Thrust-to-weight ratio is a dimensionless ratio of thrust to weight of a rocket, jet engine, propeller engine, or a vehicle propelled by such an engine that is an indicator of the performance of the engine or vehicle.
The instantaneous thrust-to-weight ratio of a vehicle varies continually during operation due to progressive consumption of fuel or propellant and in some cases a gravity gradient. The thrust-to-weight ratio based on initial thrust and weight is often published and used as a figure of merit for quantitative comparison of a vehicle's initial performance.
The thrust-to-weight ratio is calculated by dividing the thrust (in SI units – in newtons) by the weight (in newtons) of the engine or vehicle. The weight (N) is calculated by multiplying the mass in kilograms (kg) by the acceleration due to gravity (m/s2). The thrust can also be measured in pound-force (lbf), provided the weight is measured in pounds (lb). Division using these two values still gives the numerically correct (dimensionless) thrust-to-weight ratio. For valid comparison of the initial thrust-to-weight ratio of two or more engines or vehicles, thrust must be measured under controlled conditions.
Because an aircraft's weight can vary considerably, depending on factors such as munition load, fuel load, cargo weight, or even the weight of the pilot, the thrust-to-weight ratio is also variable and even changes during flight operations. There are several standards for determining the weight of an aircraft used to calculate the thrust-to-weight ratio range.
The thrust-to-weight ratio and lift-to-drag ratio are the two most important parameters in determining the performance of an aircraft.
The thrust-to-weight ratio varies continually during a flight. Thrust varies with throttle setting, airspeed, altitude, air temperature, etc. Weight varies with fuel burn and payload changes. For aircraft, the quoted thrust-to-weight ratio is often the maximum static thrust at sea level divided by the maximum takeoff weight. [2] Aircraft with thrust-to-weight ratio greater than 1:1 can pitch straight up and maintain airspeed until performance decreases at higher altitude. [3]
A plane can take off even if the thrust is less than its weight as, unlike a rocket, the lifting force is produced by lift from the wings, not directly by thrust from the engine. As long as the aircraft can produce enough thrust to travel at a horizontal speed above its stall speed, the wings will produce enough lift to counter the weight of the aircraft.
For propeller-driven aircraft, the thrust-to-weight ratio can be calculated as follows in imperial units: [4]
where is propulsive efficiency (typically 0.65 for wooden propellers, 0.75 metal fixed pitch and up to 0.85 for constant-speed propellers), hp is the engine's shaft horsepower, and is true airspeed in feet per second, weight is in lbs.
The metric formula is:
The thrust-to-weight ratio of a rocket, or rocket-propelled vehicle, is an indicator of its acceleration expressed in multiples of gravitational acceleration g. [5]
Rockets and rocket-propelled vehicles operate in a wide range of gravitational environments, including the weightless environment. The thrust-to-weight ratio is usually calculated from initial gross weight at sea level on earth [6] and is sometimes called thrust-to-Earth-weight ratio. [7] The thrust-to-Earth-weight ratio of a rocket or rocket-propelled vehicle is an indicator of its acceleration expressed in multiples of earth's gravitational acceleration, g0. [5]
The thrust-to-weight ratio of a rocket improves as the propellant is burned. With constant thrust, the maximum ratio (maximum acceleration of the vehicle) is achieved just before the propellant is fully consumed. Each rocket has a characteristic thrust-to-weight curve, or acceleration curve, not just a scalar quantity.
The thrust-to-weight ratio of an engine is greater than that of the complete launch vehicle, but is nonetheless useful because it determines the maximum acceleration that any vehicle using that engine could theoretically achieve with minimum propellant and structure attached.
For a takeoff from the surface of the earth using thrust and no aerodynamic lift, the thrust-to-weight ratio for the whole vehicle must be greater than one. In general, the thrust-to-weight ratio is numerically equal to the g-force that the vehicle can generate. [5] Take-off can occur when the vehicle's g-force exceeds local gravity (expressed as a multiple of g0).
