Find Maximum Transverse velocity of string

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To find the maximum transverse velocity of a string with fixed ends, a pulse traveling at 40 m/sec with a wavelength of 2 meters and amplitude of 0.1 m is analyzed. The wave equation y=A*Sin(kx-wt) is used, where k is determined to be π from the relationship between wavelength and wave number. The user struggles to calculate angular frequency (ω), which is essential for determining maximum velocity. The relationship ω=2π/T is noted, but the period (T) is not provided, leaving the user seeking further guidance. Understanding these relationships is crucial for solving the problem effectively.
aseylys
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Homework Statement


For a string of length 100m with fixed ends, a pulse is traveling to the right at a speed of 40 m/sec. The pulse has a wavelength of 2 meters and an amplitude of .1 m.


Homework Equations


y=A*Sin(kx-wt) ((where w is omega))
\lambda=2*pi/k
frequency=w/2pi
Velocity=w/f
Velocity=f/\lambda
V_max=w*A



The Attempt at a Solution


So I plugged in as much as I could:
y=A*Sin(kx-wt)
\lambda=2 so 2=2pi/k ==> k=pi (?)

I can't figure out how to get w (omega). So I'm kinda stuck at a dead end. Anyone have any suggestions?
 
Last edited:
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ω= 2∏/T radians per second
 

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