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An accelerometer is a device that measures proper acceleration. [1] Proper acceleration, being the acceleration (or rate of change of velocity) of a body in its own instantaneous rest frame, [2] is not the same as coordinate acceleration, being the acceleration in a fixed coordinate system. For example, an accelerometer at rest on the surface of the Earth will measure an acceleration due to Earth's gravity, straight upwards [3] (by definition) of g ≈ 9.81 m/s2. By contrast, accelerometers in free fall (falling toward the center of the Earth at a rate of about 9.81 m/s2) will measure zero.

Proper acceleration

In relativity theory, proper acceleration is the physical acceleration experienced by an object. It is thus acceleration relative to a free-fall, or inertial, observer who is momentarily at rest relative to the object being measured. Gravitation therefore does not cause proper acceleration, since gravity acts upon the inertial observer that any proper acceleration must depart from. A corollary is that all inertial observers always have a proper acceleration of zero.

Acceleration Rate at which the magnitude and/or direction of velocity changes with time

In physics, acceleration is the rate of change of velocity of an object with respect to time. An object's acceleration is the net result of all forces acting on the object, as described by Newton's Second Law. The SI unit for acceleration is metre per second squared (m⋅s−2). Accelerations are vector quantities and add according to the parallelogram law. The vector of the net force acting on a body has the same direction as the vector of the body's acceleration, and its magnitude is proportional to the magnitude of the acceleration, with the object's mass as proportionality constant.

Velocity rate of change of the position of an object as a function of time, and the direction of that change

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies.


Accelerometers have multiple applications in industry and science. Highly sensitive accelerometers are components of inertial navigation systems for aircraft and missiles. Accelerometers are used to detect and monitor vibration in rotating machinery. Accelerometers are used in tablet computers and digital cameras so that images on screens are always displayed upright. Accelerometers are used in drones for flight stabilisation. Coordinated accelerometers can be used to measure differences in proper acceleration, particularly gravity, over their separation in space; i.e., gradient of the gravitational field. This gravity gradiometry is useful because absolute gravity is a weak effect and depends on local density of the Earth which is quite variable.

Inertial navigation system navigation aid relying on systems contained within the vehicle to determine location

An inertial navigation system (INS) is a navigation device that uses a computer, motion sensors (accelerometers) and rotation sensors (gyroscopes) to continuously calculate by dead reckoning the position, the orientation, and the velocity of a moving object without the need for external references. Often the inertial sensors are supplemented by a barometric altimeter and occasionally by magnetic sensors (magnetometers) and/or speed measuring devices. INSs are used on vehicles such as ships, aircraft, submarines, guided missiles, and spacecraft. Other terms used to refer to inertial navigation systems or closely related devices include inertial guidance system, inertial instrument, inertial measurement unit (IMU) and many other variations. Older INS systems generally used an inertial platform as their mounting point to the vehicle and the terms are sometimes considered synonymous.

Tablet computer mobile computer with display, circuitry and battery in a single unit

A tablet computer, commonly shortened to tablet, is a mobile device, typically with a mobile operating system and touchscreen display processing circuitry, and a rechargeable battery in a single, thin and flat package. Tablets, being computers, do what other personal computers do, but lack some input/output (I/O) abilities that others have. Modern tablets largely resemble modern smartphones, the only differences being that tablets are relatively larger than smartphones, with screens 7 inches (18 cm) or larger, measured diagonally, and may not support access to a cellular network.

In physics, a gravitational field is a model used to explain the influence that a massive body extends into the space around itself, producing a force on another massive body. Thus, a gravitational field is used to explain gravitational phenomena, and is measured in newtons per kilogram (N/kg). In its original concept, gravity was a force between point masses. Following Isaac Newton, Pierre-Simon Laplace attempted to model gravity as some kind of radiation field or fluid, and since the 19th century explanations for gravity have usually been taught in terms of a field model, rather than a point attraction.

Single- and multi-axis models of accelerometer are available to detect magnitude and direction of the proper acceleration, as a vector quantity, and can be used to sense orientation (because direction of weight changes), coordinate acceleration, vibration, shock, and falling in a resistive medium (a case where the proper acceleration changes, since it starts at zero, then increases). Micromachined microelectromechanical systems (MEMS) accelerometers are increasingly present in portable electronic devices and video game controllers, to detect the position of the device or provide for game input.

