A bicycle wheel of radius 0.3 m has a rim of mass 1.0 kg and 50 spokes, each of mass 0.01 kg. What is its moment of inertia about its axis of rotation ?

Explanation

To find the moment of inertia of the bicycle wheel about its axis of rotation, we need to consider both the rim and the spokes. Here’s a step-by-step solution:

### Step 1: Calculate the moment of inertia of the rim
The moment of inertia \( I \) of a ring (or rim) about its central axis is given by the formula:
\[ I_{\text{rim}} = M_{\text{rim}} \cdot R^2 \]
where:
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