Spring constant and temperature

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The relationship between spring constant and temperature is complex, with the spring constant typically decreasing as temperature increases due to changes in Young's modulus. Most materials, including polymers, become more easily stretched at higher temperatures, leading to a smaller spring constant. However, some materials may become stiffer with increased temperature, indicating that there is no universal rule. An experiment involving rubber demonstrates that cooling the rubber decreases its elasticity, suggesting that the spring constant is inversely proportional to temperature. Overall, while there is a relationship between spring constant and temperature, it varies depending on the material properties.
adam.musial
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Hey!

Does anybody know any possible relationship between spring constant and the temperature of that spring??
 
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THe spring constant ,k , is a force constant for a particular spring. The temperature is a measurement of the average kinetice energy of the molecules of the spring. THey are not directly related.

For most things, the "Young's modulus" of the material will change with the temperature, most things getting more easily stretched as temperature increases. Therefore the spring constant will get smaller for most things as the temperature goes up.

Somethings get stiffer as temperature increases, so there is no absolute rule that associates these two characteristics.
 
They ARE related! The spring is not an ordinary spring but polymers. You can derive Hook's Law by applying statistical methods and take the short displacement limit, the coeff. in the out front is obviously the spring const. and it is proportional to the temperature! I don't know why?!
 
We can perform a simple experiment to know about the relationship between spring constant and temperature :
STEP1 : Take a rubber and decrease its temperature.(keep it in your refrigerator)
STEP2 : Now drop it on the floor to check its elasticity.
If compared with a rubber at room temperature
the elasticity of the cooled rubber will be less than the rubber at room temperature
it simply means that when the temp is decreased the elasticity is also decreased
the rubber behaves like spring as both are elastic materials
spring constant k is inversly propotional to temperature.

 
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