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

Click For Summary
SUMMARY

The discussion centers on the differences in resonance between a vacuum and a medium, specifically water. It is established that resonance occurs when an external periodic force matches the natural frequency of an object, leading to increased amplitude. In a vacuum, a pendulum can oscillate without air friction, while in a medium, damping effects reduce the amplitude and sharpness of resonance peaks. The presence of a medium alters the resonant frequency due to factors like buoyancy, impacting the overall resonance behavior.

PREREQUISITES
  • Understanding of basic physics concepts, particularly resonance
  • Knowledge of harmonic motion and natural frequency
  • Familiarity with the equations of motion, such as mx'' = -mgsinθ
  • Awareness of damping effects in different media
NEXT STEPS
  • Research the effects of damping in fluids on oscillatory systems
  • Explore the mathematical modeling of resonance in various media
  • Learn about buoyancy and its impact on resonant frequency
  • Study resonance phenomena in different physical systems, such as strings and air columns
USEFUL FOR

Students of physics, engineers working with oscillatory systems, and anyone interested in the principles of resonance in different environments.

tennispro1213
Messages
5
Reaction score
0
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?
 
Physics news on Phys.org
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:

Similar threads

  • · Replies 14 ·
Replies
14
Views
5K
Replies
17
Views
3K
  • · Replies 3 ·
Replies
3
Views
8K
Replies
2
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 4 ·
Replies
4
Views
17K
  • · Replies 2 ·
Replies
2
Views
2K