Calculating Length Change of Heated Copper Rod

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The discussion revolves around calculating the length change of a copper rod when heated from 22.0°C to 100.0°C. The formula for linear expansion is applied, using the coefficient of linear expansion for copper, which is 16.8 x 10^-6. The calculated change in length is 0.052 cm, confirming the initial attempt at a solution. Participants agree that the values and formula used are correct, emphasizing that thermal expansion is generally a small effect. The conversation reassures that the calculations align with expected results.
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Homework Statement


A copper rod is 40.0cm long at 22.0 Celsius. If the rod is heated to 100.0 Celsius, what is it's increase in length.

Homework Equations


Linear expansion of copper is 16.8*10^-6

The Attempt at a Solution


Change in Length= (length)(change in temp.)(α)
So...
(40.0)(78.0)(16.8*10^-6)
=0.052 cm is the change in length?

Please let me know if/what I did wrong here.
 
Last edited:
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What answer are you expecting?
 
Hypersphere said:
What answer are you expecting?

Don't know, I acctually may have not got it wrong i just wanted to make sure.
 
Dantheman1 said:
Don't know, I acctually may have not got it wrong i just wanted to make sure.

OK. Well, if it makes you feel better, those values (assuming you give α in the usual units) and the linear expansion formula does give me the same answer. Basically, thermal expansion is a small effect, which thus mainly matters for larger things.
 

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