lecture20

# lecture20 - 1 Phys 2101 Gabriela Gonzlez 2 A wave travels,...

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Unformatted text preview: 1 Phys 2101 Gabriela Gonzlez 2 A wave travels, but the particles producing the wave dont! Particles oscillate about a fixed mean position. 2 3 Assume a sinusoidal wave travels in the x-direction. At each point in the x-axis, the transverse motion is in the y-direction, described by a function of time: Wavelength: =2 /k Period: T=2 / Frequency: f=1/T= /2 Velocity: v= /k= /T= f 4 The equation of a transverse wave traveling along a very long string is given by y = 5.8 sin(0.015 x + 3.5 t ), where x and y are expressed in centimeters and t is in seconds. Determine : the amplitude, the wavelength the frequency the speed the direction of propagation of the wave, and the maximum transverse speed of a particle in the string. What is the transverse displacement at x = 3.5 cm when t = 0.26 s? 3 5 Write the equation for a wave traveling in the negative direction along the x axis and having an amplitude of 0.021 m, a frequency of 525 Hz, and a speed of 312 m/s. A sinusoidal wave of frequency 475 Hz has a velocity of 250 m/s. a) What is the phase difference between two displacements at a certain point at times 1.00 ms apart? b) How far apart are two points that differ in phase by /3 rad? y m = 0.021 m = 2 f = 3,300 rad/s k = / v = 10.6 rad/m y ( x , t ) = y m sin( t + kx ) = 0.021 m sin(3,300 rad t /s +10.6 rad x /m) = k...
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## This note was uploaded on 12/01/2011 for the course PHYS 2101 taught by Professor Grouptest during the Fall '07 term at LSU.

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lecture20 - 1 Phys 2101 Gabriela Gonzlez 2 A wave travels,...

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