A disk is initially motionless. It then begins to spin with a unknown constant angular acceleration for 8.00 seconds, after which its period is 0.855 seconds. How many rotations did it make in those 8.00 seconds?

A 40.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.50 s, find the angular speed of the wheel. rad/s (b) At t = 2.50 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity    =  m/s tangential acceleration  =     m/s2 (c) At t = 2.50 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axis

A platform is rotating with an angular speed of 3.00 rad/s and an angular acceleration of 11.0 rad/s². At a point on the platform that is 1.26 m from the axis of rotation, what is the magnitude of the total acceleration a?

Human centrifuges are used to train military pilots and astronauts in preparation for high-g maneuvers. A trained, fit person wearing a g- suit can withstand accelerations up to about 9g (88.2 m/s2) without losing consciousness. HINT (a) If a human centrifuge has a radius of 5.17 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g? X rad/s (b) What linear speed (in m/s) would a person in the centrifuge have at this acceleration? m/s