(a)Calculate the angular momentum, in kgm²/s, of an ice skater spinning at6.00 rev/sgiven his moment of inertia is0.450kgm². Check units for consistency.kgm²/s

(b)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, inkgm²,if his angular velocity drops to2.05rev/s. How does the absence of any external torque affect the angular momentum of a system?kgm²

(c)Suppose instead he keeps his arms in and allows friction with the ice to slow him to3.00 rev/s.What average torque, inNm,was exerted if this takes18.0seconds?(Indicate the direction with the sign of your answer. Assume that the skater's rotation is in the positive direction.) Nm