How Does Conservation of Angular Momentum Apply to Rotational Kinematics?

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Homework Help Overview

The discussion revolves around the application of conservation of angular momentum in the context of rotational kinematics, particularly in relation to creating artificial gravity in a space station.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between centripetal acceleration and artificial gravity, questioning the necessity of matching Earth's gravity. There are discussions about the implications of angular momentum and the role of mass distribution in the system.

Discussion Status

Some participants have offered hints regarding the calculations needed for centripetal acceleration and angular momentum. There is acknowledgment of previous misunderstandings, and a shift towards focusing on conservation of angular momentum has been noted.

Contextual Notes

There is a mention of varying mass distributions within the space station and how this affects the moment of inertia. Participants are also considering the implications of angular momentum being constant in the system.

cheechnchong
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MY Question was answered! thanks to those who posted...i got the right answer from the book!
 
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HINT: To create the artificial gravitational force what must the centripetal acceleration of the space station be? How fast must the station be rotating to achieve this centripetal acceleration?
 
Hootenanny said:
HINT: To create the artificial gravitational force what must the centripetal acceleration of the space station be? How fast must the station be rotating to achieve this centripetal acceleration?

ohhhhhhhhh good one
 
Hootenanny said:
HINT: To create the artificial gravitational force what must the centripetal acceleration of the space station be? How fast must the station be rotating to achieve this centripetal acceleration?
Why do you need to know anything about the centripetal acceleration? The artificial gravity would not have to be the same as Earth's gravity.
 
OlderDan said:
Why do you need to know anything about the centripetal acceleration? The artificial gravity would not have to be the same as Earth's gravity.
Indeed, I was wrong. This should be treated as a conservation of angular momentum problem. Good Catch Dan, apologies to chee.
 
Hootenanny said:
Indeed, I was wrong. This should be treated as a conservation of angular momentum problem. Good Catch Dan, apologies to chee.

ok but how do i discern the what the masses are used for?? is the angular moment L = Iw ?
 
You know what I is initally. You should be able to figure out what I is if everyone is in the center. You should also be able to figure out what I is if everyone is on the outer shell.

You know Iw is constant (angular momentum is constant), so put I when everyone is in the middle over I when everyone is on the outside, you get w when everyone is on the outside over w when everyone is inside
 
Office_Shredder said:
You know what I is initally. You should be able to figure out what I is if everyone is in the center. You should also be able to figure out what I is if everyone is on the outer shell.

You know Iw is constant (angular momentum is constant), so put I when everyone is in the middle over I when everyone is on the outside, you get w when everyone is on the outside over w when everyone is inside

this is extremely clear...will try this when i get home later today! thanks and if have any probs check your PM...if you choose to :smile:
 
Hootenanny said:
Indeed, I was wrong. This should be treated as a conservation of angular momentum problem. Good Catch Dan, apologies to chee.

hey it's fine! no worries
 

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