A standing wave with wavelength of 2 m, speed of 20 m/s and amplitude of 2 mm is generated on a taut string. The wavefunction of the standing wave is: y(x,t) = (2 mm) sin(tx)cos(0.1nt) O y(x,t) = (8 mm) sin(rtx)cos(0.1rt) y(x,t) = (4 mm) sin(tx)cos(20nt) %3D y(x,t) = (4 mm) sin(Tx)cos(0.1rt) y(x,t) = (8 mm) sin(tx)cos(20rt) y(x,t) = (2 mm) sin(tx)cos(20nt)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 22PQ
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A standing wave with wavelength of
2 m, speed of 20 m/s and amplitude
of 2 mm is generated on a taut string.
The wavefunction of the standing
wave is:
O y(x,t) = (2 mm) sin(Tx)cos(0.1nt)
%3D
O y(x,t) = (8 mm) sin(Tx)cos(0.1nt)
%3D
O y(x,t) = (4 mm) sin(Tx)cos(20rt)
O y(x,t) = (4 mm) sin(Tx)cos(0.1nt)
%3D
O y(x,t) = (8 mm) sin(TIx)cos(20nt)
%3D
O y(x,t) = (2 mm) sin(Tx)cos(20nt)
%3D
Transcribed Image Text:A standing wave with wavelength of 2 m, speed of 20 m/s and amplitude of 2 mm is generated on a taut string. The wavefunction of the standing wave is: O y(x,t) = (2 mm) sin(Tx)cos(0.1nt) %3D O y(x,t) = (8 mm) sin(Tx)cos(0.1nt) %3D O y(x,t) = (4 mm) sin(Tx)cos(20rt) O y(x,t) = (4 mm) sin(Tx)cos(0.1nt) %3D O y(x,t) = (8 mm) sin(TIx)cos(20nt) %3D O y(x,t) = (2 mm) sin(Tx)cos(20nt) %3D
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