- #1

Dell

- 590

- 0

the strain, as a function of the angle is K*sin

^{2}(x)

now i know that the change in length is the integral of the strain

=[tex]\int[/tex]K*sin

^{2}(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?