A Piano Wire Has a Radius of 0

question 19

Multiple Choice

A piano wire has a radius of 0.500 mm. One end is fixed and the other is wrapped around a tuning peg that has a diameter of 3.00 mm and is 70.0 cm away. After the wire just becomes taut, the peg is given one and a half turns. What is the fundamental frequency of oscillation of the wire? The density of steel is 7860 kg/m³ and Young's modulus for steel is 20 × 10¹⁰ N/m².

• A) 1020 Hz
• B) 512 Hz
• C) 2050 Hz
• D) 342 Hz
• E) 256 Hz

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