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 flywheel of a motor weighs 640 lbs and has a radius of gyration of 4 ft. The motor develops a constant torque of 1280 lb-ft, and the flywheel starts at rest. What is the angular acceleration of the flywheel? And what will be the angular velocity after making 4 revolutions? The correct answers are angular acceleration is 4, and angular velocity is 14.2 rad/s

A propeller is modeled as five identical uniform rods extending radially from its axis. The length and mass of each rod are 0.867 m0.867 m and 2.51 kg2.51 kg, respectively. When the propellor rotates at 529 rpm529 rpm (revolutions per minute), what is its rotational kinetic energy ??

A bicycle tire is spinning counterclockwise at 4.00 rad/s. During a time period Δt = 2.10 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 4.00 rad/s. Calculate the change in the tire's angular velocity Δ? and the tire's average angular acceleration ?av. (Indicate the direction with the signs of your answers.)   (a)  the change in the tire's angular velocity Δ? (in rad/s)  _______rad/s (b) the tire's average angular acceleration ?av (in rad/s2) _________rad/s2