Question

An acrobat swings from a trapeze with a frequency of 0.5Hz what is the length of the trapeze cable ?

Answer 1

We know that

Time period

$T=2\pi\sqrt{\frac{L}{g}}$

$T=\frac{1}{f}$

$\frac{1}{f}=2\pi\sqrt{\frac{L}{g}}$

$L=\frac{g}{4\pi^2 f^2}$

Put value

$L=\frac{9.8}{4\times3.14^2\times 0.5^2}$

L=0.9939m