A solid cylinder of radius 0.35 m is released from rest from a height of 1.8 m and rolls down the incline as shown. What is the angular speed, in rad/s, of the cylinder when it reaches the horizontal surface?

A 0.82kg hollow sphere with a radius of 0.24m, rolls down a 3.28m high ramp without slipping. If has an angular velocity of 0.37rad/s, what is its linear velocity when it reaches the bottom of the ramp?

Suppose you're an field engineer inspecting an offshore wind turbine. You're in a boat approaching a the particular turbine you'll be inspecting. Your boat's velocity is a constant 8 knots on a course perpendicular to the turbine's axis of rotation. The turbine blades are 10 m in length and turning with a constant angular velocity of 20 rad/s. What additional information would you need in order to calculate the velocity of a point on the turbine blade tip relative to you? nothing, you have all the information you need turbine angular acceleration position of the blade tip relative to the turbine's rotation center at the time of measurement

A car tire (hoop) has a mass of 35 kg and a radius of 0.43 m. The tire is released from rest at the top of a hill and it rolls without slipping to the bottom. “Rolls without slipping” means that the linear velocity of the center of mass is equal to the tangential velocity at the edge of the tire. Once the tire reaches the bottom of the hill it will have dropped by 10 m in vertical height. The final angular velocity ?ω of the tire at the bottom of the hill is Answer ????rads.