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A centrifuge is rotating at 4700 RPM in a clockwise direction when the power is turned...

A centrifuge is rotating at 4700 RPM in a clockwise direction when the power is turned off. It slows to a stop in 63 seconds. In a coordinate system where the rotation is occurring in the x, y plane and the z-axis points up away from the table,

a) What angular acceleration does the centrifuge experience while slowing down? (Assume constant acceleration and pay attention to the sign.) [  ,  ,  ] rad/s2

b) How many rotations does it complete during that time?

c) How many rotations has it completed 31.5 seconds after it began slowing down?

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