COLLEGE PHYSICS
COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 8, Problem 100QAP
To determine

Angular speed of the dough when the chef catch the pizza.

Expert Solution & Answer
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Answer to Problem 100QAP

  ωafter=4.298rad/s

Explanation of Solution

Given info:

Weight of pizza crust =

  0.500kg

Initial angular speed of dough before expanding =ωbefore=5.20rad/s

Diameter of pizza before expanding =dbefore=20cm

So, rbefore=10cm

Diameter of pizza after expanding =dafter=22cm

So, rafter=11cm

Formula used:

Angular momentum,

  Lz=Iωz ( Lz= Angular momentum, I= moment of inertia, ωz= angular velocity)

Conservation of angular momentum,

  Lbefore=Lafter

  Ibeforeωbefore=Iafterωafter

Calculation:

Moment of inertia of the dough before the expanding,

  Ibefore=12m(rbefore)2

Angular momentum of the dough before the expanding,

  Lbefore=Ibeforeωbefore

  Lbefore=12m(rbefore)2ωbefore...(1)

Moment of inertia of the dough after the expanding,

  Iafter=12m(rafter)2

Angular momentum of the dough before the expanding,

  Lafter=Iafterωafter

  Lafter=12m(rafter)2ωafter...(2)

According to the Conservation of angular momentum,

  Lbefore=Lafter

  Ibeforeωbefore=Iafterωafter

Substituting (1),(2) expressions,

  12m(rbefore)2ωbefore=12m(rafter)2ωafter

  (rbefore)2ωbefore=(rafter)2ωafter

Substituting the given values, we get

  (10×102m)2(5.2rad/s)=(11×102m)2ωafter

  (100×104m2)(5.2rad/s)=(121×104m2)ωafter

  100(5.2rad/s)=121ωafter

  ωafter=100(5.2rad/s)121

ωafter=4.298rad/s

Conclusion:

Thus, angular speed of the dough, after the expanding is 4.298rad/s.

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Chapter 8 Solutions

COLLEGE PHYSICS

Ch. 8 - Prob. 11QAPCh. 8 - Prob. 12QAPCh. 8 - Prob. 13QAPCh. 8 - Prob. 14QAPCh. 8 - Prob. 15QAPCh. 8 - Prob. 16QAPCh. 8 - Prob. 17QAPCh. 8 - Prob. 18QAPCh. 8 - Prob. 19QAPCh. 8 - Prob. 20QAPCh. 8 - Prob. 21QAPCh. 8 - Prob. 22QAPCh. 8 - Prob. 23QAPCh. 8 - Prob. 24QAPCh. 8 - Prob. 25QAPCh. 8 - Prob. 26QAPCh. 8 - Prob. 27QAPCh. 8 - Prob. 28QAPCh. 8 - Prob. 29QAPCh. 8 - Prob. 30QAPCh. 8 - Prob. 31QAPCh. 8 - Prob. 32QAPCh. 8 - Prob. 33QAPCh. 8 - Prob. 34QAPCh. 8 - Prob. 35QAPCh. 8 - Prob. 36QAPCh. 8 - Prob. 37QAPCh. 8 - Prob. 38QAPCh. 8 - Prob. 39QAPCh. 8 - Prob. 40QAPCh. 8 - Prob. 41QAPCh. 8 - Prob. 42QAPCh. 8 - Prob. 43QAPCh. 8 - Prob. 44QAPCh. 8 - Prob. 45QAPCh. 8 - Prob. 46QAPCh. 8 - Prob. 47QAPCh. 8 - Prob. 48QAPCh. 8 - Prob. 49QAPCh. 8 - Prob. 50QAPCh. 8 - Prob. 51QAPCh. 8 - Prob. 52QAPCh. 8 - Prob. 53QAPCh. 8 - Prob. 54QAPCh. 8 - Prob. 55QAPCh. 8 - Prob. 56QAPCh. 8 - Prob. 57QAPCh. 8 - Prob. 58QAPCh. 8 - Prob. 59QAPCh. 8 - Prob. 60QAPCh. 8 - Prob. 61QAPCh. 8 - Prob. 62QAPCh. 8 - Prob. 63QAPCh. 8 - Prob. 64QAPCh. 8 - Prob. 65QAPCh. 8 - Prob. 66QAPCh. 8 - Prob. 67QAPCh. 8 - Prob. 68QAPCh. 8 - Prob. 69QAPCh. 8 - Prob. 70QAPCh. 8 - Prob. 71QAPCh. 8 - Prob. 72QAPCh. 8 - Prob. 73QAPCh. 8 - Prob. 74QAPCh. 8 - Prob. 75QAPCh. 8 - Prob. 76QAPCh. 8 - Prob. 77QAPCh. 8 - Prob. 78QAPCh. 8 - Prob. 79QAPCh. 8 - Prob. 80QAPCh. 8 - Prob. 81QAPCh. 8 - Prob. 82QAPCh. 8 - Prob. 83QAPCh. 8 - Prob. 84QAPCh. 8 - Prob. 85QAPCh. 8 - Prob. 86QAPCh. 8 - Prob. 87QAPCh. 8 - Prob. 88QAPCh. 8 - Prob. 89QAPCh. 8 - Prob. 90QAPCh. 8 - Prob. 91QAPCh. 8 - Prob. 92QAPCh. 8 - Prob. 93QAPCh. 8 - Prob. 94QAPCh. 8 - Prob. 95QAPCh. 8 - Prob. 96QAPCh. 8 - Prob. 97QAPCh. 8 - Prob. 98QAPCh. 8 - Prob. 99QAPCh. 8 - Prob. 100QAPCh. 8 - Prob. 101QAPCh. 8 - Prob. 102QAPCh. 8 - Prob. 103QAPCh. 8 - Prob. 104QAPCh. 8 - Prob. 105QAPCh. 8 - Prob. 106QAPCh. 8 - Prob. 107QAPCh. 8 - Prob. 108QAPCh. 8 - Prob. 109QAPCh. 8 - Prob. 110QAPCh. 8 - Prob. 111QAPCh. 8 - Prob. 112QAPCh. 8 - Prob. 113QAPCh. 8 - Prob. 114QAPCh. 8 - Prob. 115QAPCh. 8 - Prob. 116QAPCh. 8 - Prob. 117QAPCh. 8 - Prob. 118QAPCh. 8 - Prob. 119QAPCh. 8 - Prob. 120QAPCh. 8 - Prob. 121QAPCh. 8 - Prob. 122QAPCh. 8 - Prob. 123QAPCh. 8 - Prob. 124QAPCh. 8 - Prob. 125QAPCh. 8 - Prob. 126QAPCh. 8 - Prob. 127QAP
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