A standing wave is established in a string and can be described by the equation: y(x, t) = 3.72 sin(14.1x) cos(1090r) cm. Where x is in m and t is in s. Part 1) Write an equation to describe the movement of an increment of string at x = 0.950 m as a function of time. y(t) = cos( cm Part 2) What is the maximum speed of a piece of string at x = 0.950 m? Vmax m/s Part 3) What is the wavelength of this standing wave?

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 17PQ: A standing wave on a string is described by the equation y(x, t) = 1.25 sin(0.0350x) cos(1450t),...
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A standing wave is established in a string and can
be described by the equation:
y(x, t) = 3.72 sin(14.1x) cos(1090r) cm.
Where x is in m and t is in s.
Part 1)
Write an equation to describe the movement of an
increment of string at x = 0.950 m as a function of
time.
y(t) =
cos(
cm
Part 2)
What is the maximum speed of a piece of string at
x = 0.950 m?
Vmax
m/s
Part 3)
What is the wavelength of this standing wave?
Transcribed Image Text:A standing wave is established in a string and can be described by the equation: y(x, t) = 3.72 sin(14.1x) cos(1090r) cm. Where x is in m and t is in s. Part 1) Write an equation to describe the movement of an increment of string at x = 0.950 m as a function of time. y(t) = cos( cm Part 2) What is the maximum speed of a piece of string at x = 0.950 m? Vmax m/s Part 3) What is the wavelength of this standing wave?
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