Answer
L = 0.500 meters
Work Step by Step
Given:
$\theta$ = 0.0800cos(4.43t + $\phi$}
$m$ = 60g = 0.06 Kg
Use the equation L = $\frac{g}{\omega^2}$ and recognize that $\theta$ = 0.0800cos(4.43t + $\phi$}, = 0.0800cos($\omega$t + $\phi$}:
Thus $\omega$ = 4.43 and:
L = $\frac{g}{\omega^2}$ = $\frac{9.81}{4.43^2}$ = 0.500 meters