A serious audiophile prefers to listen to music on his vinyl record turntable.The 12-inch diameter disk rotates at a constant 33 rpm.How fast is the record passing by the pickup cartridge tip at a radius of 4 inches? (1 inch = 2.54 cm)

Question

A serious audiophile prefers to listen to music on his vinyl record turntable.The 12-inch diameter disk rotates at a constant 33  rpm.How fast is the record passing by the pickup cartridge tip at a radius of 4 inches? (1 inch = 2.54 cm)

Quizplus · Accepted Answer

First we need to convert the radius from inches to centimeters:

4 inches x (2.54 cm/inch) = 10.16 cm

Next we need to find the linear speed of the record at this radius:

Circumference = 2π(radius)
Circumference = 2π(10.16 cm)
Circumference = 63.75 cm

Linear speed = Circumference x RPM x (1 minute/60 seconds)
Linear speed = 63.75 cm x 33.11 RPM x (1 minute/60 seconds)
Linear speed = 35 cm/s

Therefore, the answer is choice B.

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