2. A Lazy Susan (M=0.5 kg) in the shape of a disk is free to rotate about its center without friction. It is initially motionless when a Texas-sized cockroach (m=10 g) starts running CCW along the rim. The angular speed of the Lazy Susan is then 1 rad/sec. With what speed is the cockroach running (in the rest frame of the table, not the Lazy Susan)?

During a trampoline routine, a gymnast is tumbling in the air at 21 rad/s in a tuck position. He then extends into a layout position and doubles his radius of gyration just before landing on the trampoline bed.   How fast is his angular velocity in rad/s at this instant, just before landing on the trampoline bed?

A wheel (of radius 0.5 meters) spins with an angular velocity of 2 radians per second (rad/s). If this wheel were rolling on the ground without sliding, how fast would the wheel be traveling? O 1 m/s O 0.5 m/s It's not this one. O 2 m/s

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How do I find the tangential speed of a ball going in uniform circular motion, in the problem I'm working on, a 1.3 m long string makes a 48.8 degree angle below the hoizontal. I am confused as to how I find the w to plug into the Vt=rw equation to get the tangential speed. Thanks for your help!

Mary and her younger brother Alex decide to ride the carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 2.0 m from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 1.3 m from the center. The carousel takes 5.6 s to make each complete revolution. (a) What is Mary's angular speed ?M and tangential speed vM? (b) What is Alex's angular speed ?A and tangential speed vA?