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A rotating flywheel (essentially a solid cylinder) can be used to store kinetic energy.

The flywheel has a diameter of $1.50\text{ meters}$ and a mass of $225\text{ kilograms}$.

The car has a mass of $1300\text{ kilograms}$.

If the car can travel a distance of $300.0\text{ kilometers}$ when there is an average retarding force of $450\text{ Newtons}$, what is the average angular velocity of the flywheel?

A

$1.98\times { 10 }^{ 4 }\text{ revolutions per minute}$

B

$9.86\times { 10 }^{ 3 }\text{ revolutions per minute}$

C

$8.21\times { 10 }^{ 3 }\text{ revolutions per minute}$

D

$2.07\times { 10 }^{ 3 }\text{ revolutions per minute}$

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