High School

A flywheel of mass 187 kg has an effective radius of 0.620 m (assume that the mass is concentrated along a circumference located at the effective radius of the flywheel).

a. How much work is required to bring this wheel from rest to an angular speed of 121 rev/min in a time interval of 30.0 s?

Answer :

Final answer:

The work required to bring the flywheel to the given angular speed in the given time interval is 2433.77 J.

Explanation:

To calculate the work required to bring the flywheel from rest to an angular speed of 121 rev/min in a time interval of 30.0 s, we need to use the equation:

Work = Torque × Angular Displacement

Since the angular speed is given in revolutions per minute, let's convert it to radians per second: 121 rev/min × 2π rad/rev × 1min/60s = 12.68 rad/s

Now we can substitute the values into the equation and solve for the work:

Work = (Torque) × (Angular Displacement)

Work = 0.5 × (187 kg) × (0.620 m)² × (12.68 rad/s)²

= 2433.77 J (to three significant figures)

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