A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 400 N is applied to each end of the wire. (a) What minimum diameter is required for the wire? (b) How would your answer change if the wire was made of copper instead?
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Step 1
Given: Length of wire, L = 2.00 m Maximum stretch, ΔL = 0.25 cm = 0.0025 m Tensile force, F = 400 N Using the formula for breaking strength of a wire: Breaking strength = Force / (π * R^2) Substitute the given values: 2600 N = 400 N / (π * R^2) Solve for R: R = Show more…
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