Gradebook ORION Chapter 09, Problem 51 A flywheel is a solid disk that rotates a
ID: 1465605 • Letter: G
Question
Gradebook ORION Chapter 09, Problem 51 A flywheel is a solid disk that rotates about an axis that is perpendioular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline buned in a 265-mile trip in a typical midsine car produces about 1.59 x 109 J of energy. How fast would a 5.63-kg flywheel with a radus of 0.496 m have to rotate to store this much energy? Give your answer in rev/min. Number the tolerance is +/-2% Units Open Show Work clickf Click if you would like to Show Work for this question: SAVE FOR LATER Question Attempts: O of 5 usedExplanation / Answer
Here Moment of Inertia I = 0.5 mR^2
I = 0.5 * 5.63 * 0.496* 0.496
I = 0.692 Kgm^2
Rotationa KE = 0.5 IW^2 = 1.59e9
W^2 = angular speed = 2 KE/I
W^2 = 2 * 1.59 e9 /( 0.692)
W = 67889.2 Rad/s
as 1 rpm = 2pi/60
W = 67889.2 * 60/2pi
W = 648623 RPM
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