A 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational inertia of the ball is 0.4mr2. The ball rolls up a 30-degree inclined plane. What is the maximum height that the ball reaches? 0.6 meters 1.3 meters 0.4 meters 0.5 meters

A soccer ball whose radius is 11 cm rolls a distance of 10 m in 3.50 s. What is the angular speed of the ball?

Two bugs, Buzz and Crunchy, are siting on a spinning disk. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 1.6 m and the disk is rotating with an angular speed of 33 rpm. What is Crunchy's speed, in m/s?

An angular velocity of 10 rad/s is how many revolutions per minute (RPM)? Group of answer choices 0.535 RPM 27.2 RMP 213 RPM 6.28 RMP 377 RMP 95.5 RMP

A 20 cm diameter circular saw blade spins at 3900 rpm. How fast would you have to push a straight hand saw to have the teeth move through the wood at the same rate as the circular saw teeth?

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.

Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor turning at a constant angular velocity has a radius of 1.1 x10-8m, and a tangential speed at the rim of 2.4 x10-5 m/s.  How long does it take the motor to make one revolution?

Mary and her younger brother Alex decide to ride the carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 2.0 m from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 1.5 m from the center. The carousel takes 3.0 s to make each complete revolution. (a) What is Mary's angular speed ?M and tangential speed vM? ?M =  rev/s vM =  m/s (b) What is Alex's angular speed ?A and tangential speed vA? ?A =  rev/s vA =  m/s

A 1.3 kg rock is swung in a circular path and in a vertical plane on a 1 m length string. At the top of the path, the angular velocity is 9 rad/s. What is the tension in the string at that point?

A car wheel of radius 20 inches rotates at 8 revolutions per second on the highway. What is the angular speed of the tire? A small ball of mass 0.75 kg is attached to one end of a 1.25 m long massless rod, and the other end of the rod is hung from a pivot. When the resulting pendulum is 30 degrees from the vertical, what is the magnitude of the gravitational torque calculated about the pivot?