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

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Rocket Propulsion

Components of Gas Turbine

Jet Propulsion

Thermodynamics and Governing Equations

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✖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]

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Formula

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

Formula

`"P" = ("m"*"a"*"V"_{"eff"})/2`

Example

`"456263.9kW"=("549054kg"*"13.85m/s²"*"120m/s")/2`

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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: 549054 Kilogram --> 549054 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: 120 Meter per Second --> 120 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (m*a*V_eff)/2 --> (549054*13.85*120)/2

Evaluating ... ...

P = 456263874

STEP 3: Convert Result to Output's Unit

456263874 Watt -->456263.874 Kilowatt (Check conversion here)

FINAL ANSWER

456263.874 ≈ 456263.9 Kilowatt <-- Power Required

(Calculation completed in 00.005 seconds)

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

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Rajiv Gandhi Institute of Technology (RGIT), Mumbai

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< 14 Rocket Propulsion Calculators

Mass Flow Rate through Engine

Go Mass Flow Rate = Mach Number*Area*Total Pressure*sqrt(Specific Heat Ratio*Molar Mass/(Total Temperature*[R]))*(1+(Specific Heat Ratio-1)*Mach Number^2/2)^(-(Specific Heat Ratio+1)/(2*Specific Heat Ratio-2))

Exit Velocity given Molar Mass

Go Exit Velocity = sqrt(((2*Chamber Temperature*[R]*Specific Heat Ratio)/(Molar Mass)/(Specific Heat Ratio-1))*(1-(Exit Pressure/Chamber Pressure)^(1-1/Specific Heat Ratio)))

Compressible Area Ratio

Go Area Ratio = ((Specific Heat Ratio+1)/2)^(-(Specific Heat Ratio+1)/(2*Specific Heat Ratio-2))*((1+(Specific Heat Ratio-1)/2*Mach Number^2)^((Specific Heat Ratio+1)/(2*Specific Heat Ratio-2)))/Mach Number

Exit Velocity given Molar Specific Heat Capacity

Go Exit Velocity = sqrt(2*Total Temperature*Molar Specific Heat Capacity at Constant Pressure*(1-(Exit Pressure/Chamber Pressure)^(1-1/Specific Heat Ratio)))

Rocket Exit Pressure

Go Exit Pressure = Chamber Pressure*((1+(Specific Heat Ratio-1)/2*Mach Number^2)^-(Specific Heat Ratio/(Specific Heat Ratio-1)))

Exit Velocity given Mach Number and Exit Temperature

Go Exit Velocity = Mach Number*sqrt(Specific Heat Ratio*[R]/Molar Mass*Exit Temperature)

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

Go Power Required = (Mass of Rocket*Acceleration*Effective Exhaust Velocity of Rocket)/2

Rocket Exit Temperature

Go Exit Temperature = Chamber Temperature*(1+(Specific Heat Ratio-1)/2*Mach Number^2)^-1

Total Impulse

Go Total impulse = int(Thrust,x,Initial time,Final time)

Power required to produce Exhaust Jet Velocity

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

Thrust given Exhaust Velocity and Mass Flow Rate

Go Thrust = Mass Flow Rate*Exit Velocity

Thrust given Mass and Acceleration of Rocket

Go Thrust = Mass of Rocket*Acceleration

Acceleration of Rocket

Go Acceleration = Thrust/Mass of Rocket

Photon Propulsion Thrust

Go Thrust = 1000*Power in Jet/[c]

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

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 -> 413.7671 = (549054*13.85*120)/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

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