Flywheels are large, massive wheels used to store energy. they can be spun up slowly, then the wheels energy can be released quickly to accomplish a task that demands high power. an industrial flywheel has a 1.5 m diameter and a mass of 250 kg.
1. a motor spins up the flywheel with a constant torque of 50 n*m. how long does it take the flywheel to reach top angular speed of 1200 rpm
2. how much energy is stored in the flywheel?

176.99113 seconds

555165.24756 J

Explanation:

d = Diameter of wheel = 1.5 m

r = Radius =

m = Mass of wheel = 250 kg

= Torque = 50 Nm

= Angular speed = 1200 rpm

Moment of inertia is given by

Angular acceleration is given by

Time taken is given by

The time it takes for the flywheel to reach top angular speed is 176.99113 seconds

Kinetic energy is given by

The energy is stored in the flywheel is 555165.24756 J

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