An automobile traveling 53.0 km/h has tires of 71.0 cm diameter. (a) What is the angular speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 36.0 complete turns of the tires, what is the magnitude of the angular acceleration of the wheels? (c) How far does the car move during the braking? (Note: automobile moves without sliding) (a) Number i Units (b) Number i Units (c) Number i Units

While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the leg is 3.34 kg · m2 and its rotational kinetic energy is 157 J. (Enter the magnitudes.) What is the angular velocity of the leg (in rad/s)? What is the velocity (in m/s) of the tip of the punter's shoe if it is 1.05 m from the hip joint?

A car is traveling at 20.0 m/s on tires with a diameter of 70.0 cm. The car slows down to a rest after traveling 300.0 m. If the tires rolled without slipping, what was the magnitude of the average angular acceleration of the tires during the time the car slowed to a rest?

Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s2. The bicycle wheels are 32.0 cm in radius. (a)What is the magnitude of the bicycle's linear acceleration (in m/s2)?   (b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 10.4 m/s?   (c) How many radians have the wheels turned through in that time?   (d) How far (in m) has the bicycle traveled in that time?