# Differences

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phy123:lab_8 [2009/11/11 21:16]
mdawber
phy123:lab_8 [2009/11/17 17:48] (current)
mdawber
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The purpose of this lab is to study standing waves on a vibrating string. The purpose of this lab is to study standing waves on a vibrating string.
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+[[http://​www.ic.sunysb.edu/​Class/​phy122ps/​labs/​dokuwiki/​pdfs/​lab8worksheet.pdf|Important! You need to print out the 2 page worksheet you find by clicking on this link and bring it with you to your lab session.]]
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+If you need the .pdf version of these instructions you can get them [[http://​www.ic.sunysb.edu/​Class/​phy122ps/​labs/​dokuwiki/​pdfs/​phy123lab8.pdf|here]].

===== Video ===== ===== Video =====

-Coming Soon.+<​flashplayer width=640 height=480>​file=http://​www.ic.sunysb.edu/​Class/​phy122ps/​labs/​phy121vid/​phy123lab8.flv</​flashplayer>​

===== Equipment ===== ===== Equipment =====
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{{lab8fig2.jpg?​600}} {{lab8fig2.jpg?​600}}
+Fig 2.

The equation for the velocity of a travelling wave on a string is  The equation for the velocity of a travelling wave on a string is
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</​WRAP>​ </​WRAP>​
<WRAP column 45%> <WRAP column 45%>
-$\Large \frac{1}{2}\frac{\Delta v}{v}=\frac{\Delta \mu}{\mu}$+$\Large \frac{\Delta v}{v}=\frac{1}{2}\frac{\Delta \mu}{\mu}$
</​WRAP>​ </​WRAP>​
<WRAP column 10%> <WRAP column 10%>
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\\ \\

-Write down the slope of the graph k and it's error. Use this to calculate g the acceleration due to gravity ( From equation (8.7), $k=\frac{3^2}{(2L)^2}\frac{g}{\mu}$). To calculate the error in your measurement of g we neglect the error in L and and use the fact that the relative error in g will be due to the relative error in the slope, $\frac{\Delta k}{k}$, and the relative error in $\mu$, $\frac{\Delta \mu}{mu}$ and from equation (1.7) of Lab 1 will be $\frac{\Delta g}{g}=\sqrt{(\frac{\Delta k}{k})^2+(\frac{\Delta \mu}{\mu})^2}$.+Write down the slope of the graph k and it's error. Use this to calculate g the acceleration due to gravity ( From equation (8.7), $k=\frac{3^2}{(2L)^2}\frac{g}{\mu}$ ). To calculate the error in your measurement of g we neglect the error in L and and use the fact that the relative error in g will be due to the relative error in the slope, $\frac{\Delta k}{k}$, and the relative error in $\mu$, $\frac{\Delta \mu}{\mu}$ and from equation (1.7) of Lab 1 will be $\frac{\Delta g}{g}=\sqrt{(\frac{\Delta k}{k})^2+(\frac{\Delta \mu}{\mu})^2}$.

Once you have your value for g and it's error compare it to the established value. Is it consistent with that? Once you have your value for g and it's error compare it to the established value. Is it consistent with that?