Can someone with a helmholtz calculation equation.

[Qaiphyx]

I want to find out how wide the port needs to be for specific frequencies. I suck with math. I have the volume, and the frequency, there will be no neck. Can someone break down the step of how to figure out the port. Also, what units are necessary? I want to just use cm, will that be fine if I just use cm for all the measurements?

The equation that I am using is here

http://hyperphysics.phy-astr.gsu.edu/hbase/waves/cavity.html#c1

 

[nasu]

You can plug in your values in the fields and the unknown will be calculated.
The acceptable units are given for each quantity.
http://hyperphysics.phy-astr.gsu.edu/hbase/waves/cavity.html#c4

 

[Qaiphyx]

You can plug in your values in the fields and the unknown will be calculated.
The acceptable units are given for each quantity.
http://hyperphysics.phy-astr.gsu.edu/hbase/waves/cavity.html#c4

I would like to caluclate it manually though. I don't want to use an online calculator. Already knew those existed.

 

[nasu]

So you want to solve the equation for A? And what do you mean by "there will be no neck"?

 

[pmacias]

Hello,

Thank you for your question. The Helmholtz calculation equation, also known as the Helmholtz resonator equation, is used to calculate the resonant frequency of a cavity or chamber, such as a port in a speaker or musical instrument. This equation takes into consideration the volume of the cavity, the cross-sectional area of the opening (or port), and the speed of sound.

To use this equation to determine the necessary port width for a specific frequency, you will need to rearrange the equation to solve for the port width. This can be done by dividing both sides of the equation by the volume and then taking the square root of both sides. The resulting equation will be:

W = √(A*λ/π)

Where W represents the necessary port width, A is the cross-sectional area of the opening, and λ is the wavelength of the desired frequency. To use this equation, you will need to convert your volume measurement to cubic meters, the cross-sectional area to square meters, and the desired frequency to meters (using the speed of sound).

As for units, it is important to be consistent in your measurements. If you choose to use cm for all measurements, that should be fine as long as you convert the values to the appropriate units (meters) before plugging them into the equation. However, it is always recommended to use the base SI units (meters, kilograms, seconds) for more accurate calculations.

I hope this helps you in your calculations. If you are still having trouble, I suggest seeking help from a math tutor or consulting with a colleague who is more comfortable with math. Best of luck with your project!