Please show all steps in how you arrived at your answer. Thank you. PHYSICS 131

Question

Please show all steps in how you arrived at your answer. Thank you.

PHYSICS 131 - Quiz 9.a Naime Student ID provided on each sheet. If you run out of room for an answer, continue on ihe lxack. 1. One possible zero-emission automobile technology is to use energy stored in a rotating flywheel. Suppose such a car has a total mass of 1000 kg, uses a uniform cylindrical flywheel of diameter 1.5 m and mass 240 kg ( 67.5 kg m2), and should be able to travel 400 km without a "spi-up". Assuming the car has an average retarding force of 500 N, what is the "full charge" angular velocity of the fly wheel?

Explanation / Answer

in travelling, energy is used working against the retarding force .

so flywheel must contain the energy, that is sufficient to work against the retarding force.

W = F.d = (500 N) (400 x 10^3 m ) = 2 x 10^8 J

KE stored = I w^2 / 2

2 x 10^8 = 67.5 w^2 / 2

w = 2434.3 rad/s

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