Composite Bar Length Calculation

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Homework Help Overview

The problem involves the thermal expansion of composite bars made from two different metals. The original poster presents a scenario where three rods of equal length expand differently when subjected to the same temperature change. The objective is to determine the length of each segment in the composite bar.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formula for calculating thermal expansion and question the original poster's application of it. There are attempts to clarify the coefficients of thermal expansion for the two metals involved. Some participants express uncertainty about their calculations and seek justification for their results.

Discussion Status

The discussion is ongoing, with participants providing guidance on how to approach the problem. There is an emphasis on understanding the underlying concepts rather than simply providing answers. Some participants have shared their calculations and are looking for validation or further explanation.

Contextual Notes

There is a mention of the need for calculations related to the coefficients of thermal expansion for the two materials, which are essential for solving the problem. The original poster has expressed difficulty in applying the formula correctly.

eduardalcazar
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Homework Statement



metal rod 30cm long expands by 0.075cm when its temp. is raised from 0C to 100C. A rod of diff. metal of the same length expands by 0.045cm for the same rise in temp. A third rod, also 30cm long is made up of pices of each of the above metals placed end-to-end expands 0.065cm between 0C to 100C.

What is the length of EACH composite bar.



The Attempt at a Solution



deltaL=initial L x coefficient of thermal expansion.

That formula was the similar from some of my friends. I tried it but still i found it out complicated. Thanks in advance to those who helped. God bless
 
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The coefficient of thermal expansion is what fraction of it's original length a material expands for each 1deg change in temperature.
You can find this value for materials A and B from the numbers you are given.

Your equation isn't quiet correct, it should be: deltaL=initial L x coefficient of thermal expansion x CHANGE IN TEMPERATURE
 
please state your help in equation with explanations. I was able to find the answer but not sure. in my computation the answer 20. I just need a justification in this answer.

Thanks..
 
This site is to teach people how to answer science questions and help them when they go wrong - we don't just supply answers.
I suggest you post your calculations of the coeff for the two materials.
Then we will explain how to do part 2.
 

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