The thrust-to-weight ratio of rockets typically greatly exceeds that of airbreathing jet engines because the comparatively far greater density of rocket fuel eliminates the need for much engineering materials to pressurize it.
Many factors affect thrust-to-weight ratio. The instantaneous value typically varies over the duration of flight with the variations in thrust due to speed and altitude, together with changes in weight due to the amount of remaining propellant, and payload mass. Factors with the greatest effect include freestream air temperature, pressure, density, and composition. Depending on the engine or vehicle under consideration, the actual performance will often be affected by buoyancy and local gravitational field strength.
Vehicle | thrust-weight ratio | Notes |
---|---|---|
Northrop Grumman B-2 Spirit | 0.205 [8] | Max take-off weight, full power |
Airbus A340 | 0.2229 | Max take-off weight, full power (A340-300 Enhanced) |
Airbus A380 | 0.227 | Max take-off weight, full power |
Boeing 747-8 | 0.269 | Max take-off weight, full power |
Boeing 777 | 0.285 | Max take-off weight, full power (777-200ER) |
Boeing 737 MAX 8 | 0.311 | Max take-off weight, full power |
Airbus A320neo | 0.310 | Max take-off weight, full power |
Boeing 757-200 | 0.341 | Max take-off weight, full power (w/Rolls-Royce RB211) |
Tupolev 154B | 0.360 | Max take-off weight, full power (w/Kuznecov NK-82) |
Tupolev Tu-160 | 0.363 [ citation needed ] | Max take-off weight, full afterburners |
Concorde | 0.372 | Max take-off weight, full afterburners |
Rockwell International B-1 Lancer | 0.38 | Max take-off weight, full afterburners |
HESA Kowsar | 0.61 | With full fuel, afterburners. |
BAE Hawk | 0.65 [9] | |
Lockheed Martin F-35 A | 0.87 [ citation needed ] | With full fuel (1.07 with 50% fuel, 1.19 with 25% fuel) |
HAL Tejas Mk 1 | 1.07 | With full fuel |
CAC/PAC JF-17 Thunder | 1.07 | With full fuel |
Dassault Rafale | 0.988 [10] | Version M, 100% fuel, 2 EM A2A missile, 2 IR A2A missiles |
Sukhoi Su-30MKM | 1.00 [11] | Loaded weight with 56% internal fuel |
McDonnell Douglas F-15 | 1.04 [12] | Nominally loaded |
Mikoyan MiG-29 | 1.09 [13] | Full internal fuel, 4 AAMs |
Lockheed Martin F-22 | >1.09 (1.26 with loaded weight and 50% fuel) [14] | |
General Dynamics F-16 | 1.096[ citation needed ] (1.24 with loaded weight & 50% fuel) | |
Hawker Siddeley Harrier | 1.1[ citation needed ] | VTOL |
Eurofighter Typhoon | 1.15 [15] | Interceptor configuration |
Sukhoi Su-35 | 1.30 | |
Space Shuttle | 1.5[ citation needed ] | Take-off |
Simorgh (rocket) | 1.83 | |
Space Shuttle | 3 | Peak |
Engine | Mass | Thrust, vacuum | Thrust-to- weight ratio | |
---|---|---|---|---|
(kN) | (lbf) | |||
