10.41-Angular Momentum and Its Conservation Part A Calculate the angular momentu

Question

10.41-Angular Momentum and Its Conservation Part A Calculate the angular momentum of an ice skater spinning at 5.90 rev/s given his moment of inertia is 0.336 kg-m2. Submit Answer Tries o/s Part 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 if his angular velocity decreases to 1.17 rev/s. Submit Answer Tries 0/5 Part C Suppose instead he keeps his arms in and allows friction of the ice to slow him to 2.70 rev/s. What average torque was exerted if this takes 12.0 s? Submit Answer Tries 0/5

Explanation / Answer

a)

W= 5.90 *2pi = 37.07 rad/s

L= IW = 0.336*37.07

L= 12.46 Kg-m^2/s

b)

W= 1.17*2pi = 7.35 rad/s

I= L/W = 12.46/7.35

I= 1.69 kg-m^2

c)

Wf = 2.70*2pi= 16.96 rad/s

a=alpha

a= (Wf-W)/t =(16.96 - 37.07)/12

a= -1.68 rad/s^2

T=I*a= 0.336*(-1.68)

T= -0.563 N-m

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