Potential Energy Stored in latex rubber

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SUMMARY

The potential energy stored in latex rubber can be calculated using Hooke's law, where the energy (E) is derived from the formula E = 0.5 * k * x^2, with k being the Hooke's constant and x the change in length. For practical applications, especially in building rubber band vehicles, it is essential to consider the non-linear behavior of rubber, which may not strictly adhere to Hooke's law. The Mooney-Rivlin equation provides a more accurate representation of rubber elasticity. Additionally, the optimal diameter of the rubber band relative to its length is crucial for performance, and further research into FAI competition rubber is recommended for model aircraft applications.

PREREQUISITES
  • Understanding of Hooke's law and its application in elasticity
  • Familiarity with the Mooney-Rivlin equation for rubber elasticity
  • Basic knowledge of energy calculations in mechanical systems
  • Experience with modeling and testing mechanical prototypes
NEXT STEPS
  • Research the Mooney-Rivlin equation for a deeper understanding of rubber elasticity
  • Learn about FAI competition rubber specifications and their performance characteristics
  • Explore methods for measuring Hooke's constant in rubber materials
  • Investigate optimal rubber band dimensions for mechanical applications
USEFUL FOR

This discussion is beneficial for mechanical engineers, hobbyists building rubber band vehicles, and researchers interested in the properties of rubber materials and their applications in modeling and design.

simon whitelock
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I am looking for a simple number which is the potential energy that can be stored in rubber. ( Joules per gram or something similar ) I know there are a number of forms of rubber and I keep reading numerous articles on how to calculate the energy content of a rubber band.
Can anyone just tell me the number for typical rubber available commercially ??
I am building a rubber band "vehicle" and I am starting off with a test bed of one band approx 3m long made up of say 50 strands which will run as a model airplane would but driving the rear wheel. I can pretty much work out frictional losses through the drive system and what horsepower I need to get up to certain speeds but before I run the test vehicle on the road I would be interested to compare the theoretical number against that actually achieved.
There must also be a optimum diameter for the band itself expressed as a ratio to the length which I am trying to find out from the modelling world but if anyone has that number I would be grateful to hear it.

Thanks
Simon
 
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You can just measure it.
If you know the force F (weight), and the change in length x, you can compute the Hooke's constant k.
F = -kx

From there you can compute energy: E = 0.5*kx^2

Energy per mass is just E/m. If you want a maximum, hang more and more weight from a rubber band, until it breaks.
Hope this helps.
 
Rubber typically doesn't follow Hooke's law. The observed rheological behavior of rubber is highly non-linear. You need to read some papers on the theory of rubber elasticity. Google Mooney-Rivlin equation.

Chet
 
It might not be linear, but you might be able to approximate. Plot weight vs stretch distance.
 
Don't use rubber bands. Google FAI competition rubber as used for model aircraft. Ditto lubricant. As i recall rubber improves as it is "run in".
 

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