A0.5 m diameter wagon wheel consists of a thin rim having a mass of 7 kg and six spokes, each with a mass of 1.2 kg. 1.2 kg 7 kg 0.5 m find the moment of inertia of the wagon wheel for rotation about its axis. answer in units of kg · m2 .

Explanation:

It is given that,

Mass of the rim of wheel, m₁ = 7 kg

Mass of one spoke, m₂ = 1.2 kg

Diameter of the wagon, d = 0.5 m

Radius of the wagon, r = 0.25 m

Let I is the the moment of inertia of the wagon wheel for rotation about its axis.

We know that the moment of inertia of the ring is given by :

The moment of inertia of the rod about one end is given by :

l = r

For 6 spokes,

So, the net moment of inertia of the wagon is :

So, the moment of inertia of the wagon wheel for rotation about its axis is . Hence, this is the required solution.