Trucks can be run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 200p rad/s. Suppose that one such flywheel is a solid, uniform cylinder with a mass of 500 kg and a radius of 1.0 m.(a) What is the kinetic energy of the flywheel after charging

Explanation:

Radius, r = 1 m

Mass, m = 500 kg

w = 200 rad/s

Moment of inertia for a dolid symmetric cylinder, I = 1/2 × mr^2

KE = 1/2 × I × w^2

Therefore,

KE = 1/4 × m × w^2 × r ^2

= 1/4 × 500 × 200^2 × 1^2

= 5.0 × 10^6 J.

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