Friday, March 7, 2008
Standing Waves
Q25. The nodes are locations of zero amplitude, so these positions could be touched without disturbing the wave.
Problems:
18. amplitude = 0.3500 meters, frequency = .8754 Hz, period = 1.142 seconds, total energy = .7411 J, KE = .6807 J and PE = .0604 J
51. 440 Hz, 880 Hz, 1320 Hz, 1760 Hz (fn = nv/2L)
53. 70 Hz, 140 Hz, 210 Hz, 350 Hz
55. nodes are always a half wavelength apart from each other - wavelength is 19.37 cm, so nodes are half of this, 9.685 cm.
56. 87.5 Hz, n = 3 and 4 for the given frequencies.
60. m = 4f2L2*mu/(n2g), so m = 1.421 kg, .355 kg, .0568 kg for (a), (b), and (c).
Web sites from today:
http://www.colorado.edu/physics/2000/applets/fourier.html- Constructive/Destructive Interference
http://home.austin.rr.com/jmjensen/JeffString.html
Reflected Waves
http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=19 - Waves traveling in opposite directions making standing waves
Standing Wave - nodes and antinodes
http://id.mind.net/~zona/mstm/physics/waves/standingWaves/standingWaves1/StandingWaves1.html - Vibrating string, standing waves fixed at both ends.
http://www.walter-fendt.de/ph11e/stlwaves.htm - open/closed Tube with standing waves
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