Chapter 6.3, Problem 84E

Sound Vibrations A tuning fork is struck, producing a pure tone as its tines vibrate. The vibrations are modeled by the function

$v\left(t\right)=0.7\sin \left(880\pi t\right)$

Where $v\left(t\right)$ is the displacement of the tines in millimeters at time $t$ seconds.

(a) Find the period of the vibration.

(b) Find the frequency of the vibration, that is, the number of times the fork vibrated per second.

(c) Graph the function $v$.