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Revolutions of a bike wheel
A bicycle with 0.3 m radius wheels, is moving such that the
angular speed of each wheel is 75 rad/s. If the bicyclist then applies the brakes and the wheels slow with an angular acceleration of -15 rad/s^2.
How many revolutions will each wheel make before the bike stops?
Customer support service by UserEcho
The kinematics equations for angular motion are exactly analogous to the linear equation. Imagine the question gave you a known velocity and acceleration and asked you to find the stopping distance. You would use the equation V^2=Vo^2+2*a*d and solve for d.
With angular motion, the equation is the same: w^2=wo^2 + 2 (alpha)( theta_f - theta_i)
Solve this for the change in angle. Then remember that a change of 2*pi radians is one revolution
Hope this helps!