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Wave Motion On A String

by aa1515
Tags: motion, string, wave
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aa1515
#1
Dec10-08, 09:44 AM
P: 2
1. The problem statement, all variables and given/known data

A wave travels along a string at a speed of 261 m/s. What will be the speed if the string is replaced by one made of the same material and under the same tension but having twice the radius?

2. Relevant equations

v=squareroot(T/mu) (where T=tension)

mu=m/L (where m= mass and L= length)

3. The attempt at a solution

I'm not sure how I need to manipulate mu to accomadate for twice the radius. Volume would change, but wouldn't mass as well? I thought maybe I would need to use density, but we are not given the density of the string. Do I assume the mass doesn't change because the tension is the same? Fatter strings are supposed to go slower. So I'm really stuck on what to do..Help please?!
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Redbelly98
#2
Dec10-08, 10:12 AM
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Redbelly98's Avatar
P: 12,069
Doubling the radius will change the linear density by a certain factor, which you'll need to figure out. I.e., if the radius is twice as big, then the volume (and hence mass) of a 1 m long string will be larger by what factor?


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