The distance between the first and the third nodes of a standing wave is 0.2 m, its maximum displacement is 0.02 m and its frequency is 40 Hz. The wave-functions of the two travelling waves which interfere to give the standing wave are then: y1 = 0.01 sin(5TIX-40rt) ; y2 = 0.01 sin(5Ttx+40nt), y1 = 0.02 sin(20rtx-320rt) ; y2 = 0.02 sin(20tx+320rt), y1 = 0.01 sin(1Otx-80rt) ; y2 = 0.01 sin(10rtx+80tt), y1 = 0.04 sin(20rtx-320nt) ; y2 = 0.04 sin(20Ttx+320rtt), y1 = 0.005 sin(5Ttx-40Ttt) ; y2 = 0.005 sin(5tx+40rt),

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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The distance between the first and the third
nodes of a standing wave is O.2 m, its
maximum displacement is 0.02 m and its
frequency is 40 Hz. The wave-functions of
the two travelling waves which interfere to
give the standing wave are then:
y1 = 0.01 sin(5tx-40rt) ; y2 = 0.01
sin(5Ttx+40rt),
y1 = 0.02 sin(20tx-320nt) ; y2 = 0.02
sin(20Ttx+320nt),
y1 = 0.01 sin(1Otx-80rt) ; y2 = 0.01
sin(10rtx+80rtt),
y1 = 0.04 sin(20rtx-320rt) ; y2 = 0.04
sin(20Ttx+320rtt),
y1 = 0.005 sin(5tx-40nt) ; y2 = 0.005
sin(5Tx+40rt),
Transcribed Image Text:The distance between the first and the third nodes of a standing wave is O.2 m, its maximum displacement is 0.02 m and its frequency is 40 Hz. The wave-functions of the two travelling waves which interfere to give the standing wave are then: y1 = 0.01 sin(5tx-40rt) ; y2 = 0.01 sin(5Ttx+40rt), y1 = 0.02 sin(20tx-320nt) ; y2 = 0.02 sin(20Ttx+320nt), y1 = 0.01 sin(1Otx-80rt) ; y2 = 0.01 sin(10rtx+80rtt), y1 = 0.04 sin(20rtx-320rt) ; y2 = 0.04 sin(20Ttx+320rtt), y1 = 0.005 sin(5tx-40nt) ; y2 = 0.005 sin(5Tx+40rt),
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