A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.300 rev/s. What is its angular velocity (in rev/s) after a 19.0 kg child gets onto it by grabbing its outer edge? The child is initially at rest.

A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular acceleration.After 18 s, the wheels have made 76 rev. What is the angular velocity of the wheels after 18 s in rad/s ? What is the angular acceleration of the wheels in rad/s2 ?If the radius of the wheel is 32 cm, and the wheel rolls without slipping, how far has the cyclist (in m) traveled in 18 s?

A person sits in a chair that is free to rotate without friction. Intheir hands, they hold two masses: Mass m1 = 5.0 kg a distance r1 = 0.35m  from their body and mass m2 = 3.0 kg a distance r2 = 0.75 m from their body. a. At what distance r1 should the person hold mass m1 if they want to change their rotation speed from w1 = 8.0 rad/s to wf = 5.0 rad/s? b. What is the new moment of inertia about the vertical axis when m1 is held at this new distance?

A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. v= 35.5 m/s d=0.29 m If the velocity of the ball in the pitcher's hand is 35.5m/s and the ball is 0.29 m from the elbow joint, what is the angular velocity (rad/s) of the foerarm?