A racing car travels on a circular track of radius 250 m. Assuming the car moves with a constant speed of 45.0 m/s, find (a) its angular speed and (b) the magnitude and direction of its acceleration.

A wheel of a radius 5.02 m rotates at a uniform speed. If a point on the rim of the wheel has a centripetal acceleration of 4.00 m/s2, what is the point’s tangential speed?

Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.29 rad/s at t = 0 and subsequently experiences an angular acceleration a = 1.8t where t is in seconds, and a is in radians per second squared. Determine the velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 2.7 s. Assumer = 145 mm. α Answers: VA = aд = 90 (i ( i 0 6.806 i + i + i i 1 0.705 j) m/s j) m/s²

The period of a stone swung in a horizontal circle on a 2.50-m radius is 1.20 s. (a) What is its angular velocity in rad/s? (b) What is its linear speed in m/s? (c) What is its radial acceleration in m/s2?