1) A wheel of radius 1.0m is rotating with a constant angular speed of 2.0 rad/s

Question

1) A wheel of radius 1.0m is rotating with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wheel's rim?

2) A car is negotiating a flat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force(provided by static friction) is 1.5 x 10^4N. What is the mass of the car?

3) A wheel accelerates with a constant angular acceleration of 4.5 rad/s^2. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t=2.0s?

Explanation / Answer

1) centripetal accelaration a = r*w^2 = 1*2^2 = 4 m/s^2

2) F = m*v^2/r = 1.5*10^4

mass m = 1.5*10^4*r/v^2 = 1.5*10^4*50/(20^2) = 1875 kg

3)wf = wi+(alpha*t) = 1+(4.5*2) = 9 rad/s

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