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At a time t = 3.10 s, a point on the rim of a wheel with a radius of 0.230 m has a tangential speed

At a time t = 3.10 s, a point on the rim of a wheel with a radius of 0.230 m has a tangential speed of 46.0 m/s as the wheel slows down with a tangential acceleration of constant magnitude 10.6 m/s2

a) Calculate the wheel's constant angular acceleration. Express your answer in radians per second squared.

b) Calculate the angular velocity at t = 3.10 s. Express your answer in radians per second.

c) Calculate the angular velocity at t=0. Express your answer in radians per second.

d) Through what angle did the wheel turn between t=0 and t = 3.10 s? Express your answer in radians.

e) Prior to the wheel coming to rest, at what time will the radial acceleration at a point on the rim equal g = 9.81 m/s2? Express your answer in seconds.

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