Transverse Waves

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sdb09

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I was wondering if anyone had any insight for a question on transverse waves. The question asked what would you increase in order to increase the speed at which a transverse wave travels on a rope?

The correct answer is tension. I don't understand the relationship as to how that would occur. also I was confused as to why you couldn't increase wavelength becuase of the equation relating v = frequency * wavelength

Thanks!

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whattup cuh?

to answer ya q, basically, theres a formula for velocity of a wave along a perfectly elastic string v= (T/mew)^1/2 where T is tension and mew is da mass per unit length of da string. Velocity also be determined by wavelength, so if dat wuz an answer choice I dunno wut to tell u. *Steven A Smith voice* HOWWWEVAA, id like to hurrr some otha folk elaborate. imma get me some cheese doodles.
 
I think that by adjusting tension you manipulate lambda. So frequency or the amount of cycles per second can increase or decrease by adjusting the tension. The less tense the more wavelengths that can go through a fixed point where in retrospect by tightening the rope you have a longer wavelength or less wavelengths going through a fixed point. Make sense?
 
I guess that still doesn't really answer your question about velocity huh? The post before this had a formula relating the tension and velocity. Seems like when the rope is tight velocity increases. Idk.
 

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