A wheel is rolling up a hill with a mass, M=13.1kg, a radius R=0.95m, and a moment of intertia I=0.81 MR2. If the wheel reaches a maximum veritcal height of 4.342 m, what is the initial angular velocity of the wheel?

A wheel 1.4 m in diameter rotates with an angular acceleration of 2.0 rad/s. (Enter the magnitudes.) (a) If the wheel's initial angular velocity is 5.0 rad/s, what is its angular velocity (in rad/s) after 10 s? rad/s (b) Through what angle (in rad) does it rotate in the 10 s interval? rad (c) What are the tangential speed (in m/s) and tangential acceleration (in m/s2) of a point on the rim of the wheel at the end of the 10 s interval? tangential speed m/s tangential acceleration m/s2

A dentist's drill starts from rest. After 3.10 s of constant angular acceleration it turns at a rate of 2.70 ✕ 104 rev/min. (a) Find the drill's angular acceleration. (b) Determine the angle (in radians) through which the drill rotates during this period.

A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s.  What was her average angular velocity in radians/second? A   720rad/s  B   19.3rad/s C   4? rad/s D   9.67 rad/s E   1107 rad/s