A) a rotating flywheel can be used to store energy. if it is required to store 1

Question

A) a rotating flywheel can be used to store energy. if it is required to store 1.00x10^6 J of energy when rotating at 200 rad/s, what is the moment of inertia of the wheel in kgm^2?

B) A solid cylinder of mass 10 kg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. What is the angular acceleration of the disk?

C) A very light meterstick is supported at its center by a pivot. There are three masses hanging from the stick as follows: 25 kg at 0 cm, 75 kg at 20 cm, and M at 85 cm. Determine M

Explanation / Answer

Stored Energy = 0.5*I*w^2

Therefore

1*10^6 = 0.5*I*200^2

Therefore

I = 50 Kgm^2

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Balance the torques

25*25 + 75*5 = 35*M

Therefore

M = 28.57 Kg

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