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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

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

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
7 years ago
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The time taken by the wheel to stop is:
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Here ω0 is the initial angular velocity of the wheel.
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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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