Answer:
In no case does the amplitude appear, so we would not have to change the period of the system when we change to the amplitude
Explanation:
In the harmonic movement when the amplitude of oscillation increases, body speed also increases, so the frequency remains constant.
When we solve the different case of harmonic movement
Simple pendulum 2pi f = Ra l / g
Spring mass 2pi f = RA k / m
2pi torsion pendulum f = RA I / k
In no case does the amplitude appear, so we would not have to change the period of the system when we change to the amplitude
Answer:
The frequency does not depend on the amplitude for any (ideal) mechanical or electromagnetic waves.
In electromagnetism we have that the relation is:
Velocity = wavelenght*frequency.
So the amplitude of the wave does not have any effect here.
For a mechanical system like an harmonic oscillator (that can be used to describe almost any oscillating system), we have that the frequency is:
f = (1/2*pi)*√(k/m)
Where m is the mass and k is the constant of the spring, again, you can see that the frequency only depends on the physical properties of the system, and no in how much you displace it from the equilibrium position.
This happens because as more you displace the mass from the equilibrium position, more will be the force acting on the mass, so while the "path" that the mass has to travel is bigger, the mas moves faster, so the frequency remains unaffected.