Euclidean vector Geometric object that has magnitude (or length) and direction

In mathematics, physics, and engineering, a Euclidean vector is a geometric object that has magnitude and direction. Vectors can be added to other vectors according to vector algebra. A Euclidean vector is frequently represented by a line segment with a definite direction, or graphically as an arrow, connecting an initial pointA with a terminal pointB, and denoted by

A shock indicator is a mechanical device that detects and records mechanical shocks experienced by it. It is a common practice to attach shock indicators to expensive goods that are to be shipped. This way, the magnitude and the time of shocks are recorded to ensure that delicate and expensive instruments are not mishandled or exposed to inappropriate environmental conditions during shipping. The shock indicator provides a visual indication whether the shock threshold has been reached or exceeded, e.g. in the form of a broken spring or a digital display.

Microelectromechanical systems technology of very small devices

Microelectromechanical systems is the technology of microscopic devices, particularly those with moving parts. It merges at the nano-scale into nanoelectromechanical systems (NEMS) and nanotechnology. MEMS are also referred to as micromachines in Japan, or micro systems technology (MST) in Europe.

Physical principles

An accelerometer measures proper acceleration, which is the acceleration it experiences relative to freefall and is the acceleration felt by people and objects. [2] Put another way, at any point in spacetime the equivalence principle guarantees the existence of a local inertial frame, and an accelerometer measures the acceleration relative to that frame. [4] Such accelerations are popularly denoted g-force; i.e., in comparison to standard gravity.

Equivalence principle principle of general relativity stating that inertial and gravitational masses are equivalent

In the theory of general relativity, the equivalence principle is the equivalence of gravitational and inertial mass, and Albert Einstein's observation that the gravitational "force" as experienced locally while standing on a massive body is the same as the pseudo-force experienced by an observer in a non-inertial (accelerated) frame of reference.

An inertial frame of reference in classical physics and special relativity possesses the property that in this frame of reference a body with zero net force acting upon it does not accelerate; that is, such a body is at rest or moving at a constant velocity. An inertial frame of reference can be defined in analytical terms as a frame of reference that describes time and space homogeneously, isotropically, and in a time-independent manner. Conceptually, the physics of a system in an inertial frame have no causes external to the system. An inertial frame of reference may also be called an inertial reference frame, inertial frame, Galilean reference frame, or inertial space.

g-force Term for accelerations felt as weight and measurable by accelerometers

The gravitational force equivalent, or, more commonly, g-force, is a measurement of the type of force per unit mass – typically acceleration – that causes a perception of weight, with a g-force of 1 g equal to the conventional value of gravitational acceleration on Earth, g, of about 9.8 m/s2. Since g-forces indirectly produce weight, any g-force can be described as a "weight per unit mass". When the g-force is produced by the surface of one object being pushed by the surface of another object, the reaction force to this push produces an equal and opposite weight for every unit of an object's mass. The types of forces involved are transmitted through objects by interior mechanical stresses. Gravitational acceleration is the cause of an object's acceleration in relation to free fall.

An accelerometer at rest relative to the Earth's surface will indicate approximately 1 g upwards, because the Earth's surface exerts a normal force upwards relative to the local inertial frame (the frame of a freely falling object near the surface). To obtain the acceleration due to motion with respect to the Earth, this "gravity offset" must be subtracted and corrections made for effects caused by the Earth's rotation relative to the inertial frame.

The reason for the appearance of a gravitational offset is Einstein's equivalence principle, [5] which states that the effects of gravity on an object are indistinguishable from acceleration. When held fixed in a gravitational field by, for example, applying a ground reaction force or an equivalent upward thrust, the reference frame for an accelerometer (its own casing) accelerates upwards with respect to a free-falling reference frame. The effects of this acceleration are indistinguishable from any other acceleration experienced by the instrument, so that an accelerometer cannot detect the difference between sitting in a rocket on the launch pad, and being in the same rocket in deep space while it uses its engines to accelerate at 1 g. For similar reasons, an accelerometer will read zero during any type of free fall. This includes use in a coasting spaceship in deep space far from any mass, a spaceship orbiting the Earth, an airplane in a parabolic "zero-g" arc, or any free-fall in vacuum. Another example is free-fall at a sufficiently high altitude that atmospheric effects can be neglected.

Free fall motion of a body where its weight is the only force acting upon it; any motion of a body where gravity is the only force acting upon it

In Newtonian physics, free fall is any motion of a body where gravity is the only acceleration acting upon it. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it.

However this does not include a (non-free) fall in which air resistance produces drag forces that reduce the acceleration, until constant terminal velocity is reached. At terminal velocity the accelerometer will indicate 1 g acceleration upwards. For the same reason a skydiver, upon reaching terminal velocity, does not feel as though he or she were in "free-fall", but rather experiences a feeling similar to being supported (at 1 g) on a "bed" of uprushing air.

