A piano tuner uses a tuning fork if middle C has a frequency of 264 vibrations per second write an equation of simple harmonic motion of the tuning fork?

The simple harmonic motion (SHM) of the tuning fork can be modeled by the equation ( x(t) = A \cos(2\pi f t + \phi) ), where ( A ) is the amplitude, ( f ) is the frequency, ( t ) is time, and ( \phi ) is the phase constant. Given that middle C has a frequency of 264 Hz, the equation becomes ( x(t) = A \cos(2\pi(264)t + \phi) ). The specific values for amplitude ( A ) and phase ( \phi ) would depend on the characteristics of the tuning fork.