Simple Harmonic Motion
By: Hunter McCabe
partnered with: Kyle Collines
date finished: 5-14-2015
partnered with: Kyle Collines
date finished: 5-14-2015
Experimental technique:
The purpose of this lab is to explore the velocity of waves on a vibrating string under tension.
Theory:
Standing waves are defined as
-"a vibration of a system in which some particular points remain fixed while others between them vibrate with the maximum amplitude."- The fixed points at the end of the nods are called nods. The sound produced is called hormonic and overtones. the first harmonic is the fundamental and the first overtone is the second hormonic and so on. velocity can be found one of two ways: Ft is force from tension Mu is density lambda is wavelength
f is frequency |
Experimental technique:
1.) attach wave oscillator to table
2.) attach wheel to other end of table
3.) cut rope to the length of the table
4.) tie the rope to the wave oscillator
5.) check to make sure the line is straight from the wave oscillator to the wheel.
6.) attach a mass hanger and find the mass with the most possible waves.
7.) when the nods have stabilized mark the cord and its contact point to the wheel
8.) repeat steps 6 and 7 recording all data for each number of waves.
9.) then once all data is gathered cut the string so only the cord that is used is left
10.) mass the string for each number of waves and cut off the extra for each wave measurement to get an accurate measurement
2.) attach wheel to other end of table
3.) cut rope to the length of the table
4.) tie the rope to the wave oscillator
5.) check to make sure the line is straight from the wave oscillator to the wheel.
6.) attach a mass hanger and find the mass with the most possible waves.
7.) when the nods have stabilized mark the cord and its contact point to the wheel
8.) repeat steps 6 and 7 recording all data for each number of waves.
9.) then once all data is gathered cut the string so only the cord that is used is left
10.) mass the string for each number of waves and cut off the extra for each wave measurement to get an accurate measurement
Data:
Analysis:
mass equation
wave length equation
velocity equation
|
velocity equation
|
percent difference equation
|
Conclusion:
The lab has as error in the cord because of the starch in the cord could produce irregularities in the cord. The way the knot was tied in the experiment caused error because it was not tied tight to the wave oscillator so some of the wave was reflected back after only an inch or so. even with the barrier in the string from the knot a vary low percent difference was found for the velocity.
References:
Giancoli, D. (2009). Physics for Scientists and Engineers (4th ed.). Chapter 15 - Wave Motion. Upper Saddle River, N.J.: Pearson Prentice Hall.
Lahs Physics. "Standing Waves Lab". Retrieved May 13, 2015 from www.lahsphysics.weebly.com
Collins, K. (n.d.). Standing Waves Lab. Retrieved May 14, 2015, from http://kcollinsphysics.weebly.com/standing-waves-lab.html Standing Wave
Definition. (n.d.). Retrieved May 13, 2015, from https://www.google.com/search?q=standing wave definition&ie=utf-8&oe=utf-8
Lahs Physics. "Standing Waves Lab". Retrieved May 13, 2015 from www.lahsphysics.weebly.com
Collins, K. (n.d.). Standing Waves Lab. Retrieved May 14, 2015, from http://kcollinsphysics.weebly.com/standing-waves-lab.html Standing Wave
Definition. (n.d.). Retrieved May 13, 2015, from https://www.google.com/search?q=standing wave definition&ie=utf-8&oe=utf-8