Consider two sinusoidal waves traveling along a string, modeled asy,(x,t) = (0·3m)sin([4m¯¹³]x+ [3s¯¹³]t) and y2(x,t) = (0·6m)sin([8m¯¹³]x− [6s¯¹³]t).What is the height of the resultant wave formed by the interference of the two waves at the positionx=1.3 m at time t=0.3 s?y(1.3 m, 0.3 s)Note: Assume the phase is in radians.m

Step 1: here we have calculated the superposed wave Step 2: here we have calculated the displacement…

Answered: Consider two sinusoidal waves traveling…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Two identical sinusoidal waves with wavelengths of 1.5 m travel in the same direction at a speed of 10 m/s. If the two waves originate from the same starting point, but with time delay ∆t between them, and with resultant amplitude A_resultant = √3 A then ∆t will be equal to
Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(21.0 mm)sin(6.70πt - 1.16πx) and y2=(39.0 mm)sin(3.70πt + 0.211πx). Note that the phase angles (6.70πt - 1.16πx) and (3.70πt + 0.211πx) are in radians, t is in seconds, and x is in meters. At t = 2.10 s, what is the net displacement (in mm) of the string at (a) x = 2.25 m and (b) x = 2.54 m? Be sure to include the algebraic sign (+ or -) with your answers.
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Two sinusoidal waves in a string are defined by the wave functions Yn = 2.00 sin(20.0r – 32.01) Y = 2.00 sin(25.0r – 40.0t) where r, y1 and y2 are in centimeters, t is in seconds and the angles are measured in radians. (a) What is the phase difference between these two waves at the point r = 5.00 cm at t = 2.00 s. Give your final answer in degrees between 0° and 360°. (b) What is the positive a value closest to the origin for which the two phases differ by +r at t = 2.00 s resulting in a zero displacement? Show all your workings and explain your reasoning.
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