Terminal velocity highest velocity attainable by an object as it falls through a fluid

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid. It occurs when the sum of the drag force (Fd) and the buoyancy is equal to the downward force of gravity (FG) acting on the object. Since the net force on the object is zero, the object has zero acceleration.

Parachuting action sport of exiting an aircraft and returning to Earth using a parachute

Parachuting is a method of transiting from a high point to Earth with the aid of gravity, involving the control of speed during the descent with the use of a parachute or parachutes. It may involve more or less free-falling which is a period when the parachute has not yet been deployed and the body gradually accelerates to terminal velocity.

Acceleration is quantified in the SI unit metres per second per second (m/s2), in the cgs unit gal (Gal), or popularly in terms of standard gravity (g).

For the practical purpose of finding the acceleration of objects with respect to the Earth, such as for use in an inertial navigation system, a knowledge of local gravity is required. This can be obtained either by calibrating the device at rest, [6] or from a known model of gravity at the approximate current position.


Conceptually, an accelerometer behaves as a damped mass on a spring. When the accelerometer experiences an acceleration, the mass is displaced to the point that the spring is able to accelerate the mass at the same rate as the casing. The displacement is then measured to give the acceleration.

In commercial devices, piezoelectric, piezoresistive and capacitive components are commonly used to convert the mechanical motion into an electrical signal. Piezoelectric accelerometers rely on piezoceramics (e.g. lead zirconate titanate) or single crystals (e.g. quartz, tourmaline). They are unmatched in terms of their upper frequency range, low packaged weight and high temperature range. Piezoresistive accelerometers are preferred in high shock applications. Capacitive accelerometers typically use a silicon micro-machined sensing element. Their performance is superior in the low frequency range and they can be operated in servo mode to achieve high stability and linearity.

Modern accelerometers are often small micro electro-mechanical systems (MEMS), and are indeed the simplest MEMS devices possible, consisting of little more than a cantilever beam with a proof mass (also known as seismic mass). Damping results from the residual gas sealed in the device. As long as the Q-factor is not too low, damping does not result in a lower sensitivity.

Under the influence of external accelerations the proof mass deflects from its neutral position. This deflection is measured in an analog or digital manner. Most commonly, the capacitance between a set of fixed beams and a set of beams attached to the proof mass is measured. This method is simple, reliable, and inexpensive. Integrating piezoresistors in the springs to detect spring deformation, and thus deflection, is a good alternative, although a few more process steps are needed during the fabrication sequence. For very high sensitivities quantum tunneling is also used; this requires a dedicated process making it very expensive. Optical measurement has been demonstrated on laboratory scale.

Another, relatively new type of MEMS-based accelerometer is a thermal (or convective) accelerometer [7] that contains a small heater at the bottom of a very small dome, which heats the air/fluid inside the dome, producing a thermal bubble that acts as the proof mass. An accompanying temperature sensor (like thermistor; or thermopile) in the dome is used to determine the temperature profile inside the dome, hence, letting us know the location of the heated bubble within the dome. Now, due to any applied acceleration, there occurs a physical displacement of the thermal bubble and it gets deflected off its center position within the dome. Measuring this displacement, the acceleration applied to the sensor can be measured. Due to the absence of solid proof mass, thermal accelerometers yields high shock survival rating.

Most micromechanical accelerometers operate in-plane, that is, they are designed to be sensitive only to a direction in the plane of the die. By integrating two devices perpendicularly on a single die a two-axis accelerometer can be made. By adding another out-of-plane device, three axes can be measured. Such a combination may have much lower misalignment error than three discrete models combined after packaging.

Micromechanical accelerometers are available in a wide variety of measuring ranges, reaching up to thousands of g's. The designer must make a compromise between sensitivity and the maximum acceleration that can be measured.



Accelerometers can be used to measure vehicle acceleration. Accelerometers can be used to measure vibration on cars, machines, buildings, process control systems and safety installations. They can also be used to measure seismic activity, inclination, machine vibration, dynamic distance and speed with or without the influence of gravity. Applications for accelerometers that measure gravity, wherein an accelerometer is specifically configured for use in gravimetry, are called gravimeters.

