A power drill starts from rest and undergoes uniform angular acceleration for a period of 0.135 5 until it turns at a rate of 2.50 x 10'1 rev/min. (a) What is the drill's angular acceleration (in rad/52)? (Enter the magnitude.) 0.135 x How is angular acceleration related to the change in angular velocity and time interval? Be sure to convert angular speed to rad/s, and time to seconds. rad/s2 (b) What is the angle (in radians) through which the drill rotates during this period? (Enter the magnitude.) 1.04 x How are the angular acceleration, initial velocity, and time related to the angular displacement, given constant angular acceleration? Alternatively, how are the initial and nal angular speeds related to average angular speed, and how can you use the average angular speed to find the angular displacement? rad A centrifuge in a forensic investigation laboratory rotates at an angular speed of 3,500 rev/min, clockwise (when viewed from above). When switched off, it rotates through 54.0 revolutions before coming to rest. Assuming it is constant, what is the magnitude of angular acceleration (in rad/s2)? rad/s2 What is the direction of the angular acceleration (again, when viewed from above)? clockwise counterclockwise The magnitude is zero. The gure below shows an object initially at point A traveling in the +x-direction. It turns in a circular path at constant speed until it is traveling in the +y-direction at point C. The quarter-circle arc from A to C is 230 min length, and the particle moves from A to C in 39.0 s. Point B on the path is 35.0 below the x-axis. (D (a) What is the speed of the object (in m/s)? m/s (b) What is the magnitude and direction of the acceleration when the object is at point B? (Enter the magnitude in m/s2 and the direction in degrees counterclockwise from the +x-axis.) magnitude m/s2 direction counterclockwise from the +x-axis