MD-TJ42 powered sailplane jet engine [16] | 3.85kg (8.48 lb) | 0.35 | 78.7 | 9.09 |
RD-0410 nuclear rocket engine [17] [18] | 2,000 kg (4,400 lb) | 35.2 | 7,900 | 1.8 |
Pratt & Whitney J58 jet engine (Lockheed SR-71 Blackbird) [19] [20] | 2,722 kg (6,001 lb) | 150 | 34,000 | 5.6 |
Rolls-Royce/Snecma Olympus 593 turbojet with reheat (Concorde) [21] | 3,175 kg (7,000 lb) | 169.2 | 38,000 | 5.4 |
Pratt & Whitney F119 [22] | 1,800 kg (4,000 lb) | 91 | 20,500 | 7.95 |
PBS TJ40-G1NS jet engine [23] | 3.6 kg (7.9 lb) | 0.425 | 96 | 12 |
RD-0750 rocket engine three-propellant mode [24] | 4,621 kg (10,188 lb) | 1,413 | 318,000 | 31.2 |
RD-0146 rocket engine [25] | 260 kg (570 lb) | 98 | 22,000 | 38.4 |
Rocketdyne RS-25 rocket engine (Space Shuttle Main Engine) [26] | 3,177 kg (7,004 lb) | 2,278 | 512,000 | 73.1 |
RD-180 rocket engine [27] | 5,393 kg (11,890 lb) | 4,152 | 78.7 | |
RD-170 rocket engine | 9,750 kg (21,500 lb) | 7,887 | 1,773,000 | 82.5 |
F-1 (Saturn V first stage) [28] | 8,391 kg (18,499 lb) | 7,740.5 | 1,740,100 | 94.1 |
NK-33 rocket engine [29] | 1,222 kg (2,694 lb) | 1,638 | 368,000 | 136.7 |
SpaceX Raptor 3 rocket engine [30] | 1,525 kg (3,362 lb) | 2,746 | 617,000 | 183.6 |
Merlin 1D rocket engine, full-thrust version [31] [32] | 467 kg (1,030 lb) | 914 | 205,500 | 199.5 |
Specifications | F-15K [a] | F-15C | MiG-29K | MiG-29B | JF-17 | J-10 | F-35A | F-35B | F-35C | F-22 | LCA Mk-1 |
---|---|---|---|---|---|---|---|---|---|---|---|
Engines thrust, maximum (N) | 259,420 (2) | 208,622 (2) | 176,514 (2) | 162,805 (2) | 84,400 (1) | 122,580 (1) | 177,484 (1) | 177,484 (1) | 177,484 (1) | 311,376 (2) | 84,516 (1) |
Aircraft mass, empty (kg) | 17,010 | 14,379 | 12,723 | 10,900 | 7,965 | 09,250 | 13,290 | 14,515 | 15,785 | 19,673 | 6,560 |
Aircraft mass, full fuel (kg) | 23,143 | 20,671 | 17,963 | 14,405 | 11,365 | 13,044 | 21,672 | 20,867 | 24,403 | 27,836 | 9,500 |
Aircraft mass, max. take-off load (kg) | 36,741 | 30,845 | 22,400 | 18,500 | 13,500 | 19,277 | 31,752 | 27,216 | 31,752 | 37,869 | 13,500 |
Total fuel mass (kg) | 06,133 | 06,292 | 05,240 | 03,505 | 02,300 | 03,794 | 08,382 | 06,352 | 08,618 | 08,163 | 02,458 |
T/W ratio, full fuel | 1.14 | 1.03 | 1.00 | 1.15 | 1.07 | 1.05 | 0.84 | 0.87 | 0.74 | 1.14 | 1.07 |
T/W ratio, max. take-off load | 0.72 | 0.69 | 0.80 | 0.89 | 0.70 | 0.80 | 0.57 | 0.67 | 0.57 | 0.84 | 0.80 |
With afterburner, reverser and nozzle ... 3,175 kg ... Afterburner ... 169.2 kN
The Merlin 1D weighs 1030 pounds, including the hydraulic steering (TVC) actuators. It makes 162,500 pounds of thrust in vacuum. that is nearly 158 thrust/weight. The new full thrust variant weighs the same and makes about 185,500 lbs force in vacuum.
