(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A wire that is 10 m long and has a uniform density(u) of 7.75 g/cm^3 is pulled to a tension of F=80 N. The wire, however, does not have a uniform thickness; rather, it varies uniformly from an initial radius of 1mm to a radius of 3mm where it is attached to a wall. If you send a wave pulse down the length of the string, how long does it take to reach the wall?

2. Relevant equations

v = sqrt(F/u)

u = m/L (m= mass, L= length)

3. The attempt at a solution

If I could find the volume of the wire, then I could determine the mass of the string, and the velocity of the pulse using the equations above. From there, once I had the velocity, since the units were m/s, I would divide by the distance to find the time it would take for the pulse to reach the wall. (Does this logic make sense?)

But how would I determine the volume?

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# Homework Help: Speed of a Transverse Wave

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