1. (a) What is the magnitude of the tangential acceleration of a bug on the rim of an11.5-in.-diameterdisk if the disk accelerates uniformly from rest to an angular speed of75.0rev/minin4.80s? (b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration? m/s² (d) One second after the bug starts from rest, what is the magnitude of its centripetal acceleration? m/s² (e) One second after the bug starts from rest, what is its total acceleration? (Take the positive direction to be in the direction of motion.)

2. A44.0-cm diameter disk rotates with a constant angular acceleration of2.90rad/s². It starts from rest att= 0, and a line drawn from the center of the disk to a pointPon the rim of the disk makes an angle of 57.3with the positivex-axis at this time.

(a) Att=2.32s, find the angular speed of the wheel. rad/s (b) Att=2.32s, find the magnitude of the linear velocity and tangential acceleration ofP.

(c) Att=2.32s, find the position ofP(in degrees, with respect to the positivex-axis). counterclockwise from the +x-axis

3. It has been suggested that rotating cylinders about 14.5 mi long and 5.34 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth?