Formula library

Effective Exhaust Velocity

Effective Exhaust Velocity
\[v_e=I_{sp}g_0\]

Variables

veeffective exhaust velocity (m/s)
Ispspecific impulse (s)
g0standard gravitational acceleration (9.80665 m/s²)

Description

What is this formula?


The Effective Exhaust Velocity formula converts specific impulse into an equivalent exhaust velocity.


It provides a direct measure of how fast propellant leaves a propulsion system and is widely used in rocket performance calculations.


Effective exhaust velocity is the parameter used in the Tsiolkovsky Rocket Equation.


When to use it


Use this equation when converting rocket engine specific impulse into exhaust velocity for mission analysis, delta-v calculations, and propulsion system comparisons.


It is commonly used in astronautics and spacecraft engineering.


Example


A rocket engine has:


Specific impulse = 320 s


Standard gravity = 9.80665 m/s²


Formula:


ve = Isp × g0


Substitution:


ve = 320 × 9.80665


ve = 3138.1 m/s


Result:


Effective exhaust velocity = 3138 m/s


Applications


Rocket performance analysis


Delta-v calculations


Spacecraft mission planning


Propulsion system comparison


Launch vehicle design


Astronautics


Note


Effective exhaust velocity is not necessarily equal to the actual measured gas velocity at the nozzle exit. It is an equivalent velocity that incorporates all thrust-producing effects and provides a convenient parameter for rocket performance calculations. The relation assumes the standard definition of specific impulse using standard Earth gravity.

fCalc · Android

Take this formula to fCalc and evaluate it directly on your Android device.

Get it on Google Play

Content language

EnglishSpanish