Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration Calculator

✖The Mass of Rocket is its stated mass at any given point in time while the rocket is in motion.ⓘ Mass of Rocket [m]			+10% -10%
✖Acceleration is the rate of change of velocity with respect to time.ⓘ Acceleration [a]			+10% -10%
✖Effective Exhaust Velocity of Rocket is a parameter used in rocketry to represent the average velocity of the exhaust gases expelled from a rocket engine.ⓘ Effective Exhaust Velocity of Rocket [V_eff]			+10% -10%

✖Power Required is the amount of power required to do work.ⓘ Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration [P]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Rocket Propulsion Formulas PDF PDF Image

Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Required = (Mass of Rocket*Acceleration*Effective Exhaust Velocity of Rocket)/2
P = (m*a*V_eff)/2
This formula uses 4 Variables

Variables Used

Power Required - (Measured in Watt) - Power Required is the amount of power required to do work.
Mass of Rocket - (Measured in Kilogram) - The Mass of Rocket is its stated mass at any given point in time while the rocket is in motion.
Acceleration - (Measured in Meter per Square Second) - Acceleration is the rate of change of velocity with respect to time.
Effective Exhaust Velocity of Rocket - (Measured in Meter per Second) - Effective Exhaust Velocity of Rocket is a parameter used in rocketry to represent the average velocity of the exhaust gases expelled from a rocket engine.

STEP 1: Convert Input(s) to Base Unit

Mass of Rocket: 420.5 Kilogram --> 420.5 Kilogram No Conversion Required
Acceleration: 13.85 Meter per Square Second --> 13.85 Meter per Square Second No Conversion Required
Effective Exhaust Velocity of Rocket: 248 Meter per Second --> 248 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (m*a*V_eff)/2 --> (420.5*13.85*248)/2

Evaluating ... ...

P = 722166.7

STEP 3: Convert Result to Output's Unit

722166.7 Watt -->722.1667 Kilowatt (Check conversion here)

FINAL ANSWER

722.1667 Kilowatt <-- Power Required

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Propulsion » Rocket Propulsion » Aerospace » Thrust and Power Generation » Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration

Credits

Created by Shreyash

Rajiv Gandhi Institute of Technology (RGIT), Mumbai

Shreyash has created this Calculator and 10+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Thrust and Power Generation Calculators

Power required to produce Exhaust Jet Velocity

LaTeX Go Power Required = 1/2*Mass Flow Rate*Exit Velocity^2

Thrust given Exhaust Velocity and Mass Flow Rate

LaTeX Go Thrust = Mass Flow Rate*Exit Velocity

Thrust given Mass and Acceleration of Rocket

LaTeX Go Thrust = Mass of Rocket*Acceleration

Acceleration of Rocket

LaTeX Go Acceleration = Thrust/Mass of Rocket

Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration Formula

LaTeX Go

Power Required = (Mass of Rocket*Acceleration*Effective Exhaust Velocity of Rocket)/2
P = (m*a*V_eff)/2

Power required for a specific exhaust velocity

The power required for a propulsion system to attain a specific exhaust velocity is an important factor to determine a rocket's performance in its operational time. It also plays an important role to determine the peak velocity and thrust that can be obtained from a particular type of rocket propulsion system.

What is exhaust jet velocity?

The velocity at which exhaust gases leave the rocket's engine's nozzle relative to the rocket is called exhaust jet velocity.

How to Calculate Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration?

Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration calculator uses Power Required = (Mass of Rocket*Acceleration*Effective Exhaust Velocity of Rocket)/2 to calculate the Power Required, The Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration can be computed if we know the instantaneous mass of the rocket and its acceleration for a given exhaust velocity. Power Required is denoted by P symbol.

How to calculate Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration using this online calculator? To use this online calculator for Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration, enter Mass of Rocket (m), Acceleration (a) & Effective Exhaust Velocity of Rocket (V_eff) and hit the calculate button. Here is how the Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration calculation can be explained with given input values -> 0.725079 = (420.5*13.85*248)/2.

FAQ

What is Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration?

The Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration can be computed if we know the instantaneous mass of the rocket and its acceleration for a given exhaust velocity and is represented as P = (m*a*V_eff)/2 or Power Required = (Mass of Rocket*Acceleration*Effective Exhaust Velocity of Rocket)/2. The Mass of Rocket is its stated mass at any given point in time while the rocket is in motion, Acceleration is the rate of change of velocity with respect to time & Effective Exhaust Velocity of Rocket is a parameter used in rocketry to represent the average velocity of the exhaust gases expelled from a rocket engine.

How to calculate Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration?

The Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration can be computed if we know the instantaneous mass of the rocket and its acceleration for a given exhaust velocity is calculated using Power Required = (Mass of Rocket*Acceleration*Effective Exhaust Velocity of Rocket)/2. To calculate Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration, you need Mass of Rocket (m), Acceleration (a) & Effective Exhaust Velocity of Rocket (V_eff). With our tool, you need to enter the respective value for Mass of Rocket, Acceleration & Effective Exhaust Velocity of Rocket and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Power Required?

In this formula, Power Required uses Mass of Rocket, Acceleration & Effective Exhaust Velocity of Rocket. We can use 1 other way(s) to calculate the same, which is/are as follows -

Power Required = 1/2*Mass Flow Rate*Exit Velocity^2

Home

FREE PDFs

🔍 Search