Stereo and home theater physics problem for fun

In summary, the conversation discusses the force exerted on a subwoofer enclosure when at max excursion. The known parameters include an 18" Ultimax subwoofer with an xMech of 2" peak to peak, a weight of 1.5 pounds for the moving parts, and a sine wave of 20 hz. The weight of the entire subwoofer is 44.3 pounds and the weight of the wooden enclosure is 61.25 pounds. The main question is regarding the force exerted on the baffle of the enclosure when the subwoofer is in use. One suggestion for finding this force is to model it as a simple harmonic oscillator and use the relation between omega, k, and m to
  • #1
MetropolisLake
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Some of us are big time into home theater stuff and recently a question came up that I figured somebody here could solve if they wanted to.

Basically I'm wanting to know the force exerted on a subwoofer enclosure when at max excursion.

Some of the known parameters:
this is for an 18" Ultimax subwoofer.
It has an xMech of a little over 2" peak to peak, so it can travel 1" in both directions.
The sum of the moving parts including the cone, spider, voice coil, etc., is about 1.5 pounds.
We would be feeding it a sine wave of 20 hz.
weight of the entire sub including magnet, basket, etc., is 44.3 pounds, if that matters
weight of the wooden enclosure it is going in is 61.25 pounds, if that matters

So basically when 1.5 pounds of mass is going back and forth 2" and 20 times a second in this situation due to a sinewave signal, while being attached to a stationary basket, magnet, and enclosure weighing another 104.05 pounds, what kind of force is being exerted on the baffle of the enclosure? It's basically like trying to predict the recoil of a rifle. Not sure if it is possible or easy.
 
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  • #2
I would be tempted to model it as a simple harmonic oscillator, and use the relation between omega, k and m derived from the differential equation for an SHO to solve for k. Then you know the force that a spring exerts on an object. ;)
 

1. What is stereo and home theater physics?

Stereo and home theater physics is the study of the physical principles behind the functioning of audio equipment, such as speakers, amplifiers, and other components, in order to understand how sound is produced and perceived in a home entertainment setting.

2. How do stereo and home theater systems produce surround sound?

Stereo and home theater systems use a combination of speakers, amplifiers, and signal processing techniques to create a surround sound experience. The speakers are positioned strategically around the room to capture and project different sound channels, and the amplifiers power these speakers to produce the desired volume and clarity. Signal processing techniques, such as Dolby Digital or DTS, are used to encode and decode the audio signal to create an immersive surround sound experience.

3. What is the difference between stereo and home theater sound?

Stereo sound refers to the use of two speakers to produce a left and right audio channel, while home theater sound typically involves multiple speakers placed around the room to create a more immersive and realistic audio experience. Home theater systems also often utilize subwoofers for low-frequency sound, which is not typically found in stereo setups.

4. Can the room's acoustics affect stereo and home theater sound?

Yes, the room's acoustics, including its size, shape, and materials, can significantly impact the sound produced by stereo and home theater systems. For example, a large, open room with hard surfaces may cause sound to bounce around and create echoes, while a smaller, more enclosed space with softer surfaces may absorb sound and result in a more muffled or dull listening experience.

5. How can I improve the sound quality of my stereo and home theater system?

There are several ways to improve the sound quality of your stereo and home theater system. These include investing in high-quality speakers and amplifiers, properly positioning and calibrating your speakers, and optimizing the acoustics of your room through the use of sound-absorbing materials or acoustic treatments. Additionally, regularly maintaining and cleaning your equipment can also help to improve sound quality over time.

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