Notebook computers equipped with accelerometers can contribute to the Quake-Catcher Network (QCN), a BOINC project aimed at scientific research of earthquakes. [8]


Accelerometers are also increasingly used in the biological sciences. High frequency recordings of bi-axial [9] or tri-axial acceleration [10] allows the discrimination of behavioral patterns while animals are out of sight. Furthermore, recordings of acceleration allow researchers to quantify the rate at which an animal is expending energy in the wild, by either determination of limb-stroke frequency [11] or measures such as overall dynamic body acceleration [12] Such approaches have mostly been adopted by marine scientists due to an inability to study animals in the wild using visual observations, however an increasing number of terrestrial biologists are adopting similar approaches.


Accelerometers are also used for machinery health monitoring to report the vibration and its changes in time of shafts at the bearings of rotating equipment such as turbines, pumps, [13] fans, [14] rollers, [15] compressors, [16] [17] or bearing fault [18] which, if not attended to promptly, can lead to costly repairs. Accelerometer vibration data allows the user to monitor machines and detect these faults before the rotating equipment fails completely.

Building and structural monitoring

Accelerometers are used to measure the motion and vibration of a structure that is exposed to dynamic loads. [19] Dynamic loads originate from a variety of sources including:

Under structural applications, measuring and recording how a structure dynamically responds to these inputs is critical for assessing the safety and viability of a structure. This type of monitoring is called Health Monitoring, which usually involves other types of instruments, such as displacement sensors -Potentiometers, LVDTs, etc.- deformation sensors -Strain Gauges, Extensometers-, load sensors -Load Cells, Piezo-Electric Sensors- among others.

Medical applications

Zoll's AED Plus uses CPR-D•padz which contain an accelerometer to measure the depth of CPR chest compressions.

Within the last several years, several companies have produced and marketed sports watches for runners that include footpods, containing accelerometers to help determine the speed and distance for the runner wearing the unit.

In Belgium, accelerometer-based step counters are promoted by the government to encourage people to walk a few thousand steps each day.

Herman Digital Trainer uses accelerometers to measure strike force in physical training. [20] [21]

It has been suggested to build football helmets with accelerometers in order to measure the impact of head collisions. [22]

Accelerometers have been used to calculate gait parameters, such as stance and swing phase. This kind of sensor can be used to measure or monitor people. [23] [24]

An inertial navigation system is a navigation aid that uses a computer and motion sensors (accelerometers) to continuously calculate via dead reckoning the position, orientation, and velocity (direction and speed of movement) of a moving object without the need for external references. Other terms used to refer to inertial navigation systems or closely related devices include inertial guidance system, inertial reference platform, and many other variations.

An accelerometer alone is unsuitable to determine changes in altitude over distances where the vertical decrease of gravity is significant, such as for aircraft and rockets. In the presence of a gravitational gradient, the calibration and data reduction process is numerically unstable. [25] [26]


Accelerometers are used to detect apogee in both professional [27] and in amateur [28] rocketry.

Accelerometers are also being used in Intelligent Compaction rollers. Accelerometers are used alongside gyroscopes in inertial navigation systems. [29]

One of the most common uses for MEMS accelerometers is in airbag deployment systems for modern automobiles. In this case, the accelerometers are used to detect the rapid negative acceleration of the vehicle to determine when a collision has occurred and the severity of the collision. Another common automotive use is in electronic stability control systems, which use a lateral accelerometer to measure cornering forces. The widespread use of accelerometers in the automotive industry has pushed their cost down dramatically. [30] Another automotive application is the monitoring of noise, vibration, and harshness (NVH), conditions that cause discomfort for drivers and passengers and may also be indicators of mechanical faults.

Tilting trains use accelerometers and gyroscopes to calculate the required tilt. [31]


Modern electronic accelerometers are used in remote sensing devices intended for the monitoring of active volcanoes to detect the motion of magma. [32]

Consumer electronics

Accelerometers are increasingly being incorporated into personal electronic devices to detect the orientation of the device, for example, a display screen.

A free-fall sensor (FFS) is an accelerometer used to detect if a system has been dropped and is falling. It can then apply safety measures such as parking the head of a hard disk to prevent a head crash and resulting data loss upon impact. This device is included in the many common computer and consumer electronic products that are produced by a variety of manufacturers. It is also used in some data loggers to monitor handling operations for shipping containers. The length of time in free fall is used to calculate the height of drop and to estimate the shock to the package.

