Question

A wheel is being held in the air and rotates about a fixed axle. At time...

A wheel is being held in the air and rotates about a fixed axle. At time t = 0 the wheel is spinning with an angular velocity ?i= 327 rad/sec in the counter-clockwise direction. The position of a spot on the wheel is at an angle ?i=0 at the time t = 0.

At t = 0 a constant clockwise torque is applied to the wheel such that there is a constant clockwise angular acceleration ?=? 3.50 rad/s2.

How long will it take for the wheel to turn back to where the spot on the wheel is at ?f=0?

Give your answer in Seconds to at least three digits to avoid being counted incorrect due to rounding.

NOTE: The angle in this problem is not limited to the values 0???2?. The angle can be larger than 2?, indicating that the wheel has gone around more than one revolution. For example, if the wheel turns through three revolutions, ?=6?. Thus ?f=0 implies that wheel may have turned several revolutions counter-clockwise and then rotated BACK the same number of revolutions clockwise.

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