A uniform wire of length 8m and diameter 0.6mm stretched by 4mm under a certain force. If the Poisson's ratio of the material of the wrie is 0.3, calculate the change in diameter of the wire.

Explanation

To solve the problem of finding the change in diameter of a wire when it is stretched, we can follow these steps:

### Step 1: Identify the given values
- Length of the wire, \( L = 8 \, \text{m} \)
- Original diameter of the wire, \( D = 0.6 \, \text{mm} = 0.6 \times 10^{-3} \, \text{m} \)
- Change in length (stretch), \( \Delta L = 4 \, \text{mm} = 4 \times 10^{-3} \, \text{m} \)
- Poisson's ratio, \( \nu = 0.3 \)

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