Motion input

Tri-axis Digital Accelerometer by Kionix, inside Motorola Xoom Motorola Xoom - Kionix KXTF9-1171.jpg
Tri-axis Digital Accelerometer by Kionix, inside Motorola Xoom

Some smartphones, digital audio players and personal digital assistants contain accelerometers for user interface control; often the accelerometer is used to present landscape or portrait views of the device's screen, based on the way the device is being held. Apple has included an accelerometer in every generation of iPhone, iPad, and iPod touch, as well as in every iPod nano since the 4th generation. Along with orientation view adjustment, accelerometers in mobile devices can also be used as pedometers, in conjunction with specialized applications. [33]

Automatic Collision Notification (ACN) systems also use accelerometers in a system to call for help in event of a vehicle crash. Prominent ACN systems include OnStar AACN service, Ford Link's 911 Assist, Toyota's Safety Connect, Lexus Link, or BMW Assist. Many accelerometer-equipped smartphones also have ACN software available for download. ACN systems are activated by detecting crash-strength accelerations.

Accelerometers are used in vehicle Electronic stability control systems to measure the vehicle's actual movement. A computer compares the vehicle's actual movement to the driver's steering and throttle input. The stability control computer can selectively brake individual wheels and/or reduce engine power to minimize the difference between driver input and the vehicle's actual movement. This can help prevent the vehicle from spinning or rolling over.

Some pedometers use an accelerometer to more accurately measure the number of steps taken and distance traveled than a mechanical sensor can provide.

Nintendo's Wii video game console uses a controller called a Wii Remote that contains a three-axis accelerometer and was designed primarily for motion input. Users also have the option of buying an additional motion-sensitive attachment, the Nunchuk, so that motion input could be recorded from both of the user's hands independently. Is also used on the Nintendo 3DS system.

The Sony PlayStation 3 uses the DualShock 3 remote which uses a three axis accelerometer that can be used to make steering more realistic in racing games, such as MotorStorm and Burnout Paradise .

The Nokia 5500 sport features a 3D accelerometer that can be accessed from software. It is used for step recognition (counting) in a sport application, and for tap gesture recognition in the user interface. Tap gestures can be used for controlling the music player and the sport application, for example to change to next song by tapping through clothing when the device is in a pocket. Other uses for accelerometer in Nokia phones include Pedometer functionality in Nokia Sports Tracker. Some other devices provide the tilt sensing feature with a cheaper component, which is not a true accelerometer.

Sleep phase alarm clocks use accelerometric sensors to detect movement of a sleeper, so that it can wake the person when he/she is not in REM phase, in order to awaken the person more easily.

Sound recording

A microphone or eardrum is a membrane that responds to oscillations in air pressure. These oscillations cause acceleration, so accelerometers can be used to record sound. [34] A 2012 study found that voices can be detected by smartphone accelerometers in 93% of typical daily situations. [35]

Conversely, carefully designed sounds can cause accelerometers to report false data. One study tested 20 models of (MEMS) smartphone accelerometers and found that a majority were susceptible to this attack. [36]

Orientation sensing

A number of 21st-century devices use accelerometers to align the screen depending on the direction the device is held (e.g., switching between portrait and landscape modes). Such devices include many tablet PCs and some smartphones and digital cameras. The Amida Simputer, a handheld Linux device launched in 2004, was the first commercial handheld to have a built-in accelerometer. It incorporated many gesture-based interactions using this accelerometer, including page-turning, zoom-in and zoom-out of images, change of portrait to landscape mode, and many simple gesture-based games.

As of January 2009, almost all new mobile phones and digital cameras contain at least a tilt sensor and sometimes an accelerometer for the purpose of auto image rotation, motion-sensitive mini-games, and correcting shake when taking photographs.

Image stabilization

Camcorders use accelerometers for image stabilization, either by moving optical elements to adjust the light path to the sensor to cancel out unintended motions or digitally shifting the image to smooth out detected motion. Some stills cameras use accelerometers for anti-blur capturing. The camera holds off capturing the image when the camera is moving. When the camera is still (if only for a millisecond, as could be the case for vibration), the image is captured. An example of the application of this technology is the Glogger VS2, [37] a phone application which runs on Symbian based phones with accelerometers such as the Nokia N96. Some digital cameras contain accelerometers to determine the orientation of the photo being taken and also for rotating the current picture when viewing.

Device integrity

Many laptops feature an accelerometer which is used to detect drops. If a drop is detected, the heads of the hard disk are parked to avoid data loss and possible head or disk damage by the ensuing shock.


