6. A solid cylinder of mass 10.0 kg and diameter 40.0 cm is rotating about an axle through its center. The angle (in radians) through which it turns as a function of time (in second

A point on the rim of a wheel moves with a velocity of 95 feet per second. Find the angular velocity of the point if the diameter of the wheel is 5 feet. 19 rad/sec. 38 rad/sec. 475 rad/sec.

After 14.3 s, a spinning roulette wheel has slowed down to an angular velocity of 2.63 rad/s. During this time, the wheel has an angular acceleration of -4.24 rad/s^2. Determine the angular displacement of the wheel.

A 1702 kg solid sphere with a radius of 2.6 m rolls without slipping down an incline of 0 = 41°. If the sphere makes 6 full revolutions in 8.4 seconds. 1. The rotational inertia of the sphere is kg.m2 2. The frictional force between the incline and the sphere is 3. The angular velocity at point C on the sphere is rad/s 4. The speed of the center of mass of the Sphere is m/s 5. The distance S after 6 full revolutions is m

3. A rod with a mass of 10kg and a total length of 2 meters that can spin about an axis through its center ( I = ML2 ) receives a constant force of 5 N on one of its ends. As the rod spins, the 12 force will maintain the same strength and orientation i.e., angled at 60 degrees with respect to the rod. The rod is initially at rest. Total Length Axis 60 deg F, a. How many radians does the rod sweep through after a period of 10 seconds? b. What is the speed of a point on the end of the rod at that same moment?

2. A spider is holding on to a spoke of the wheel at a distance of 20 cm from the axle of the wheel. As soon as the spider' s speed reaches 1.5 m/s, she lets go of the spoke. How many radians of rotation did the spider go through before she let go?