Force/pressure exerted from rubber band

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If you stretch a rubber band around a pole, the band exerts a force onto the surface of the pole (F1 in figure 1). Is it possible to calculate this force if I know the force needed to stretch the rubber band to the same total length as the circumference of the pole? That is to say:
1. I know the force F2 in figure 2
2. The total length of the rubber band is the same in figure 1 and figure 2

Can I calculate the force F1? Is it meaningful to talk about force, or should one talk about the pressure instead?
 

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  • #2
nvn
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pryphnoq: Yes, it would be more relevant to talk about the contact pressure underneath the rubber band, which would be p1 = F2/(r*b), where r = pole radius, and b = rubber band width (when stretched). The total resultant force of this pressure, on one half of the pole circumference, would be, F1 = 2*p1*r*b = 2*F2.
 
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