A gravimeter or gravitometer, is an instrument used in gravimetry for measuring the local gravitational field. A gravimeter is a type of accelerometer, except that accelerometers are susceptible to all vibrations including noise, that cause oscillatory accelerations. This is counteracted in the gravimeter by integral vibration isolation and signal processing. Though the essential principle of design is the same as in accelerometers, gravimeters are typically designed to be much more sensitive than accelerometers in order to measure very tiny changes within the Earth's gravity, of 1 g. In contrast, other accelerometers are often designed to measure 1000 g or more, and many perform multi-axial measurements. The constraints on temporal resolution are usually less for gravimeters, so that resolution can be increased by processing the output with a longer "time constant".

Types of accelerometer

See also

Related Research Articles

Gyroscope device for measuring or maintaining orientation and direction

A gyroscope is a device used for measuring or maintaining orientation and angular velocity. It is a spinning wheel or disc in which the axis of rotation is free to assume any orientation by itself. When rotating, the orientation of this axis is unaffected by tilting or rotation of the mounting, according to the conservation of angular momentum.

Microtechnology is technology with features near one micrometre.

Micromachinery mechanical objects that are fabricated in the same general manner as integrated circuits

Micromachines are mechanical objects that are fabricated in the same general manner as integrated circuits. They are generally considered to be between 100 nanometres to 100 micrometres in size, though that is debatable. The applications of micromachines include accelerometers that detect when a car has hit an object and trigger an airbag. Complex systems of gears and levers are another application.

Gravimeter Instrument used to measure gravitational acceleration

A gravimeter is an instrument used to measure gravitational acceleration. Every mass has an associated gravitational potential. The gradient of this potential is a force. A gravimeter measures this gravitational force.

Pedometer device, usually portable and electronic or electromechanical, that counts each step a person takes by detecting the motion of the persons hands or hips

A pedometer is a device, usually portable and electronic or electromechanical, that counts each step a person takes by detecting the motion of the person's hands or hips. Because the distance of each person's step varies, an informal calibration, performed by the user, is required if presentation of the distance covered in a unit of length is desired, though there are now pedometers that use electronics and software to automatically determine how a person's step varies. Distance traveled can be measured directly by a GPS receiver.

Inclinometer instrument used to measure the inclination of a surface relative to local gravity

An inclinometer or clinometer is an instrument used for measuring angles of slope, elevation, or depression of an object with respect to gravity's direction. It is also known as a tilt indicator, tilt sensor, tilt meter, slope alert, slope gauge, gradient meter, gradiometer, level gauge, level meter, declinometer, and pitch & roll indicator. Clinometers measure both inclines and declines using three different units of measure: degrees, percent, and topo. Astrolabes are inclinometers that were used for navigation and locating astronomical objects from ancient times to the Renaissance.

A vibrating structure gyroscope, defined by the IEEE as a Coriolis vibratory gyroscope (CVG), is a gyroscope that uses a vibrating structure to determine the rate of rotation. A vibrating structure gyroscope functions much like the halteres of flies.

Schuler tuning is a design principle for inertial navigation systems that accounts for the curvature of the Earth. An inertial navigation system, used in submarines, ships, aircraft, and other vehicles to keep track of position, determines directions with respect to three axes pointing "north", "east", and "down". To detect the vehicle's orientation, the system contains an "inertial platform" mounted on gimbals, with gyroscopes that detect motion connected to a servo system to keep it pointing in a fixed orientation in space. However, the directions "north", "east" and "down" change as the vehicle moves on the curved surface of the Earth. Schuler tuning describes the conditions necessary for an inertial navigation system to keep the inertial platform always pointing "north", "east" and "down", so it gives correct directions on the near-spherical Earth. It is widely used in electronic control systems.

Gravimetry Measurement of the strength of a gravitational field

Gravimetry is the measurement of the strength of a gravitational field. Gravimetry may be used when either the magnitude of gravitational field or the properties of matter responsible for its creation are of interest.

Piezoelectric sensor

A piezoelectric sensor is a device that uses the piezoelectric effect, to measure changes in pressure, acceleration, temperature, strain, or force by converting them to an electrical charge. The prefix piezo- is Greek for 'press' or 'squeeze'.

Gravity gradiometry is the study and measurement of variations in the acceleration due to gravity. The gravity gradient is the spatial rate of change of gravitational acceleration.

Piezoelectric accelerometer

A piezoelectric accelerometer is an accelerometer that employs the piezoelectric effect of certain materials to measure dynamic changes in mechanical variables.