A jet engine is a type of reaction engine, discharging a fast-moving jet of heated gas that generates thrust by jet propulsion. While this broad definition may include rocket, water jet, and hybrid propulsion, the term jet engine typically refers to an internal combustion air-breathing jet engine such as a turbojet, turbofan, ramjet, pulse jet, or scramjet. In general, jet engines are internal combustion engines.
A rocket is a vehicle that uses jet propulsion to accelerate without using any surrounding air. A rocket engine produces thrust by reaction to exhaust expelled at high speed. Rocket engines work entirely from propellant carried within the vehicle; therefore a rocket can fly in the vacuum of space. Rockets work more efficiently in a vacuum and incur a loss of thrust due to the opposing pressure of the atmosphere.
Spacecraft propulsion is any method used to accelerate spacecraft and artificial satellites. In-space propulsion exclusively deals with propulsion systems used in the vacuum of space and should not be confused with space launch or atmospheric entry.
A single-stage-to-orbit (SSTO) vehicle reaches orbit from the surface of a body using only propellants and fluids and without expending tanks, engines, or other major hardware. The term exclusively refers to reusable vehicles. To date, no Earth-launched SSTO launch vehicles have ever been flown; orbital launches from Earth have been performed by either fully or partially expendable multi-stage rockets.
Specific impulse is a measure of how efficiently a reaction mass engine, such as a rocket using propellant or a jet engine using fuel, generates thrust.
Flight or flying is the process by which an object moves through a space without contacting any planetary surface, either within an atmosphere or through the vacuum of outer space. This can be achieved by generating aerodynamic lift associated with gliding or propulsive thrust, aerostatically using buoyancy, or by ballistic movement.
Delta-v, symbolized as and pronounced deltah-vee, as used in spacecraft flight dynamics, is a measure of the impulse per unit of spacecraft mass that is needed to perform a maneuver such as launching from or landing on a planet or moon, or an in-space orbital maneuver. It is a scalar that has the units of speed. As used in this context, it is not the same as the physical change in velocity of said spacecraft.
A rocket engine uses stored rocket propellants as the reaction mass for forming a high-speed propulsive jet of fluid, usually high-temperature gas. Rocket engines are reaction engines, producing thrust by ejecting mass rearward, in accordance with Newton's third law. Most rocket engines use the combustion of reactive chemicals to supply the necessary energy, but non-combusting forms such as cold gas thrusters and nuclear thermal rockets also exist. Vehicles propelled by rocket engines are commonly used by ballistic missiles and rockets. Rocket vehicles carry their own oxidiser, unlike most combustion engines, so rocket engines can be used in a vacuum to propel spacecraft and ballistic missiles.
In aerospace engineering, the propellant mass fraction is the portion of a vehicle's mass which does not reach the destination, usually used as a measure of the vehicle's performance. In other words, the propellant mass fraction is the ratio between the propellant mass and the initial mass of the vehicle. In a spacecraft, the destination is usually an orbit, while for aircraft it is their landing location. A higher mass fraction represents less weight in a design. Another related measure is the payload fraction, which is the fraction of initial weight that is payload. It can be applied to a vehicle, a stage of a vehicle or to a rocket propulsion system.
A multistage rocket or step rocket is a launch vehicle that uses two or more rocket stages, each of which contains its own engines and propellant. A tandem or serial stage is mounted on top of another stage; a parallel stage is attached alongside another stage. The result is effectively two or more rockets stacked on top of or attached next to each other. Two-stage rockets are quite common, but rockets with as many as five separate stages have been successfully launched.
The classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part of its mass with high velocity and can thereby move due to the conservation of momentum. It is credited to Konstantin Tsiolkovsky, who independently derived it and published it in 1903, although it had been independently derived and published by William Moore in 1810, and later published in a separate book in 1813. Robert Goddard also developed it independently in 1912, and Hermann Oberth derived it independently about 1920.
Spacecraft flight dynamics is the application of mechanical dynamics to model how the external forces acting on a space vehicle or spacecraft determine its flight path. These forces are primarily of three types: propulsive force provided by the vehicle's engines; gravitational force exerted by the Earth and other celestial bodies; and aerodynamic lift and drag.
