The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation #d= 0.6sin(3520pit)# What is the frequency of the tuning fork?
Frequency is the number of cycles per second. This is the number of times that ‘d’ returns to its starting position within one second of time ‘t’.
The leading factor of the sin defines the amplitude. If a “standard” sin wave is defined to have a frequency of 1 cps (t=1), the sin modifier (3520-pi) defines the frequency change. One full 'cycle' is 2-pi, therefore the frequency is 3520/2 = 1760 cps.