# Angular Impulse Calculator, Formula, Angular Impulse Calculation

## Angular Impulse Calculator:

Enter the values of torque, t(N-m) and change in time, dt(s) to determine the value of Angular impulse, Ja(N-m-s).

 Enter Torque: N-m Enter Change in Time: S Result – Angular Impulse: N-m-s

## Angular Impulse Formula:

Angular impulse signifies the change in angular momentum of an object when a torque is applied over a specific period. It is a vector quantity, measured in newton-meter-seconds (N-m-s), and represents the overall effect of a torque acting over time on an object.

Angular impulse can be calculated as the product of the average torque applied and the time duration over which the torque is applied.

Angular impulse – represents the change in rotational state of an object. Torque – the twisting force that causes the object to rotate. A larger torque applied for a longer duration results in a greater angular impulse.

Small change in time (considered infinitesimal) – signifies the duration for which the torque is applied.

A torque is applied to an object for a short duration. This torque causes the object to experience an angular impulse, which changes its rotational speed or direction.

The magnitude of the angular impulse depends on both the strength of the applied torque and the duration of its application.

Angular impulse, Ja(N-m-s) Newton metres square is calculated by torque, t(N-m) in Newton metres and change in time, dt(s) in seconds.

Angular impulse, Ja(N-m-s) = t(N-m) * dt(s)

Ja(N-m-s) = angular impulse in Newton metres second, N-m-s.

t(N-m) = torque in Newton metres, N-m.

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

### Angular Impulse Calculation:

1. Finding Angular Impulse (Ja) using Torque and Time Interval:

Given: t(N-m) = 15N-m, dt(s) = 4s.

Angular impulse, Ja(N-m-s) = t(N-m) * dt(s)

Ja(N-m-s) = 15 * 4

Ja(N-m-s) = 60N.

1. Finding Time Interval using Angular Impulse and Torque:

Given: t(N-m) = 20N-m, Ja(N-m-s) = 80N.

Angular impulse, Ja(N-m-s) = t(N-m) * dt(s)

dt(s) = Ja(N-m-s) / t(N-m)

dt(s) = 80 / 20