Chapter 09, Problem 51 A flywheel issold disk that rotates about an axis that is

Question

Chapter 09, Problem 51 A flywheel issold disk that rotates about an axis that is perpendolar to the dak at ts center. Rotating nywheels provide means for storing energy in the form ofrotatons kinetic energy and are being considered as a possible alternative to batteries i, electric rs. The gasoine buried in a 275-mile trip in a tocal midsize oar rolos about 3.73 x 10' of energy. How fast would a 6.3 flywheel with a radius of 0.460 m heve to rotate to store this much energy? Give your answer in rev/min. Units the tolerance +/-2% Question Attempts: Unlimited SAVE FOR LATE SURMET ANEWR Polo 12000 2017.chnyelerases.hs. Al Rights Reserved. A Divunof2cht mo asons.ls.

Explanation / Answer

51.

I = moment of inertia of the flywheel = (0.5) m r2 = (0.5) (6.37) (0.46)2 = 0.674 kgm2

w = angular speed

E = eenergy = 3.73 x 109 J

using the equation

KE of wheel = E

(0.5) I w2 = 3.73 x 109

(0.5) (0.674) w2 = 3.73 x 109

w = 1.1 x 105 rad/s

w = (1.1 x 105) (60 /2pi) = 1.1 x 106 rev/min

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