Stored energy = sum of kinetic energy of individual mass elements that comprise the flywheel? Kinetic Energy

Question

Stored energy = sum of kinetic energy of individual mass elements that comprise the flywheel

Kinetic Energy = 1/2*I*w2 , where

I = moment of inertia (ability of an obeject to resist changes in its rotational velocity)

w = rotational velocity (rpm)

I = k*M*R2 (M=mass; R=radius); k = inertial constant (depends on shape)

ohms law formula

example:

i have a battery 12 volts 200 amps ( label batt 1)

connected a motor 12volts 10 amps to drive a flywheel 220 lbs that have diameter of 24 inches with a thickness of 8 inches connected to a alternator that produced 12 volts 250 amps and connected to batt1 .

question: it will run infinitely? or it will stop?

Answer 1

Such a device, if it continued to rotate, would violate the second law of thermodynamics. It would be classed as a perpetual motion machine of the second kind.

Answer 2

Particulars are irrelevant, it will not run indefinately.

There is always some loss of energy in any system ( in your case  - friction of the motor & heat dessipation in the alternator, to name just a few). Thus, your battery will eventually run out.