x = A sin(omega t) # deviation angle

d sin(omega t) /dt= omega cos(omega t)

v = dx/dt = (A omega) cos(omega t) # rotation speed

s = dA²omega² # square standard deviation

'amplitude' calculated (dA² omega²)/omega/omega = dA² represents the standard deviation of the angle (for small harmonic oscillations)...

i think.

This example is too complicated for a tutorial...

d sin(omega t) /dt= omega cos(omega t)

v = dx/dt = (A omega) cos(omega t) # rotation speed

s = dA²omega² # square standard deviation

'amplitude' calculated (dA² omega²)/omega/omega = dA² represents the standard deviation of the angle (for small harmonic oscillations)...

i think.

This example is too complicated for a tutorial...