Inertial measurement unit electronic device to measure a crafts velocity and orientation

An inertial measurement unit (IMU) is an electronic device that measures and reports a body's specific force, angular rate, and sometimes the orientation of the body, using a combination of accelerometers, gyroscopes, and sometimes magnetometers. IMUs are typically used to maneuver aircraft, including unmanned aerial vehicles (UAVs), among many others, and spacecraft, including satellites and landers. Recent developments allow for the production of IMU-enabled GPS devices. An IMU allows a GPS receiver to work when GPS-signals are unavailable, such as in tunnels, inside buildings, or when electronic interference is present. A wireless IMU is known as a WIMU.

Sensors able to detect three-dimensional motion have been commercially available for several decades and have been used in automobiles, aircraft and ships. However, initial size, power consumption and price had prevented their mass adoption in consumer electronics. While there are other kinds of motion detector technologies available commercially, there are four principle types of motion sensors which are important for motion processing in the consumer electronics market.

MEMS magnetic field sensor

A MEMSmagnetic field sensor is a small-scale microelectromechanical systems (MEMS) device for detecting and measuring magnetic fields (Magnetometer). Many of these operate by detecting effects of the Lorentz force: a change in voltage or resonant frequency may be measured electronically, or a mechanical displacement may be measured optically. Compensation for temperature effects is necessary. Its use as a miniaturized compass may be one such simple example application.

Shock and vibration data logger

A shock data logger or vibration data logger is a measurement instrument that is capable of autonomously recording shocks or vibrations over a defined period of time. Digital data is usually in the form of acceleration and time. The shock and vibration data can be retrieved, viewed and evaluated after it has been recorded.

Inertial audio effects controller

An inertial audio effects controller is an electronic device that senses changes in acceleration, angular velocity and/or a magnetic field, and relays those changes to an effects controller. Transmitting the sensed data can be done via wired or wireless methods. To be of use the effects controller must be connected to an effect unit so that an effect can be modulated, or connected to a MIDI controller or musical keyboard. The Wah-Wah effect is a classic example of effect modulation.

The three-axis acceleration switch is a micromachined microelectromechanical systems (MEMS) sensor that detects whether an acceleration event has exceeded a predefined threshold. It is a small, compact device, only 5mm by 5mm, and measures acceleration in the x, y, and z axes. It was developed by the Army Research Laboratory for the purposes of traumatic brain injury (TBI) research and was first introduced in 2012 at the 25th International Conference on Micro Electro Mechanical Systems (MEMS).


