Angular Momentum Example | Moment of Inertia Example

Angular momentum (L) is the measure of an amount of rotation of an object. The tendency of a body to withstand the angular acceleration is expressed in terms of the moment of inertia (I). The below given is the angular momentum example to calculate the angular momentum and moment of inertia. This moment of inertia example provides you the individual formulas for the calculation of L and I. Make use of this angular momentum sample problem to understand the calculation.

Angular Momentum Sample Problem

Example :

Let us consider the problem: Calculate the angular momentum of the rod of radius 10 m and mass of 20 kg rotating with angular speed of 40 ms-1.

Solution:

We can calculate the Moment of Inertia and Angular Momentum using the given formula.

Formula:

Moment of Inertia = Mass x Radius2 / 2 Angular Momentum = Moment of Inertia x Angular Speed

Substituting the values in the formula,

Moment of Inertia = 20 x 102 / 2 = 1000 kgm² Angular Momentum = 1000 x 40 = 40000 kgm2s-1

Therefore, the value of Moment of Inertia is 1000 kgm² and the value of Angular Momentum is 40000 kgm2s-1


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