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A truck with total mass 3000 kg uses a 320 kg flywheel to store energy. Model...

A truck with total mass 3000 kg uses a 320 kg flywheel to store energy. Model the flywheel as a disk with radius 0.75 m. Assume that 90% of the kinetic energy stored in the flywheel can be converted into linear kinetic energy.

  1. What should the angular velocity of the flywheel be to take the truck from 0 to 15 m/s?
  2. Using the stored energy in the flywheel, how high a hill can the truck climb and still have a speed of 1.5 m/s at the top of the hill?
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