Three solid, uniform flywheels, each ofmass 65.0 kg and radius 1.47 m, rotate in

Question

Three solid, uniform flywheels, each ofmass 65.0 kg and radius 1.47 m, rotate independently around a
common axis. Two of the flywheels rotate in one direction at 3.83rad/s; the other rotates in the opposite direction at 3.42 rad/s. Calculate the magnitudeof the net angular momentum of the system. A) 222 kg· m2/s
B) 778 kg· m2/s
C) 257 kg· m2/s
D) 298 kg· m2/s Three solid, uniform flywheels, each ofmass 65.0 kg and radius 1.47 m, rotate independently around a
common axis. Two of the flywheels rotate in one direction at 3.83rad/s; the other rotates in the opposite direction at 3.42 rad/s. Calculate the magnitudeof the net angular momentum of the system. A) 222 kg· m2/s
B) 778 kg· m2/s
C) 257 kg· m2/s
D) 298 kg· m2/s

Explanation / Answer

I = moment of inertia W = angular velocity L = angular momentum I = 1/2 MR^2 I = 1/2 (65)(1.47^2) I = 70.23 L = IW Two of the fly wheels rotate in the same direction L = 2I(W1) - I(W2) L = 2*70.23(3.83) - 70.23(3.42) L = 297.77 ~ 298 kg m^2 / s The answer is D - Cali

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