Question

What is the Moment of inertia, I, of a 30cm radius spinning wheel of mass 0.5kg?

Answer 1

Given: Mass of the wheel, m = 0.5kg

Radius of the wheel, r = 30cm = 0.3m

Find: Here we have to find the moment of inertia

Solution: We know the expression of the moment of Inertia in terms of the mass and the radius.

The moment of inertia is the product of the mass and the square of the radius.

In expression,

$I = MR^{2}$

So, we put the value of mass and the radius

$I = 0.5\times (0.3)^{2} \\\\I = 5\times0.09\\\\I = 0.45kg.m^{2}$

So, the moment of inertia is  $0.45kg.m^{2}$