- #1
Dell
- 590
- 0
the strain, as a function of the angle is K*sin2(x)
now i know that the change in length is the integral of the strain
=[tex]\int[/tex]K*sin2(x)dx from 0->2pi
=K/2*[tex]\int[/tex]1-cos(2x)dx
=K/2*(2pi - 0.5*sin(4pi) )
=K*pibut the answer says K*pi*R
where does the R come from? i realize that the change in length should be dependant on the radius, but mathematically how do i come to that?