Question

Derive the formula y= mgl/pi r ^2l where the symbols have usual meaning

Answer 1

Answer:

Young's modulus for the given wire suspended by weight "mg" is given as

$Y = \frac{mgL}{\pi r^2 \Delta L}$

Explanation:

Young's modulus for a given wire is the ratio of stress and strain

So here we can say that

$Stress = \frac{Force}{Area}$

$Stress = \frac{mg}{\pi r^2}$

now for strain we have

$strain = \frac{\Delta L}{L}$

so we will have

$Y = \frac{\frac{mg}{\pi r^2}}{\frac{\Delta L}{L}}$

so we have

$Y = \frac{mgL}{\pi r^2 \Delta L}$

#Learn

Topic : Young's Modulus

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