The tensile strength S_ ut of spring wire of diameter d is estimated by the power law S_ ut = A/d^m. For music wire, the exponent m approx 0.163. This means:

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Mechanical Engineering QUESTION #2473

Question 1

The tensile strength \(S_{ut}\) of spring wire of diameter \(d\) is estimated by the power law \(S_{ut} = A/d^m\). For music wire, the exponent \(m \approx 0.163\). This means:

Strength is independent of wire diameter
Strength INCREASES as wire diameter DECREASES (smaller wire is stronger)✔️
Strength increases as wire diameter increases
Strength is linearly proportional to wire diameter

Correct Answer Explanation

Since \(S_{ut}=A/d^m\) with \(m>0\), smaller diameter wire has higher tensile strength due to more cold-drawing and work-hardening effect.

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