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MARK STRETERS

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## Homework Statement

Here is the lab overview: In this experiment standing waves are produced in a string using a vibrator of variable frequency. The vibrator is placed under one end of the string which is tied to a rod and the other end of the string passes over a pulley and holds a suspended mass of 550g. The tension in the string can be found from multiplying the mass of the weight (.55kg) by the force of gravity(9.81) and the density of the string is 7.95 x 10^-4 kg/m. The velocity of the wave can be calculated using the equation v= √ Tension/density. So I recorded the frequencies needed for the string to reach its fundamental, 1st, 2nd and 3rd harmonics. The goal of this lab is to prove that velocity=√ Tension/ Density.

Here is the data I recorded

Fundamental= frequency of 18.76

1st Harmonic= 37.34

2nd Harmonic= 55.38

3rd harmonic= 69.81

## Homework Equations

velocity=√ Tension/ Density

## The Attempt at a Solution

So the problem with this lab is that I'm really not sure how to go about starting the process to prove that velocity equation so if anyone could provide any insight it would be much appreciated. What I'm confused about is that it seems like the velocity of the waves would be changing with increasing frequency however I don't see how velocity could be anything but a constant using that function seeing that density will be constant. The only thing that I can think of is that tension somehow changes with increasing frequency but I'm really not sure because it seems like Tension would be a constant given that the mass of the object at the end of the string isn't changing and the force of gravity on the mass certainly isn't changing. Maybe I'm overlooking some simple mistake so any insight would be much appreciated. Thanks!

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