When tuning a piano,a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by
Y = 0.001 sin 880πt,

Where t is the time (in seconds).

What is the period of the function?

A) $\frac { 1 } { 880 }$ sec
B)440 sec
C) $\frac { 1 } { 440 }$ sec
D)880 sec
E)88 sec

Question

When tuning a piano,a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by ​
Y = 0.001 sin 880πt,
​
Where t is the time (in seconds).
​
What is the period of the function?
​
A) $\frac { 1 } { 880 }$ sec
B)440 sec
C) $\frac { 1 } { 440 }$ sec
D)880 sec
E)88 sec

Quizplus · Accepted Answer

The period of a sine function is given by $T = \frac{2\pi}{\omega}$, where $\omega$ is the angular frequency. In the given function, $\omega = 880\pi$, so the period $T = \frac{2\pi}{880\pi} = \frac{1}{440}$ sec.

When Tuning a Piano,a Technician Strikes a Tuning Fork for the a Above