The elongation produced on a steel wire and given stress is 0.01mm wha

1.	The elongation produced on a steel wire and given stress is 0.01mm what will be the elongation if the radius of wire is half by the same condition?
Answer» y = Fx/AΔx, y = Fx/πr²(0.01) ...(1) y' \(=\frac{Fx}{\pi(\frac r2)^2\;\Delta x}\) y' \(=\frac{Fx\times4}{\pi r^2(\Delta x)}\) ...(2) y' = y 4/Δx = 1/0.01 Δx = 0.04 mm

The elongation produced on a steel wire and given stress is 0.01mm what will be the elongation if the radius of wire is half by the same condition?

Answer»

y = Fx/AΔx,

y = Fx/πr²(0.01) ...(1)

y' \(=\frac{Fx}{\pi(\frac r2)^2\;\Delta x}\)

y' \(=\frac{Fx\times4}{\pi r^2(\Delta x)}\) ...(2)

y' = y

4/Δx = 1/0.01

Δx = 0.04 mm

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The elongation produced on a steel wire and given stress is 0.01mm what will be the elongation if the radius of wire is half by the same condition?

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