(a) Calculate the constant angular acceleration of an ice skater if he rotates through 113 radians in 3 seconds. (113 rad/3s = 37.67 rads would give you average rotational velocity, not angular acceleration).
(b) Calculate his angular velocity at 3 seconds.
(c ) What is the tangential acceleration of the ice skater if the radius of his rotation is 20 cm?
(d) What is the linear velocity of the ice skater at 3 seconds?
(e) Calculate his radial or centripetal acceleration at that time.
(f) What is the angular momentum of the ice skater spinning at this time given his moment of inertia is .
(g) He reduces his rate of spin (his angular velocity) by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia if his angular velocity decreases to 2 rev/s. (make sure you are using SI units)
(h) Suppose instead he keeps his arms in and allows friction of the ice to slow him to 5.00 rev/s. What average torque was exerted if this takes 19.0 s?