What happens to the angle of a circular ring as temperature increases?

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Homework Help Overview

The discussion revolves around the effects of temperature on the angle of a circular ring with a missing segment. Participants are exploring how thermal expansion influences the angle as temperature increases.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand the relationship between temperature increase and the angle of the circular ring, questioning whether the angle increases, decreases, remains the same, or changes in a more complex manner. Other participants discuss the implications of isotropic expansion and whether the shape of the object changes with uniform heating.

Discussion Status

Some participants suggest that if the body expands isotropically, the ratio of the length of the circular gap to the radius remains constant, leading to a potential conclusion that the angle remains the same. However, there is no explicit consensus on this interpretation, and the discussion continues to explore different perspectives.

Contextual Notes

Participants are considering the assumptions related to thermal expansion and the specific conditions of the circular ring, including the nature of the missing segment and the uniformity of temperature distribution.

Jahnavi
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Homework Statement


A part of a circular ring is missing .What happens to the angle when temperature is increased ?

1) θ increases
2) θ decreases
3) θ remains same
4) θ increases initially but becomes constant after a particular temperature .

gap.jpeg

Homework Equations

The Attempt at a Solution



As temperature increases , the length of circular gap on the ring will increase , but I am not sure what will happen to the angle .

Could someone help me .
 

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If an object expands evenly due to evenly distributed heated, will its shape change?
 
If a body experiences unconstrained thermal expansion, the expansion takes place isotropically, and all linear dimensions of the body expand by the same percentage.
 
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Chestermiller said:
and all linear dimensions of the body expand by the same percentage.

In that case , ratio of length of the circular gap to radius remains same as before .

Option 3) would be correct . Right ?
 
Jahnavi said:
In that case , ratio of length of the circular gap to radius remains same as before .

Option 3) would be correct . Right ?
Yes
 
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Thanks !
 

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