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A restaurant manager has decorated his retro diner by hanging (scratched) vinyl LP records from thin wires. The records have a mass of 179 g, a diameter of 12 in., and negligible thickness. The records oscillate as torsion pendulums.

(a) Records hung from a small hole near their rims have a period of roughly 3.8 s (figure A). What is the torsion spring constant of the wire?

(b) If a record is hung from its center hole using a wire of the same torsion spring constant (figure B), what is its period of oscillation?

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