What is the difference between resonance in a vacuum and resonance in a medium?

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Discussion Overview

The discussion revolves around the differences in resonance phenomena occurring in a vacuum compared to a medium, such as water. Participants explore the implications of these environments on the amplitude and characteristics of resonance, including the effects of damping and driving forces.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that resonance occurs when an external periodic force matches the natural frequency of a body, leading to increased amplitude, and questions if this differs in a vacuum versus a medium.
  • Another participant asserts that resonance can occur in both environments, emphasizing that the driving force must be in sync with the natural vibration of the object.
  • A third participant provides a mathematical perspective, indicating that the resonant frequency of a pendulum is affected by the medium, such as buoyancy in water.
  • A later reply expresses confusion about whether the amplitude increase due to resonance would differ between a vacuum and a medium, seeking clarification on the effects of different environments.
  • One participant points out that damping from the medium reduces resonant amplitude and sharpness of the resonance peak, suggesting a difference in behavior between the two scenarios.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the differences in amplitude increase due to resonance in a vacuum versus a medium. Multiple competing views are presented regarding the effects of damping and the nature of resonance in different environments.

Contextual Notes

Participants mention various factors such as damping effects and changes in resonant frequency due to the medium, but do not fully resolve the implications of these factors on amplitude differences.

tennispro1213
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So we're studying resonance.

It says that it occurs when an external periodic force acting on a body is exactly equal to the natural frequency of the body. The body then begins to vibrate with greater/increasing amplitude and intensity.

And so what I want to know is that is there a difference between the type of resonance that occurs in a vacuum and the type in a medium (say water) ?

Like in a vacuum, would a pendulum experiencing resonance continue to complete oscillations, or would it spin all the way around or something?
 
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A vacuum simply implies no air friction, resonance occurs with or without a vacuum.
Resonance occurs because the driving force is in sync with the natural vibration of the object.
In simpler terms, the driving force always pushes in the direction of vibration, never against it, thus it allows the maximum increase in amplitude.
The driving force could be from anything, a person, a machine..
 
hi tennispro1213! welcome to pf! :smile:
tennispro1213 said:
… is there a difference between the type of resonance that occurs in a vacuum and the type in a medium (say water) ?

a pendulum is governed by mx'' = -mgsinθ

or approximately x'' = - (g/L)x

if you put the pendulum in a fluid, the buoyancy will change the RHS, and therefore change the resonant frequency
 
Ok, thanks for the answers guys.

I was just confused whether there is a difference in the increased amplitude produced due to resonance in different media.
I actually didn't clarify enough, sorry (First time using a forum (obviously)).
So what I'm asking is, would there be a greater increase in the amplitude of a body if resonance occurred in a vacuum, or would it be the same amount of increase in amplitude if resonance occurred in any medium?

(My reference to the pendulum was just an example, though thanks, that probably would have been my next question.)
 
The damping produced by the medium will indeed reduce the resonant amplitude. And will make the resonance peak less sharp.

See the graph here, for example:

http://en.wikipedia.org/wiki/Resonance
 
Last edited:

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