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. The Young's modulus of steel is 20 x 10^10 Pa. What minimum diameter is required for the wire?
Added by Jacob B.
Step 1
It is defined as the ratio of stress (σ) to strain (ε), or Y = σ/ε. In this case, we know the maximum allowable strain (ε) is the change in length (ΔL) divided by the original length (L), or ε = ΔL/L. We can rearrange this to find ΔL = εL. We're given that ΔL = Show more…
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