The end of a tuning fork moves in simple harmonic motion described by the equation d = a sin (ωt). If a tuning fork for the note E above middle C on an even-tempered scale (E₄) has a frequency of approximately 329.63 hertz (cycles per second), find ω. If the maximum displacement of the end of the tuning fork is 0.025 millimeter, determine the equation that describes the movement of the tuning fork.