A turntable that spins at a constant 71.0 r p m takes 3.30 s to reach this angul

Question

A turntable that spins at a constant 71.0rpm takes 3.30s to reach this angular speed after it is turned on. Find its angular acceleration (in rad/s2), assuming it to be constant, and the number of degrees it turns through while speeding up. A turntable that spins at a constant 71.0rpm takes 3.30s to reach this angular speed after it is turned on. Find its angular acceleration (in rad/s2), assuming it to be constant, and the number of degrees it turns through while speeding up. A turntable that spins at a constant 71.0rpm takes 3.30s to reach this angular speed after it is turned on. Find its angular acceleration (in rad/s2), assuming it to be constant, and the number of degrees it turns through while speeding up. A turntable that spins at a constant 71.0rpm takes 3.30s to reach this angular speed after it is turned on. Find its angular acceleration (in rad/s2), assuming it to be constant, and the number of degrees it turns through while speeding up. A turntable that spins at a constant 71.0rpm takes 3.30s to reach this angular speed after it is turned on. Find its angular acceleration (in rad/s2), assuming it to be constant, and the number of degrees it turns through while speeding up. A turntable that spins at a constant 71.0rpm takes 3.30s to reach this angular speed after it is turned on. Find its angular acceleration (in rad/s2), assuming it to be constant, and the number of degrees it turns through while speeding up.

Explanation / Answer

number of rotations n = 71 rpm = (71/60) rps = 1.183333333333333 rps

time t = 3.3 s

Initial angular speed ?1 = 0

Final angular speed ?2 = 2?n = 7.431752 rad/s

(A)

Angular acceleration ? = (?2 - ?1)/t

=7.43/3.3

= 2.252046060606061 rad/s^2

(B)

Angular displacement ? = (1/2)? t^2

= 12.2623908 rad = 3.903278648383937?

The number of degrees it turns through while speeding up = 3.903278648383937? X (180/?)

= 702.5901567091087degrees

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