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Rocket Engine Calculation

Thrust Formula:

\[ F = V_e \times \frac{dm}{dt} \]

m/s
kg/s

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1. What is the Rocket Engine Thrust Equation?

The rocket engine thrust equation calculates the force produced by a rocket engine based on exhaust velocity and mass flow rate. It is a fundamental equation in rocket propulsion that describes how thrust is generated through the expulsion of mass.

2. How Does the Calculator Work?

The calculator uses the thrust equation:

\[ F = V_e \times \frac{dm}{dt} \]

Where:

Explanation: The equation shows that thrust is directly proportional to both the exhaust velocity and the rate at which mass is expelled from the rocket engine.

3. Importance of Thrust Calculation

Details: Accurate thrust calculation is crucial for rocket design, performance prediction, mission planning, and ensuring that the rocket can achieve the desired acceleration and reach its target orbit or destination.

4. Using the Calculator

Tips: Enter exhaust velocity in meters per second (m/s) and mass flow rate in kilograms per second (kg/s). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect exhaust velocity?
A: Exhaust velocity depends on the propellant type, combustion chamber pressure, nozzle design, and expansion ratio of the rocket nozzle.

Q2: How is mass flow rate determined?
A: Mass flow rate is determined by the propellant consumption rate, which is controlled by the engine's design and operating conditions.

Q3: What are typical thrust values for different rockets?
A: Thrust values range from a few newtons for small attitude control thrusters to millions of newtons for large launch vehicle engines.

Q4: Does this equation account for atmospheric pressure?
A: This is the basic thrust equation. The complete thrust equation includes an additional term accounting for the pressure difference between exhaust and ambient pressure.

Q5: How does thrust relate to rocket acceleration?
A: Acceleration is determined by thrust minus drag, divided by the instantaneous mass of the rocket (Newton's second law: F = ma).

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