The figure above shows the relationship between uniform circular motion (left)
and sinusoidal motion (right). For uniform circular motion the vector R
travels around the circle at a constant angular velocity (
).
Sinusoidal motion is the projection of R on the vertical (y) axis.
Equation for sinusoidal function:
where,
= Instantaneous Amplitude
= Time
= Peak Amplitude
= Angular Velocity or Angular Frequency (Omega)
= Starting Phase (Theta)
Note:
,
where
is frequency in cycles-per-second (Hz). 