Solved: Flywheels are large, massive wheels used to store

Chapter 12, Problem 68P

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QUESTION:

Problem 68P

Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel’s 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. 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?

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QUESTION:

Problem 68P

Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel’s 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. 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?

ANSWER:

Step 1 of 3

 

Here we have to find the time required to reach the top angular speed of 1200 rpm.

The diameter of the flywheel is 1.5 m.

The radius is,

.

The mass of the flywheel is,

.

The torque given to the flywheel is,

.

.

We know that,

.

So,

.

 

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