A disk is connected to a motor, and is initially spinning counter-clockwise with angular velocity wo. At t = 0, the motor starts to slow the disk downm by applying an angular acceleration with magnitude a,. Immediately after the disk stops, the motor starts to accelerate the disk with an angular acceleration with magnitude a, until t =T when the disk is once again spinning counter-clockwise at wo. If the disk rotates through a total angle A0 during this time, what is T? Express it in terms of a,, a,, and A0.

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Rotational Motion Question

A disk is connected to a motor, and is initially spinning counter-clockwise with angular
velocity wo. At t = 0, the motor starts to slow the disk down by applying an angular
acceleration with magnitude a1. Immediately after the disk stops, the motor starts to
accelerate the disk with an angular acceleration with magnitude a, until t = T when
the disk is once again spinning counter-clockwise at wo. If the disk rotates through a
total angle Að during this time, what is T? Express it in terms of a,, a2, and A8.
Transcribed Image Text:A disk is connected to a motor, and is initially spinning counter-clockwise with angular velocity wo. At t = 0, the motor starts to slow the disk down by applying an angular acceleration with magnitude a1. Immediately after the disk stops, the motor starts to accelerate the disk with an angular acceleration with magnitude a, until t = T when the disk is once again spinning counter-clockwise at wo. If the disk rotates through a total angle Að during this time, what is T? Express it in terms of a,, a2, and A8.
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