Rotational Kinetic Energy: Work and Energy Revisited (Problem 26)

While punting a football, a kicker rotates her leg about the hip joint. The moment of inertia of the leg is $\text{3.75 kg}\cdot {\text{m}}^2$ and its rotational kinetic energy is 175 J. (a) What is the angular velocity of the leg? (b) What is the velocity of tip of the punter’s shoe if it is 1.05 m from the hip joint? (c) Explain how the football can be given a velocity greater than the tip of the shoe (necessary for a decent kick distance). Select the answer to part (a).