Angular Speed: Man Moves 2m from Turntable Center

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Homework Help Overview

The problem involves a turntable rotating about a fixed vertical axis, with a man running outward from the center. The context includes concepts of angular speed and conservation of angular momentum, as well as the moment of inertia of the system.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the conservation of angular momentum and its application to the problem. Questions are raised regarding the initial angular momentum of the system and how the moment of inertia changes when the man moves outward.

Discussion Status

The discussion is ongoing, with participants exploring the implications of angular momentum conservation and the changes in moment of inertia as the man moves. There is no explicit consensus yet, but productive questions are being posed regarding the initial and final states of the system.

Contextual Notes

Participants are considering the system's behavior under the assumption that the man can be treated as a particle and are questioning the effects of his movement on the overall angular momentum of the turntable.

squintyeyes
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A large turntable rotates about a fixed vertical axis, making one revolution every 5.00 s. The moment of inertia of the turntable about its axis is 1.10e+03 kgm2. A man of mass 85.0 kg initially standing at the center of the turntable runs out along a radius. What is the angular speed of the turntable when the man is 2.00 m from the center? (As usual, assume that the man can be treated as a particle.)
________ rad/s

For this problem what equations should i use?
 
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squintyeyes said:
For this problem what equations should i use?

Well the system is rotating and then a man stands on the disc...so what quantity is conserved?
 
is angular momentum conserved and if so how would that apply
 
squintyeyes said:
is angular momentum conserved and if so how would that apply

Well the system is rotating without the man, so what is the initial angular momentum?

When the man is on the disc, what is the new total moment of inertia?
 

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