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phy123:lab_8 [2009/11/11 21:14] 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. | ||

+ | |||

+ | [[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.]] | ||

+ | |||

+ | 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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</form> | </form> | ||

</html> | </html> | ||

+ | \\ | ||

+ | |||

+ | 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? |