Find Maximum Transverse velocity of string

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SUMMARY

The discussion focuses on calculating the maximum transverse velocity of a string with fixed ends, specifically a string of length 100m with a traveling pulse at 40 m/sec. The pulse has a wavelength of 2 meters and an amplitude of 0.1 m. Key equations include the wave function y=A*Sin(kx-wt), where k is the wave number and ω (omega) is the angular frequency. The user is seeking assistance in determining ω to proceed with the calculations.

PREREQUISITES
  • Understanding of wave mechanics and wave equations
  • Familiarity with angular frequency (ω) and its relationship to period (T)
  • Knowledge of wave properties such as wavelength (λ) and amplitude (A)
  • Ability to manipulate trigonometric functions in the context of physics
NEXT STEPS
  • Calculate angular frequency (ω) using the relationship ω=2π/T
  • Explore the derivation of wave number (k) from wavelength (λ)
  • Learn how to apply the formula for maximum transverse velocity (V_max=w*A)
  • Investigate the relationship between frequency (f) and velocity (V) in wave motion
USEFUL FOR

Students studying wave mechanics, physics educators, and anyone involved in solving problems related to wave motion and string dynamics.

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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