Total Impulse Calculator

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Rocket Propulsion

Components of Gas Turbine

Jet Propulsion

Thermodynamics and Governing Equations

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✖Thrust is the force produced by the expulsion of high-speed exhaust gases from a rocket engine.ⓘ Thrust [F]			+10% -10%
✖Initial time is start time when the force applied.ⓘ Initial time [t _i]			+10% -10%
✖Final time is the end time when the force is applied.ⓘ Final time [t_f]			+10% -10%

✖Total impulse is the product of the average thrust and the total time of firing for a rocket.ⓘ Total Impulse [T_t]

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Formula

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Total Impulse

Formula

`"T"_{"t"} = int("F",x,"t "_{"i"},"t"_{"f"})`

Example

`"20s"=int("2N",x,"20s","30s")`

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Total Impulse Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total impulse = int(Thrust,x,Initial time,Final time)
T_t = int(F,x,t _i,t_f)
This formula uses 1 Functions, 4 Variables

Functions Used

int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

Total impulse - (Measured in Second) - Total impulse is the product of the average thrust and the total time of firing for a rocket.
Thrust - (Measured in Newton) - Thrust is the force produced by the expulsion of high-speed exhaust gases from a rocket engine.
Initial time - (Measured in Second) - Initial time is start time when the force applied.
Final time - (Measured in Second) - Final time is the end time when the force is applied.

STEP 1: Convert Input(s) to Base Unit

Thrust: 2 Newton --> 2 Newton No Conversion Required
Initial time: 20 Second --> 20 Second No Conversion Required
Final time: 30 Second --> 30 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_t = int(F,x,t _i,t_f) --> int(2,x,20,30)

Evaluating ... ...

T_t = 20

STEP 3: Convert Result to Output's Unit

20 Second --> No Conversion Required

FINAL ANSWER

20 Second <-- Total impulse

(Calculation completed in 00.004 seconds)

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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]

Total Impulse Formula

Total impulse = int(Thrust,x,Initial time,Final time)
T_t = int(F,x,t _i,t_f)

what is total impulse?

Total impulse measures the amount of momentum imparted to a rocket by the motor. It, along with other factors like rocket mass and air drag, determines how high the motor can go.

How to Calculate Total Impulse?

Total Impulse calculator uses Total impulse = int(Thrust,x,Initial time,Final time) to calculate the Total impulse, Total impulse is a measure of the maximum momentum that a reaction engine and fuel supply can impart. Total impulse is denoted by T_t symbol.

How to calculate Total Impulse using this online calculator? To use this online calculator for Total Impulse, enter Thrust (F), Initial time (t _i) & Final time (t_f) and hit the calculate button. Here is how the Total Impulse calculation can be explained with given input values -> 20 = int(2,x,20,30).

FAQ

What is Total Impulse?

Total impulse is a measure of the maximum momentum that a reaction engine and fuel supply can impart and is represented as T_t = int(F,x,t _i,t_f) or Total impulse = int(Thrust,x,Initial time,Final time). Thrust is the force produced by the expulsion of high-speed exhaust gases from a rocket engine, Initial time is start time when the force applied & Final time is the end time when the force is applied.

How to calculate Total Impulse?

Total impulse is a measure of the maximum momentum that a reaction engine and fuel supply can impart is calculated using Total impulse = int(Thrust,x,Initial time,Final time). To calculate Total Impulse, you need Thrust (F), Initial time (t _i) & Final time (t_f). With our tool, you need to enter the respective value for Thrust, Initial time & Final time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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