Exam 8: Rotational Kinematics

A long thin rod of length 2L rotates with a constant angular acceleration of 8.0 rad/s² about an axis that is perpendicular to the rod and passes through its center. -What is the ratio of the tangential speed (at any instant) of a point on the end of the rod to that of a point a distance L/2 from the end of the rod?

A 2.0-kg solid disk rolls without slipping on a horizontal surface so that its center proceeds to the right with speed 5.0 m/s. The point A is the uppermost point on the disk and the point B is along the horizontal line that connects the center of the disk to the rim. -What is the instantaneous speed of point B with respect to the ground?

A bicycle has tires of radius 0.35 meters.If the bicycle is traveling at a constant speed of 7.8 m/s, at approximately what angular speed are the tires rotating?

A 2.0-kg solid disk rolls without slipping on a horizontal surface so that its center proceeds to the right with speed 5.0 m/s. The point A is the uppermost point on the disk and the point B is along the horizontal line that connects the center of the disk to the rim. -What is the instantaneous speed of point A with respect to the ground?

A bicycle travels 141 m along a circular track of radius 30 m.What is the angular displacement in radians of the bicycle from its starting position?

A 2.0-kg solid disk rolls without slipping on a horizontal surface so that its center proceeds to the right with speed 5.0 m/s. The point A is the uppermost point on the disk and the point B is along the horizontal line that connects the center of the disk to the rim. -What is the direction of the disk's angular velocity?

A wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its center.A point on the wheel that is 0.2 m from the center has a tangential speed of 2 m/s. -Determine the angular speed of the wheel.

A wheel with a 0.10-m radius is rotating at 35 rev/s.It then slows uniformly to 15 rev/s over a 3.0-s interval.What is the angular acceleration of a point on the wheel?

What is the tangential speed of a lug nut on a wheel of a car if the lug nut is located 0.114 m from the axis of rotation; and the wheel is rotating at 6.53 rev/sec?

A top is spinning counterclockwise as shown in the figure.It is also moving to the right with a linear speed v.What is the direction of the angular velocity?

On an amusement park ride, passengers are seated in a horizontal circle of radius 7.5 m.The seats begin from rest and are uniformly accelerated for 21 seconds to a maximum rotational speed of 1.4 rad/s. -What is the instantaneous tangential speed of the passengers 15 s after the acceleration begins?

Joe is painting the floor of his basement using a paint roller.The roller has a mass of 2.4 kg and a radius of 3.8 cm.In rolling the roller across the floor, Joe applies a force F = 16 N directed at an angle of 35° as shown.Ignoring the mass of the roller handle, what is the magnitude of the angular acceleration of the roller?

8-6 A bicycle wheel of radius 0.70 m is rolling without slipping on a horizontal surface with an angular speed of 2.0 rev/s when the cyclist begins to uniformly apply the brakes.The bicycle stops in 5.0 s. -Through how many revolutions did the wheel rotate during the 5.0 seconds of braking?

A ball attached to a string starts at rest and undergoes a constant angular acceleration as it travels in a horizontal circle of radius 0.30 m.After 0.65 sec, the angular speed of the ball is 9.7 rad/s.What is the tangential acceleration of the ball?

A grindstone, initially at rest, is given a constant angular acceleration so that it makes 20.0 rev in the first 8.00 s.What is its angular acceleration?

A satellite follows a circular path with constant speed around a planet.Which one of the following quantities is constant and non-zero for this satellite?

Two points are located on a rigid wheel that is rotating with decreasing angular velocity about a fixed axis.Point A is located on the rim of the wheel and point B is halfway between the rim and the axis.Which one of the following statements concerning this situation is true?

A wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its center.A point on the wheel that is 0.2 m from the center has a tangential speed of 2 m/s. -Determine the tangential speed of a point 0.3 m from the center of the wheel.

A long thin rod of length 2L rotates with a constant angular acceleration of 8.0 rad/s² about an axis that is perpendicular to the rod and passes through its center. -What is the ratio of the tangential acceleration of a point on the end of the rod to that of a point a distance L/2 from the end of the rod?

A wheel, originally rotating at 126 rad/s undergoes a constant angular deceleration of 5.00 rad/s².What is its angular speed after it has turned through an angle of 628 radians?