To Drive a Typical Car at 40 Mph on a Level

To drive a typical car at 40 mph on a level road for one hour requires about $3.2 \times 10 ^ { 7 } \mathrm {~J}$ of energy. Suppose we tried to store this much energy in a spinning, solid, uniform, cylindrical flywheel. A large flywheel cannot be spun too fast or it will fracture. If we used a flywheel of diameter 1.2 m and mass 400 kg, what angular speed would be required to store $3.2 \times 10 ^ { 7 } \mathrm {~J} ?$

A) 940 rad/s
B) 3600 rad/s
C) 5500 rad/s
D) 530 rad/s
E) 1800 rad/s

Correct Answer:

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