# Wave Motion On A String

by aa1515
Tags: motion, string, wave
 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?!
 Mentor P: 11,912 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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