A standing wave on a string is described bythe wave function y(x,t) = (5 mm)%3Dsin(4ttx)cos(30Tt). The wave functions ofthe two waves that interfere to produce thisstanding wave pattern are:y1(x,t) = (6 mm) sin(4rtx - 30rt) and y2(x,t)= (6 mm) sin(4rtx + 30t)%3Dy1(x,t) = (2.5 mm) sin(4Tx - 30Ttt) andy2(x,t) = (2.5 mm) sin(4Ttx + 30nt)y1(x,t) = (1.5 mm) sin(4rtx - 30nt) andy2(x,t) = (1.5 mm) sin(4rtx + 30nt)y1(x,t) = (3 mm) sin(4rtx-30rtt) and y2(x,t)= (3 mm) sin(4TIX + 30nt)%3Dy1(x,t) = (3 mm) sin(4Ttx-30nt) and y2(x,t)= (3 mm) sin(4rx - 30t)%3D%3D

given standing wave equation = y = (5mm) sin(4π x) cos (30π t)

Answered: A standing wave on a string is…

A standing wave on a string is described by the wave function y(x,t) = (5 mm) sin(4Ttx)cos(30Tt). The wave functions of the two waves that interfere to produce this standing wave pattern are:

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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Question

A standing wave on a string is described by
the wave function y(x,t) = (5 mm)
%3D
sin(4ttx)cos(30Tt). The wave functions of
the two waves that interfere to produce this
standing wave pattern are:
y1(x,t) = (6 mm) sin(4rtx - 30rt) and y2(x,t)
= (6 mm) sin(4rtx + 30t)
%3D
y1(x,t) = (2.5 mm) sin(4Tx - 30Ttt) and
y2(x,t) = (2.5 mm) sin(4Ttx + 30nt)
y1(x,t) = (1.5 mm) sin(4rtx - 30nt) and
y2(x,t) = (1.5 mm) sin(4rtx + 30nt)
y1(x,t) = (3 mm) sin(4rtx-30rtt) and y2(x,t)
= (3 mm) sin(4TIX + 30nt)
%3D
y1(x,t) = (3 mm) sin(4Ttx-30nt) and y2(x,t)
= (3 mm) sin(4rx - 30t)
%3D
%3D

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