Elastic potential energy force x distance of displacement.
Rubber band force equation.
F force in newtons.
Say i have a rubber band wrapped around 2 pegs at a certain distance and at that distance i know the pounds of force per inch it is pulling at.
Individual 4 carbon backbone units are forced into rotational conformations that have longer end to end distances and this restricts the number of conformations states that are thermally accessible.
If you released a rubber band with properties like that it would just stay in the outstretched position until you force into another state.
Without this property the rubber band would have no reason to tend towards a tangled state since the entropy would be about the same in both states.
W elastic potential energy in joules.
Elastic potential energy is the stored energy of a compressible or stretchable object like a spring or rubber band or molecule.
After you get the rubber band stretched just a little bit it is very spring like.
Rubber band force vs.
Displacement 14 12 10 8 f newtons 2 0 0 00 0 02 0 04 0 06 0 08 0 10 0 12 0 14 x meters curve fitting provides the following force vs displacement equation f x 33 55 x 0 4871 where x is in mand f is in n.
For example if the pegs are placed such that the band is stretched to 52 inches the force the bands apply to the pegs are 57 6 lbs per inch.
When a rubber band is stretched some of the network chains are forced to become straight.
The following figure shows the experimentally obtained measured force vs displacement for a rubber band.