Answer
a. $\frac{1}{2}\ cm$
b. $\frac{2}{\pi}\ Hz$ (cycles per second)
c. $ \frac{\pi}{2}\ sec$.
Work Step by Step
a. The maximum displacement is the same as the amplitude, which is $\frac{1}{2}\ cm$ based on the given equation.
b. The frequency $f$ can be found from the given equation as $\omega=2\pi f=4$; thus $f=\frac{2}{\pi}\ Hz$ (cycles per second)
c. The time required for one cycle is the same as the period, which is $p=\frac{1}{f}= \frac{\pi}{2}\ sec$.
