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A record player, or phonograph, is a device used to spin a vinyl disc upon which...

A record player, or phonograph, is a device used to spin a vinyl disc upon which sound waveforms are imprinted, and in this way, play music. Starting from rest, a particular record player achieves the constant angular speed at which music is played in 4.50 s with a constant angular acceleration of0.7757 rad/s2. The album Led Zeppelin IV is 42 minutes and 34 seconds in duration. After the entire album is played, the record player requires 8.00 s to come to rest with constant angular acceleration.

a) What is the angular speed, in revolutions per minute, at which the record is played?

b) Find the total angular displacement, in revolutions, for the complete start-up, playing, and slow-down of the album.

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