e https// ugen/student/mainfr.uni à Full-Text Search. IEEE Corp: Net Neutrality
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e https// ugen/student/mainfr.uni à Full-Text Search. IEEE Corp: Net Neutrality vs Net T D Weather , RADAR 2 Peter 1 t 2 Peter 1:1 WileyPLUS: HywdeyPIUS Halliday, Fundamentals of physics, 10e PHYSICS FOR SCIENCE AND ENGINEERING (PHYS 2110/212° Practice Assignment Gradebook ORION Downloadable eTextbook ssignment FULL SCREEN |PRINTER VERSION Chapter 11, Problem 051 A wheel is rotating freely at angular speed 720 rev/min ora shaft whose rotational inertia is negligible. A second wheel, initialy at rest and with 4 times the rotational inertia of the first, is suddenly coupled to the same shaft. (a) What is the angular speed of the resultant combination of the shaft and two wheels? (b) What fraction of the original rotational kinetic energy is lost? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Qoen Show Wor By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your nstructor iem lem lens lem lem Question Attempts: 0 of 3 used SAVE FOR LATER SUBNET ANDWER 424.5.1Explanation / Answer
let I1 = I
I2 = 4*I
wi = 720 rev/min
a) Apply conservation of angular momentum
If*wf = Ii*wi
(I1 + I2)*wf = I1*wi
wf = I1*wi/(I1 + I2)
= I*720/(I + 4*I)
= 144 rev/min or 15.1 rad/s
b) KEi = (1/2)*Ii*wi^2
KEf = (1/2)*If*wf^2
fractional lost of original kinetic energy
(KEi - KEf)*100/KEi = ((1/2)*Ii*wi^2 - (1/2)*If*wf^2)*100/((1/2)*Ii*wi)^2
= (I*720^2 - 5*I*144^2)*100/(I*720^2)
= 80%
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