A wheel of mass M and radius of gyration k (see Exercise 20) spins on a fixed horizontal axle passing through its hub. Assume that the hub rubs the axle of radius a at only the top- most point, the coefficient of kinetic friction being The wheel is given an initial angular velocity Assume uniform deceleration and find (a) the elapsed time and (b) the number of revolutions before the wheel comes to a stop

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Aditi Chauhan · Answer

The time taken by the wheel to stop is:

Here ω₀ is the initial angular velocity of the wheel.

It is important to note that the angle θ is in radians and not in revolution. Therefore one can convert the angle to revolutions by dividing θ by 2π as:

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