Resonant Frequency Formula for a given object

In summary, the formula to find the resonance frequency of a single continuous wave is v = λf, while the formula for resonance frequency of a spring is 1/2π∗sqrt(𝑘/𝑚). However, there is not one formula that applies to all objects. Instead, computer simulations or solving the Wave Equation can help determine the resonant frequencies of different objects.
  • #1
btb4198
572
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 ?
 
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  • #2
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?
 
  • #3
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
 

FAQ: Resonant Frequency Formula for a given object

What is the resonant frequency formula for a given object?

The resonant frequency formula for a given object is f = (1/2π) * √(k/m), where f is the resonant frequency in Hertz, k is the spring constant in Newtons per meter, and m is the mass of the object in kilograms.

How do you calculate the resonant frequency of an object?

To calculate the resonant frequency of an object, you will need to know the spring constant and mass of the object. Then, you can plug those values into the formula f = (1/2π) * √(k/m) to find the resonant frequency in Hertz.

What is the significance of resonant frequency?

Resonant frequency is the frequency at which an object naturally vibrates. It is an important concept in many fields, including acoustics, electronics, and mechanical engineering. Understanding the resonant frequency of an object can help predict its behavior and avoid unwanted vibrations.

Can resonant frequency be changed?

Yes, the resonant frequency of an object can be changed by altering its mass or the stiffness of its supporting structure. For example, adding weight to an object will decrease its resonant frequency, while increasing the stiffness of the structure will increase the resonant frequency.

What factors affect the resonant frequency of an object?

The resonant frequency of an object is primarily affected by its mass and the stiffness of its supporting structure. Other factors that may influence resonant frequency include temperature, humidity, and external forces such as wind or sound waves.

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