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Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the wave function
y = [Cos (100t) Sin (x)]/π
where x and y are in meters and t is in seconds. Determine (a) the wavelength, (b) the frequency, and (c) the speed of the interfering waves.
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- Two waves on one string are described by the wave functions y1= 3.33 cos(2.34x − 1.21t) y2= 3.33 sin(4.37x − 2.57t) where x and y are in centimeters and t is in seconds. (Remember that the arguments of the trigonometric functions are in radians.) (a) Find the superposition of the waves y1+y2 at x = 1.0, t = 0.0 s.The depth to an unusual layer of rock is to be determined at a particular place by bouncing an artificially generated seismic wave off it and receiving the echo at the surface. When this is done, the depth is given by the equation, h = (1/2) v t, in which h is the depth, v is the average velocity of the seismic wave, and t is the time that it takes for the wave to go down to the rock layer and return to the surface. If t = 0.350 +/- 0.10, and v = 2,000 +/- 10. meters per second, what is the possible error in the depth. (Show your work, and remember to express your results in the correct number of significant figures.)Consider two sinusoidal waves traveling along a string, modeled as y,(x, y) = 0.4m sin(3m-1x + 1s-1t) and y2(x, y) = 0.8m sin(9m-1x – 4s-1t). What is the height of the resultant wave formed by the interference of the two waves at the position x = 1.5 m at time t = 0.5 s? Express your answer in m. %3D %3D