Resonant Frequency Formula for a given object

Click For Summary
SUMMARY

The discussion centers on the calculation of resonant frequencies for various objects, emphasizing that there is no universal formula applicable to all. The formula for a spring's resonant frequency is given as 1/2π∗sqrt(𝑘/𝑚), while the velocity-frequency-wavelength relationship is defined by v = λf. For complex objects like cars or rocks, multiple resonant frequencies exist, necessitating computer simulations to determine them. The Wave Equation is identified as a fundamental tool for calculating resonant frequencies in simple geometries.

PREREQUISITES
  • Understanding of the Wave Equation
  • Familiarity with the concept of resonant frequency
  • Basic knowledge of spring mechanics
  • Experience with computer simulations in physics
NEXT STEPS
  • Study the Wave Equation in detail
  • Explore computer simulation software for physics, such as COMSOL Multiphysics
  • Research methods for calculating resonant frequencies of complex geometries
  • Watch educational videos on the Wave Equation for practical understanding
USEFUL FOR

Students and professionals in physics, engineers working with mechanical systems, and anyone interested in the dynamics of resonant frequencies in various materials.

btb4198
Messages
570
Reaction score
10
I know the v = λf is the formula to find the resonance frequency of a single continuous wave and the formula for resonance frequency of a spring is: 1/2π∗sqrt(𝑘/𝑚)

but what about the Formula for a random object?
a car, or a rock, water ?

is there one Formula to rule them all? or do you have to develop an Formulae per object?
if so, how do you do that ?
 
Physics news on Phys.org
btb4198 said:
I know the v = λf is the formula to find the resonance frequency of a single continuous wave
Not really. That is the equation that relates the velocity of a traveling wave to its frequency and wavelength.

btb4198 said:
but what about the Formula for a random object?
a car, or a rock, water ?

is there one Formula to rule them all?
In general there will be many resonant frequencies of objects, and you will need to do computer simulations to try to figure out what they are.

One common way of calculating the resonant frequency of a simple geometry is to solve the Wave Equation:

https://en.wikipedia.org/wiki/Wave_equation

Are you familiar yet with the Wave Equation?
 
berkeman said:
Not really. That is the equation that relates the velocity of a traveling wave to its frequency and wavelength.In general there will be many resonant frequencies of objects, and you will need to do computer simulations to try to figure out what they are.

One common way of calculating the resonant frequency of a simple geometry is to solve the Wave Equation:

https://en.wikipedia.org/wiki/Wave_equation

Are you familiar yet with the Wave Equation?
I have hear of it before, but no I am not.
I use YouTube it and found these:
https://www.youtube.com/results?search_query=+Wave+Equation
I will watch these videos on it
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
8K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
4K
  • · Replies 17 ·
Replies
17
Views
3K
Replies
3
Views
4K
  • · Replies 3 ·
Replies
3
Views
10K
Replies
17
Views
4K