Energy is to be stored in a flywheel in the shape of a uniform solid disk with a

Question

Energy is to be stored in a flywheel in the shape of a uniform solid disk with a radius of R = 1.28mand a mass of 71.0kg . To prevent structural failure of the flywheel, the maximum allowed radial acceleration of a point on its rim is 3460m/s2 .

Part A

What is the maximum kinetic energy that can be stored in the flywheel?

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Energy is to be stored in a flywheel in the shape of a uniform solid disk with a radius of R = 1.28mand a mass of 71.0kg . To prevent structural failure of the flywheel, the maximum allowed radial acceleration of a point on its rim is 3460m/s2 .

Part A

What is the maximum kinetic energy that can be stored in the flywheel?

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Explanation / Answer

As

arad = w^2 r

Then,

w = sqrt(arad / r) = 51.9916 rad/s

This is the maximum angular velocity.

Thus, the maximum KE is

KE = 1/2 m w^2 r^2 = 1.572*10^5 J   [ANSWER]

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