How do you find the amplitude, period, vertical and phase shift and graph #y=cos(theta+pi/3)#?
Simple Harmonic Motion/Oscillations (SHM) are graphed with cosine or sine functions, and the amplitude; period and phase shift can easily be found in the following way:
The graph for displacement can be described with:
The angular displacement is equal to the angular velocity * time.
We can substitute this into our equation:
A == Amplitude
In your example:
The Amplitude is equal to 1 (same as
The Phase Change (
We know the period (T) is equal to:
Hence, substituting you will get
To find the period we will have to substitute a value for time or find a time for displacement = 0