Fly-wheels are big, massive wheels employed to store energy. They can be spun up slowly, and then the energy of wheel can be free quickly to accomplish a task which demands high power. The industrial flywheel consists of a 1.5 m diameter and a mass of 250 Kg. The maximum angular velocity is around 12000 rpm.
i) A motor spins up the fly-wheel having a constant torque of 50 Nm. Determine how long does it take the flywheel to arrive at top speed?
ii) Determine how much energy is stored in the fly-wheel?
iii) The fly-wheel is detached from the motor and joined to a machine to which it will deliver energy. Half of the energy stored in the fly-wheel is delivered in 2.0 s. Determine the average power delivered to the machine?
iv) Determine how much torque does the fly-wheel applied on the machine?