A rod AB of length l is pivoted at an end A and freely rotated in a horizontal plane at an angular speed `omega` about a vertical axis passing through A. If coefficient of linear expansion of material of rod is `alpha`, find the percentage change in its angular velocity if temperature of system is incresed by `DeltaT`

Explanation

To solve the problem, we need to analyze the effects of temperature change on the angular velocity of a rotating rod. Here is a step-by-step solution:

### Step 1: Understand the Moment of Inertia
The moment of inertia \( I \) of a rod of length \( l \) pivoted at one end is given by the formula:
\[ I = \frac{1}{3} ml^2 \]
where \( m \) is the mass of the rod.
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