**33. ssm A child, hunting for his favorite wooden horse, is running on the ground around the edge of a stationary merry-go-round. The angular speed of the child has a constant value of 0.250 rad/s. At the instant the child spots the horse, one-quarter of a turn away, the merry-go-round begins to move (in the direction the child is running) with a constant an- gular acceleration of 0.0100 rad/s². What is the shortest time it takes for the child to catch up with the horse?

While placing a compact disc into a CD player, you notice a small chip on its edge. You attempt to play the CD anyway by placing the CD into the player's deck with the chip at 0o = 12.6° as measured from the +x-axis. The CD begins to rotate with angular acceleration a = 2.31 rad/s². If the CD has been spinning for t = 3.51 s and the disc has a radius of r = 6.00 cm, what are the x-y coordinates of the chip after this time, assuming the center of the disc is located at (0.00,0.00). X = y = cm cm

A car is on a race track of radius 1200 feet. The car begins moving at 118 ft/s, but accelerates at 12.2 ft/s2 up to its top speed, traveling 2510 feet to do so. What is the angular displacement, angular acceleration and initial angular speed of the car about the track?

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.200 rev/s. The magnitude of the angular acceleration is 0.881 rev/s². Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.800 m. Part E Calculate the magnitude ar of the radial (or centripetal) acceleration of the point at the end of the fan blade. ▾ View Available Hint(s) Hint 1. Definition of radial acceleration Radial acceleration ar for an object moving with tangential velocity vt in a circular path of radius r is given by Ap = v²/ pº V ΑΣΦ ar = 0.96 *** Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Review | Constan ? m/s²