Answer:
The frequency of the tuning fork is 1760 Hz.
Step-by-step explanation:
Suppose we have a sine function in the following format:
[tex]y = A\sin{Bx + C}[/tex]
The period is:
[tex]T = \frac{2\pi}{B}{/tex]
The frequency, in Hz, is:
[tex]F = \frac{1}{T}[/tex]
In this question:
[tex]d = 0.6\sin{3520\pi t}[/tex]
So
[tex]B = 3520\pi, T = \frac{2\pi}{3520} = \frac{2}{3520}, F = \frac{1}{T} = \frac{1}{\frac{2}{3520}} = \frac{3520}{2} = 1760[/tex]
The frequency of the tuning fork is 1760 Hz.
