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Thrust Formula
The following formula is used to calculate the thrust force produced by a rocket engine.
T = ṁ Ve + (Pe − Pa) Ae
- ṁ – propellant mass-flow rate (kg/s)
- Ve – effective exhaust (exit) velocity relative to the rocket (m/s)
- Pe – static pressure at the nozzle exit (Pa)
- Pa – ambient (back-) pressure (Pa)
- Ae – exit area of the nozzle (m²)
Thrust Definition
Thrust is the force produced by an engine (such as a rocket or jet) when it expels mass as exhaust. For a rocket nozzle, thrust includes both the exhaust momentum term (ṁVe) and the nozzle pressure-difference term (Pe − Pa)Ae.
Thrust Example
How to calculate thrust?
- First, determine the exhaust velocity.
Use the effective exhaust (exit) velocity Vₑ relative to the rocket (or use an Isp preset to compute Vₑ = Isp×g₀).
- Next, determine the propellant mass flow.
Measure the propellant mass used (Δm) over a burn time (Δt), then compute ṁ = Δm/Δt.
- Next, determine the pressure/area terms.
Find the nozzle exit pressure Pₑ, ambient pressure Pₐ, and nozzle exit area Aₑ (or set Pₑ = Pₐ to neglect the pressure-thrust term).
- Finally, calculate the thrust.
Compute T = ṁVₑ + (Pₑ − Pₐ)Aₑ.
FAQ
Thrust is the force produced by an engine when it expels mass (exhaust). For rocket nozzles, it includes both the exhaust momentum term and (when applicable) a nozzle pressure-difference term.

