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A steel wire in a piano has a length of 0.600 m and a mass of...

A steel wire in a piano has a length of 0.600 m and a mass of 4.200 10−3 kg. To what tension must this wire be stretched so that the fundamental vibration corresponds to middle C (fC = 261.6 Hz on the chromatic musical scale)?

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Answer #1

Concept - find the mass per unit length of the wire using the length and the mass given. Find the speed of wave using the fundamental frequency given and the length of the wire. Use equation for tension to find the value of tension using mass per unit length and speed of wave as shown below

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