three solid, uniform, cylindrical flywheels, each of mass 65.0 kg and radius 1.47 m rotate independently around a common axis. two of the flywheels rotate in one direction at the other rotates in the opposite direction at 3.42 rad/s. calculate the magnitude of the net angular momentum of the system.

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21-10-2022
Physics

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three solid, uniform, cylindrical flywheels, each of mass 65.0 kg and radius 1.47 m rotate independently around a common axis. two of the flywheels rotate in one direction at the other rotates in the opposite direction at 3.42 rad/s. calculate the magnitude of the net angular momentum of the system.

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fawadmohd fawadmohd · Answer 1 · 2022-10-25T02:40:25-04:00

Three solid, uniform, cylindrical flywheels, each of mass 65.0 kg and radius 1.47 m rotate .The magnitude of the net Angular momentum of the system is 297.77 ~ 298 kg m^2 / s

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 = Moment of Inertia * Angular Velocity.

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

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