Rubber Band Force Equation

Elastic potential energy force x distance of displacement.

Rubber band force equation.

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. Elastic potential energy is equal to the force times the distance of movement. Elastic potential energy is the stored energy of a compressible or stretchable object like a spring or rubber band or molecule. W elastic potential energy in joules.

When a rubber band is stretched some of the network chains are forced to become straight. 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. 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. 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.

Rubber band force vs. A rubber band is a single molecule as is a latex glove. The following figure shows the experimentally obtained measured force vs displacement for a rubber band. In this case the linear function fitting the straight part of the data gives a spring constant of 17 38 n m.

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.