The maximal total range is the maximum distance an aircraft can fly between takeoff and landing. Powered aircraft range is limited by the aviation fuel energy storage capacity considering both weight and volume limits. Unpowered aircraft range depends on factors such as cross-country speed and environmental conditions. The range can be seen as the cross-country ground speed multiplied by the maximum time in the air. The fuel time limit for powered aircraft is fixed by the available fuel and rate of consumption.
In aerospace engineering, concerning aircraft, rocket and spacecraft design, overall propulsion system efficiency is the efficiency with which the energy contained in a vehicle's fuel is converted into kinetic energy of the vehicle, to accelerate it, or to replace losses due to aerodynamic drag or gravity. Mathematically, it is represented as , where is the cycle efficiency and is the propulsive efficiency.
A reaction engine is an engine or motor that produces thrust by expelling reaction mass, in accordance with Newton's third law of motion. This law of motion is commonly paraphrased as: "For every action force there is an equal, but opposite, reaction force."
A gravity turn or zero-lift turn is a maneuver used in launching a spacecraft into, or descending from, an orbit around a celestial body such as a planet or a moon. It is a trajectory optimization that uses gravity to steer the vehicle onto its desired trajectory. It offers two main advantages over a trajectory controlled solely through the vehicle's own thrust. First, the thrust is not used to change the spacecraft's direction, so more of it is used to accelerate the vehicle into orbit. Second, and more importantly, during the initial ascent phase the vehicle can maintain low or even zero angle of attack. This minimizes transverse aerodynamic stress on the launch vehicle, allowing for a lighter launch vehicle.
In astronautics, a powered flyby, or Oberth maneuver, is a maneuver in which a spacecraft falls into a gravitational well and then uses its engines to further accelerate as it is falling, thereby achieving additional speed. The resulting maneuver is a more efficient way to gain kinetic energy than applying the same impulse outside of a gravitational well. The gain in efficiency is explained by the Oberth effect, wherein the use of a reaction engine at higher speeds generates a greater change in mechanical energy than its use at lower speeds. In practical terms, this means that the most energy-efficient method for a spacecraft to burn its fuel is at the lowest possible orbital periapsis, when its orbital velocity is greatest. In some cases, it is even worth spending fuel on slowing the spacecraft into a gravity well to take advantage of the efficiencies of the Oberth effect. The maneuver and effect are named after the person who first described them in 1927, Hermann Oberth, a Transylvanian Saxon physicist and a founder of modern rocketry.
A cold gas thruster is a type of rocket engine which uses the expansion of a pressurized gas to generate thrust. As opposed to traditional rocket engines, a cold gas thruster does not house any combustion and therefore has lower thrust and efficiency compared to conventional monopropellant and bipropellant rocket engines. Cold gas thrusters have been referred to as the "simplest manifestation of a rocket engine" because their design consists only of a fuel tank, a regulating valve, a propelling nozzle, and the little required plumbing. They are the cheapest, simplest, and most reliable propulsion systems available for orbital maintenance, maneuvering and attitude control.
Characteristic velocity or , or C-star is a measure of the combustion performance of a rocket engine independent of nozzle performance, and is used to compare different propellants and propulsion systems. c* should not be confused with c, which is the effective exhaust velocity related to the specific impulse by: . Specific impulse and effective exhaust velocity are dependent on the nozzle design unlike the characteristic velocity, explaining why C-star is an important value when comparing different propulsion system efficiencies. c* can be useful when comparing actual combustion performance to theoretical performance in order to determine how completely chemical energy release occurred. This is known as c*-efficiency.
This glossary of aerospace engineering terms pertains specifically to aerospace engineering, its sub-disciplines, and related fields including aviation and aeronautics. For a broad overview of engineering, see glossary of engineering.