(A) An experimental flywheel, used to store energy and replace an automobile eng

Question

(A) An experimental flywheel, used to store energy and replace an automobile engine, is a solid disk of mass 181 kg and radius 0.395 m. What is its rotational inertia?

(B) When driving at 22.8 m/s (51.0 mph), the fully energized flywheel is rotating at an angular speed of 3177 rad/s. What is the initial rotational kinetic energy of the flywheel?

(C) If the total mass of the car is 1073 kg, find the ratio of the initial rotational kinetic energy of the flywheel to the translational kinetic energy of the car.

(D) If the force of air resistance on the car is 669 N, how far can the car travel at a speed of 22.8 m/s (51.0 mph) with the initial stored energy? Ignore losses of mechanical energy due to means other than air resistance.

Explanation / Answer

a)

the rotational inertia

0.5 *181 * 0.3952

= 14.12 kgm2

b)

initial rotational kinetic energy of the flt wheel

0.5 * 14.12 * 31772

= 7.12 *10^8 J

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