How Do You Measure Tension in a Rubber Band Wrapped Around a Cylinder?

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To measure the tension in a rubber band wrapped around a cylinder, key parameters include the primary length of the band, its elongation, and the modulus of elasticity. Understanding these factors allows for calculations related to the tension. The relationship between these variables can help determine the force exerted by the rubber band. Accurate measurements and knowledge of material properties are essential for precise tension assessment. Overall, the tension can be calculated using the appropriate formulas based on the identified parameters.
moonman
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If you have a rubber band wrapped around a cylinder, how can you tell the tension in the band? What parameters do you need to know?
 
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moonman said:
If you have a rubber band wrapped around a cylinder, how can you tell the tension in the band? What parameters do you need to know?

If you were familiar with the primary length of the band, the elongation, and the module of elasticity, you could work something out, I guess.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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