1. A softball pitcher swings the ball with an angular velocity of 10.5 rad/s. If the pitcher's arm is 0.65 m long, what is the tangential velocity of the ball just before the pitcher releases it?

20. A disk with radius 50.0 [m] rotates at a rate of 1.50 [rad/s]. What is the tangential speed at the edge of the disk? A. 0.03 [m/s] C. 33.3 [m/s] B. 8.66 [m/s] D. 75.0 [m/s]

6. A uniform disk turns at 3.3 rev/s around a frictionless central axis. A nonrotating rod is dropped onto the disk. The rod has the same mass as the disk and length equal to the diameter of the disk. The two objects then turn together at the same rate with the centers lined up vertically. What is the new angular velocity (in rad/s) and new angular frequency (in rev/s)?

5. A wheel is rotating with an angular speed of w(t) = t² + 2 (rad/s). What is the tangential acceleration of a point 1.0 m from the axis of rotation at time t = 1.0 s?

7. A ferris wheel of radius 25 feet is rotating counter-clockwise with an angular velocity of 1.5 radians per second. How fast is a seat on the rim moving horizontally when t-n/3?

A fan blade is rotating with a constant angular acceleration of +11.2 rad/s2. At what point on the blade, as measured from the axis of rotation, does the magnitude of the tangential acceleration equal that of the acceleration due to gravity? i

(a) What is the magnitude of the tangential acceleration of a bug on the rim of a 12.5-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 77.0 rev/min in 3.30 s? m/s² (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.) magnitude m/s² direction ° from the radially inward direction

2. A safety device brings the blade of a power mower from an initial angular speed of wi to rest in 1.00 revolution. At the same constant acceleration, how many revolutions would it take the blade to come to rest from an initial angular speed that was three times as great, V3 = 3v1?

4. A skater has a moment of inertia of 105.0 kg.m² when his arms are outstretched and a moment of inertia of 64.0 kg.m² when his arms are tucked in close to his chest. If he starts to spin at an angular speed of 80.0 rpm (revolutions per minute) with his arms outstretched, what will his angular speed be when they are tucked in? rpm

2. A wheel of radius 20 cm is initially rotating at 12 rpm. It then speeds up at a constant rate, reaching a speed of 35 rpm after 3.1 seconds. a) What is the angular acceleration of the disk? b) How much does it rotate (in radians) while it is accelerating from 12 to 35 rpm?" c) What is total acceleration (in m/s?) of a point on the edge of the disk at the moment it has just started accelerating?|