Torque and Rotational Motion
A disc of radius 0.1 m starts from rest and accelerates with a constant angular acceleration. A point on the edge of the disc travels a linear distance of 0.5 m in 5 s. What is the angular acceleration of the disc?
A wheel with a radius of 0.3 m is rolling without slipping along a horizontal surface. If the center of mass of the wheel has a linear speed of 6 m/s, what is the angular speed of the wheel?
A wheel with a radius of 0.5 m is rotating at a constant angular speed of 4 rad/s. What is the linear speed of a point on the edge of the wheel?
A rotating platform has a radius of 2 meters. If a point on the edge of the platform travels a linear distance of 6 meters, what is the angular displacement of the platform?
A rigid object is rotating with an angular velocity of 5 rad/s. Point A is located 0.2 m from the axis of rotation, and Point B is located 0.4 m from the axis of rotation. What is the ratio of the linear speed of Point B to the linear speed of Point A?
A wheel with a radius of 0.5 m rolls without slipping down an incline. The wheel starts from rest and reaches a linear speed of 4 m/s after traveling a distance of 8 m along the incline. What is the angular acceleration of the wheel?
A point on the edge of a rotating disk travels 180 degrees. If the radius of the disk is 0.2 m, what is the linear distance traveled by the point?
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A motor spins at a rate of 1200 rpm (revolutions per minute). If the radius of the motor's shaft is 0.05 m, what is the linear speed of a point on the surface of the shaft?
Two points, A and B, are located on a rigid rotating object. Point A is closer to the axis of rotation than Point B. Which of the following statements is true about their angular velocities?
A rotating object starts from rest and has a constant angular acceleration of 2 \text{ rad/s}^2. What is the angular speed of the object after it has rotated through an angle of 4\pi radians?