  1. Tinder, Richard F. (2007). Relativistic Flight Mechanics and Space Travel: A Primer for Students, Engineers and Scientists. Morgan & Claypool Publishers. p. 33. ISBN   978-1-59829-130-8. Extract of page 33
  2. 1 2 Rindler, W. (2013). Essential Relativity: Special, General, and Cosmological (illustrated ed.). Springer. p. 61. ISBN   978-1-4757-1135-6. Extract of page 61
  3. Corke, Peter (2017). Robotics, Vision and Control: Fundamental Algorithms In MATLAB (second, completely revised, extended and updated ed.). Springer. p. 83. ISBN   978-3-319-54413-7. Extract of page 83
  4. Einstein, Albert (1920). "20". Relativity: The Special and General Theory. New York: Henry Holt. p. 168. ISBN   978-1-58734-092-5.
  5. Penrose, Roger (2005) [2004]. "17.4 The Principle of Equivalence". The Road to Reality. New York: Knopf. pp. 393–394. ISBN   978-0-470-08578-3.
  6. Doscher, James. "Accelerometer Design and Applications". Analog Devices. Archived from the original on 13 December 2008. Retrieved 2008-12-23.
  7. Mukherjee, Rahul; Basu, Joydeep; Mandal, Pradip; Guha, Prasanta Kumar (2017). "A review of micromachined thermal accelerometers". Journal of Micromechanics and Microengineering. 27 (12): 123002. arXiv: 1801.07297 . Bibcode:2017JMiMi..27l3002M. doi:10.1088/1361-6439/aa964d.
  8. "Quake-Catcher Network – Downloads". Quake-Catcher Network. Retrieved 15 July 2009. If you have a Mac laptop , a Thinkpad (2003 or later), or a desktop with a USB sensor, you can download software to turn your computer into a Quake-Catcher Sensor
  9. Yoda et al. (2001) Journal of Experimental Biology204(4): 685–690
  10. Shepard, Emily L. C.; Wilson, Rory P.; Quintana, Flavio; Laich, Agustina Gómez; Liebsch, Nikolai; Albaredas, Diego A.; Halsey, Lewis G.; Gleiss, Adrian; Morgan, David T.; Myers, Andrew E.; Newman, Chris; Macdonald, David W. "Identification of animal movement patterns using tri-axial accelerometry" (PDF). Archived (PDF) from the original on 7 November 2012. Retrieved 2014-09-11.
  11. Kawabe et al. (2003) Fisheries Science 69 (5):959 – 965
  12. Wilson et al. (2006) Journal of Animal Ecology:75 (5):1081 – 1090
  13. Klubnik, Renard; Sullivan, Ron. "Know the Age of your Pumps" (PDF). Archived from the original (PDF) on 14 November 2012. Retrieved 9 January 2009.
  14. Wilcoxon Research. "Guidance for mounting 4–20 mA vibration sensors on fans" (PDF). Archived from the original (PDF) on 4 March 2016. Retrieved 11 September 2014.
  15. Klubnik, Renard; Sullivan, Ron. "Know the Health of your Pumps" (PDF). Archived from the original (PDF) on 14 November 2012. Retrieved 11 September 2014.
  16. "Low Frequency Vibration Measurements on a Compressor Gear Set" (PDF). wilcoxon research. 14 November 2014. Archived from the original (PDF) on 14 November 2012. Retrieved 11 September 2014. The gear set on a critical turbo-compressor was monitored with a standard industrial accelerometer at very low frequencies...
  17. "Gearbox tutorial" (PDF). Wilcoxon Research. 11 September 2014. Archived from the original (PDF) on 14 November 2012. Retrieved 9 January 2009.
  18. "Bearing Failure: Causes and Cures Bearing Failure: Causes and Cures" (PDF). Archived from the original (PDF) on 22 September 2015. Retrieved 11 September 2014.
  19. O. Sircovich Saar "Dynamics in the Practice of Structural Design" 2006 WIT Press ISBN   1-84564-161-2
  20. The Contender 3 Episode 1 SPARQ testing ESPN
  21. "Welcome to innovator of interactive personal training for fitness, – MARTIAL ARTS & MMA" . Retrieved 12 September 2014.
  22. Nosovitz, Dan. "NFL Testing Helmets With Impact-Sensing Accelerometers for Concussion Analysis". Popular Science. Archived from the original on 12 September 2014.
  23. Irvin Hussein López-Nava (2010). "Towards Ubiquitous Acquisition and Processing of Gait Parameters". Towards Ubiquitous Acquisition and Processing of Gait Parameters - Springer. Lecture Notes in Computer Science. 6437. pp. 410–421. doi:10.1007/978-3-642-16761-4_36. ISBN   978-3-642-16760-7.
  24. Lopez-Nava I. H. et Munoz-Melendez A. (2010). Towards ubiquitous acquisition and processing of gait parameters. In 9th Mexican International Conference on Artificial Intelligence, Hidalgo, Mexico.
  25. "Vertical Speed Measurement, by Ed Hahn in sci.aeronautics.airliners, 1996-11-22" . Retrieved 12 September 2014.
  26. USpatent 6640165,Hayward, Kirk W. and Stephenson, Larry G.,"Method and system of determining altitude of flying object",issued 2003-10-28
  27. "Dual Deployment" . Retrieved 12 September 2014.
  28. "PICO altimeter". Archived from the original on 19 December 2005. Retrieved 12 September 2014.
  29. "Design of an integrated strapdown guidance and control system for a tactical missile" WILLIAMS, D. E.RICHMAN, J.FRIEDLAND, B. (Singer Co., Kearfott Div., Little Falls, NJ) AIAA-1983-2169 IN: Guidance and Control Conference, Gatlinburg, TN, August 15–17, 1983, Collection of Technical Papers (A83-41659 19–63). New York, American Institute of Aeronautics and Astronautics, 1983, p. 57-66.
  30. Andrejašic, Matej (March 2008). MEMS ACCELEROMETERS (PDF). University of Ljubljana. Archived (PDF) from the original on 11 June 2014.
  31. Tilting trains shorten transit time Archived June 4, 2011, at the Wayback Machine . Retrieved on 17 October 2011.
  32. Michael Randall. "USGS – volcano monitoring" . Retrieved 12 September 2014.
  33. "These Apps Are Made For Walking -" . Retrieved 12 September 2014.
  34. Using MEMS Accelerometers as Acoustic Pickups in Musical Instruments
  35. IEEE 2012, Speech Activity Detection using Accelerometer,Aleksandar Matic,
  36. IEEE Spectrum Smartphone Accelerometers Can Be Fooled by Sound Waves.
  37. "Glogger" . Retrieved 12 September 2014.
  38. "Mullard: DDR100 Accelerometer Double Diode data sheet" (PDF). Retrieved 7 May 2013.