# Total Impulse Calculator, Formula, Total Impulse Calculation

## Total Impulse Formula:

Enter the values of thrust, F(N) and change in time, dt(s) to determine the values of Total impulse, It(N-s).

 Enter Thrust: N Enter Change in Time: s Result – Total Impulse: N-s

## Total Impulse Calculator:

Total impulse signifies the cumulative effect of all forces acting on an object over a specific period. It is a vector quantity, typically measured in newton-seconds and represents the change in momentum of an object due to the combined effects of multiple forces.

A stronger force (higher magnitude) applied for a given time interval will result in a greater total impulse compared to a weaker force.

A longer duration of force application (larger sum of dt) contributes to a higher total impulse.

A force (Ft) acts on an object for a short time interval (dt). This force causes a change in the object’s momentum (mass times velocity).

We repeat steps 1 and 2 by considering multiple small-time intervals (summation) to capture the total effect of the force throughout the interaction.

By summing the product of force and each time interval (Σ Ft * dt), we calculate the total impulse (Itotal) experienced by the object.

Total impulse is calculated by summing the products of each force and the time interval over which it acts.

Total impulse, It(N-s) is calculated by multiplying the sum of thrust, F(N) in Newtons by the change in time, dt(s) in seconds.

Total impulse, It(N-s) = F(N) * dt(s)

It(N-s) = total impulse in Newton seconds, N-s.

F(N) = thrust in Newton, N.

dt(s) = change in time in seconds, s.

### Total Impulse Calculation:

1. Finding Total Impulse (Itotal) Using Multiple Forces and Time Intervals:

Given: F1(N) = 10N, dt1(s) =2s.

F1(N) = 15N, dt1(s) = 3s.

Total impulse, It(N-s) = F(N) * dt(s)

It(N-s) = (10 * 2) + (15 * 3)

It(N-s) = 20 + 45

It(N-s) = 65N.

1. Finding Time Interval (Δt) Using Total Impulse and Force:

Given: F(N) =25N, It(N-s) = 100N.

Total impulse, It(N-s) = F(N) * dt(s)