Thermal expansion of an aluminum bar

In summary, when a bar of aluminum undergoes a temperature change, it will expand in all dimensions. This means that all three dimensions (height, width, and length) will increase. The specific increase for each dimension can be calculated using the formula ΔL=αL0ΔT, where α is the coefficient of thermal expansion and L0 is the original length of the bar.
  • #1
austindubose
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Homework Statement


Consider a bar of aluminum which is 10 cm X ½ m X 20 m. If the bar undergoes a change in its temperature from 10° C to 20° C, determine the new dimensions of the bar.


Homework Equations


ΔL=αL0ΔT
α=24x10-6

The Attempt at a Solution


I understand how the formula works and everything. But my real question is as follows: does thermal expansion occur in all dimensions? Would each dimension increase?
 
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  • #2
I don't understand your dimensions of the bar ! and yes... the bar expands in all directions. each height will get higher each width will get wider and each length will get longer
 
Last edited:

Related to Thermal expansion of an aluminum bar

1. How does temperature affect the length of an aluminum bar?

As temperature increases, the length of an aluminum bar also increases due to thermal expansion. This means that the molecules within the bar move farther apart, causing the bar to expand in size.

2. What causes thermal expansion in aluminum bars?

Thermal expansion in aluminum bars is caused by the increased kinetic energy of the molecules as temperature rises. This causes the molecules to vibrate and move further apart, resulting in expansion of the bar.

3. How is the coefficient of thermal expansion calculated for aluminum bars?

The coefficient of thermal expansion for aluminum bars can be calculated by measuring the change in length of the bar for a given change in temperature. The formula is: α = (ΔL/L0) / ΔT, where α is the coefficient of thermal expansion, ΔL is the change in length, L0 is the initial length, and ΔT is the change in temperature.

4. Can thermal expansion cause damage to aluminum bars?

In extreme cases, thermal expansion can cause damage to aluminum bars, especially if there are constraints on the bar that prevent it from freely expanding. This can lead to warping, bending, or even cracking of the bar.

5. How does thermal expansion of aluminum bars impact engineering designs?

Engineers must consider the thermal expansion of aluminum bars when designing structures or machines that use these bars. If not accounted for, thermal expansion can cause misalignment, stress, or failure in the design. Proper calculations and allowances for thermal expansion must be made to ensure the structural integrity of the design.

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