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 880 $\pi$t,

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 880 $\pi$t,
 
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 $T$ of a sine function of the form $y = A \sin(Bt)$ is given by $T = \frac{2\pi}{B}$. Here, $B = 880\pi$, so $T = \frac{2\pi}{880\pi} = \frac{1}{440}$ sec.

When Tuning a Piano, a Technician Strikes a Tuning Fork π\piπ

When Tuning a Piano, a Technician Strikes a Tuning Fork $\pi$