3. A one-dimensional harmonic wave, which propagates in a medium with a speed of 400 m², is described by the following mathematical expression: y(x,1)=3 sen(kx-2007t+) cm where x and t are in m and s, respectively. Knowing that y(0, 0) = 1.5 cm and that the speed of oscillation at t= 0 and x = 0 is positive, find: a. The wave number k and the initial phase o b. The maximum acceleration of oscillation of a generic point of the x axis.

3. A one-dimensional harmonic wave, which propagates in a medium with a speed of 400 m², is described by the following mathematical expression: y(x,1)=3 sen(kx-2007t+) cm where x and t are in m and s, respectively. Knowing that y(0, 0) = 1.5 cm and that the speed of oscillation at t= 0 and x = 0 is positive, find: a. The wave number k and the initial phase o b. The maximum acceleration of oscillation of a generic point of the x axis.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 12PQ: The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0...

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Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

3. A one-dimensional harmonic wave, which propagates in a medium with a speed of 400
m², is described by the following mathematical expression:
y(x,1)=3 sen(kx-2007t+) cm
where x and t are in m and s, respectively. Knowing that y(0, 0) = 1.5 cm and that the
speed of oscillation at t= 0 and x = 0 is positive, find:
a. The wave number k and the initial phase po
b.
The maximum acceleration of oscillation of a generic point of the x axis.

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