Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 8, Problem 67P
To determine

To Find: The angular velocity of the turntable.

Expert Solution & Answer
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Answer to Problem 67P

The angular velocity of turntable is 0.39rad/s .

Explanation of Solution

Given:

Mass of person, m=55kg

Diameter of table, d=6.5m

Mmoment of inertia of person, I=1700kgm2

Speed of person, v=3.8m/s

Formula used:

Angular momentum = Iω

Here,

  I is the moment of inertia,

  ω is the angular velocity.

Calculation:

Angular momentum of a person:

  =mvr=55×3.8×6.52kgm2/s=679.25kgm2/s

Angular momentum of turntable:

  =Iω=1700ωkgm2

According to the law of conservation of momentum, momentum neither be created nor it can be destroyed.

Final angular momentum = Initial angular momentum

Angular momentum of person = Angular momentum of turntable

  679.25kgm2/s=1700ωkgm2ω=679.251700rad/sω=0.39rad/s

Conclusion: 

The angular velocity of turntable is 0.39rad/s .

Chapter 8 Solutions

Physics: Principles with Applications

Ch. 8 - The moment of inertia of a rotating solid disk...Ch. 8 - Two inclines have the same height but make...Ch. 8 - Two spheres look identical and have the same mass....Ch. 8 - A sphere and a cylinder have the same radius and...Ch. 8 - Prob. 15QCh. 8 - Prob. 16QCh. 8 - Prob. 17QCh. 8 - 15. Can the diver of Fig. 8-28 do a somersault...Ch. 8 - Prob. 19QCh. 8 - When a motorcyclist leaves the ground on a jump...Ch. 8 - Prob. 21QCh. 8 - 18. The angular velocity of a wheel rotating on a...Ch. 8 - 19. In what direction is the Earth's angular...Ch. 8 - 20. ‘On the basis of the law of conservation of...Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47PCh. 8 - Prob. 48PCh. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - Prob. 56PCh. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Prob. 60PCh. 8 - Prob. 61PCh. 8 - Prob. 62PCh. 8 - Prob. 63PCh. 8 - Prob. 64PCh. 8 - Prob. 65PCh. 8 - Prob. 66PCh. 8 - Prob. 67PCh. 8 - Prob. 68GPCh. 8 - Prob. 69GPCh. 8 - Prob. 70GPCh. 8 - Prob. 71GPCh. 8 - Prob. 72GPCh. 8 - Prob. 73GPCh. 8 - Prob. 74GPCh. 8 - Prob. 75GPCh. 8 - Prob. 76GPCh. 8 - Prob. 77GPCh. 8 - Prob. 78GPCh. 8 - Prob. 79GPCh. 8 - Prob. 80GPCh. 8 - Prob. 81GPCh. 8 - Prob. 82GPCh. 8 - Prob. 83GPCh. 8 - Prob. 84GPCh. 8 - Prob. 85GPCh. 8 - Prob. 86GP
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