Does energy affect the frequency of a mechanical wave? The higher the energy the higher the frequency?

Question

By shaking a slinky harder to create more frequency, are you using more energy?

Answer 1

> The higher the energy the higher the frequency?

Yes, but stating it that way is misleading, because it reverses cause and effect.  The energy of a mechanical wave is proportional to its frequency (also to the square of its amplitude); however, the frequency itself is determined either by an outside oscillating driving force, and/or by the geometry and material characteristics of the medium.  You can't incresase the frequency by "dumping energy" into the wave.  But if you change the frequency by other means (by varying the frequency of the driving force or changing the medium's tension, pressure, density, etc.), then the increase in frequency will be accompanied by an increase in energy.

Answer 2

No, energy affect only the amplitude of oscillation, not the frequency.

For e/m waves the answer is yes (E=h*f)

Answer 3

that depend on the mechanical properties of the medium in which the wave is travelling and on the driving signal....