A steel piano wire (Y = 200 GPa) has a diameter of 0.790 mm. At one end it is wrapped around a tuning pin of diameter 8.00 mm. The length of the wire (not including the wire wrapped around the tuning pin) is 66.0 cm. Initially, the tension in the wire is 381 N. To tune the wire, the tension must be increased to 413 N. Through what angle must the tuning pin be turned?
Solution
Answer: Angle turned = 1.543°
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