How Do Sound Frequencies Create Symmetrical Patterns?

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Symmetrical patterns created by sound frequencies arise from the formation of multiple nodes on a vibrating plate, with higher frequencies resulting in more nodes. At certain frequencies, harmonics stabilize the nodes, allowing salt to accumulate and outline their borders. The mounting method of the plate, whether fixed to a solid object or suspended, also influences the resulting patterns. The discussion draws a comparison between these patterns and crop circles, noting differences in boundary sharpness. The interaction of sound frequencies and physical properties leads to unique visual phenomena.
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The entire plate can't vibrate with a single node at high frequencies, so multiple nodes are formed. The higher the frequency the more the nodes. At most frequencies, the nodes keep moving around, but at some frequencies, due to harmonics, the nodes stablize and don't move. The salt accumulates between nodes where there is little movement, and outlines the borders between nodes.

The patterns also depend on how the plate is mounted (to a solid object, or suspended by wires), and where the plate is mounted (at the center, at the corners, ...)

If you do a web search for vibrating plate salt, you find a lot of links, like this one:

http://www.glenbrook.k12.il.us/GBSSCI/PHYS/CLASS/sound/u11l4c.html
 
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Thanks...nice link, too.
 
Those looked like hyperbolas at the beginning
 
Strangely reminiscent of crop circles. Hmmm...:rolleyes:
 
Danger said:
Strangely reminiscent of crop circles. Hmmm...:rolleyes:
Almost, but notice that the patterns in crop circles have sharp distinct boundaries (i.e. stalks that are flattened are right next to upright ones, there arent usually any that ware partially bent), whereas the resonant patterns dissipate away from the nodes (although quite sharply in some examples)
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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