Quick question on thermal expansion.

In summary, the statement is false. The brass strip is actually on the outside of the curve in a bimetallic strip of brass and copper when heated. This is because brass has a higher coefficient of linear expansion, causing it to expand faster and putting stress on the copper strip, causing it to curl.
  • #1
marmot
55
1

Homework Statement


In a bimetallic strip of brass and copper which curls when heated, the brass is on the inside of the curve.

True or false?


Homework Equations



deltaL=alpha*Lo*deltaT



The Attempt at a Solution


It is false but I do not get why. Brass has a higher coefficient of linear expansion so if it is in the inside, I suppose it will expand faster than the copper causing stress in the copper to curl?
 
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  • #2
Brass expands more, so the strips will bend so the brass strip is on the outside. If it bent so far as to form a circle, you could say greater radius, greater circumference.
 
  • #3


Your understanding is correct. The statement is false because the brass, which has a higher coefficient of linear expansion, will expand more than the copper and therefore will be on the outside of the curve. This is because the brass will experience more expansion and will push against the copper, causing it to curl. This is known as the thermal gradient and is a result of the difference in thermal expansion between the two materials.
 

Related to Quick question on thermal expansion.

1. What is thermal expansion?

Thermal expansion is the tendency of matter to change in shape, area, and volume in response to a change in temperature.

2. Why does thermal expansion occur?

Thermal expansion occurs because as matter is heated, its particles begin to move faster and take up more space, resulting in an increase in volume.

3. How does thermal expansion affect different materials?

Different materials have different coefficients of thermal expansion, meaning they expand at different rates when heated. This can cause stress and distortion in objects made of multiple materials.

4. How is thermal expansion measured?

The change in length, area, or volume of a material due to temperature change is measured using a coefficient of thermal expansion, which is expressed as the change in dimension per unit change in temperature.

5. Can thermal expansion be controlled?

Thermal expansion can be minimized through the use of materials with low coefficients of thermal expansion and through proper design and construction techniques. In some cases, expansion joints and other mechanisms can be used to accommodate thermal expansion in large structures.

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