Total Impulse Calculator

✖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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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: 5825 Newton --> 5825 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(5825,x,20,30)

Evaluating ... ...

T_t = 58250

STEP 3: Convert Result to Output's Unit

58250 Second --> No Conversion Required

FINAL ANSWER

58250 Second <-- Total impulse

(Calculation completed in 00.004 seconds)

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Created by LOKESH

Sri Ramakrishna Engineering College (SREC), COIMBATORE

LOKESH has created this Calculator and 25+ more calculators!

Verified by Harsh Raj

Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< 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

Total Impulse Formula

LaTeX Go

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 -> 58250 = int(5825,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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