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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