The take-up reel of a cassette tape has a radius of 3.93 cm. Find the length of tape that passes around the reel in 5.6 s when the reel rotates at an average angular speed of 1.80 rad/s. Use g=9.8

A bicycle rides past you at a speed of 7.80 m/s. Its wheel has a diameter of 42.9 cm and a moment of inertia of 0.268 kg m2. What is the rotational kinetic energy (in Joules) of the wheel?

Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.540 m and mass M = 100 kg. In operation, the wheel rotates at 45.0 rev/min. While the wheel is spinning, your grandmother works clay at the center of the wheel with her hands into a pot-shaped object with circular symmetry. When the correct shape is reached, she wants to stop the wheel in as short a time interval as possible, so that the shape of the pot is not further distorted by the rotation. She pushes continuously with a wet rag as hard as she can radially inward on the edge of the wheel and the wheel stops in 6.00 s.   You would like to build a brake to stop the wheel in a shorter time interval, but you must determine the coefficient of friction (?k) between the rag and the wheel in order to design a better system. You determine that the maximum pressing force your grandmother can sustain for 6.00 s is 65.0 N. What If? If your grandmother instead chooses to press…

A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The rotational inertia of the lever is 35 kg*m2. Calculate the angular acceleration of the lever.