## 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. Su

Question

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

in progress 0
3 years 2021-08-28T07:01:28+00:00 2 Answers 10 views 0

Explanation:

Mass, m = 500 kg

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.

The kinetic energy of the flywheel is 5000kJ.

Explanation:

We have that the moment of inertia of a solid and uniform cylinder is equal to:

Where m is the mass of the cylinder and R its radius.

Next, the rotational kinetic energy of an object rotating about an axis is given by:

Where ω is the angular velocity. From these two equations, we can derive that:

Plugging the given values in this equation, we obtain:

In words, the kinetic energy of the flywheel is 5000kJ.