Calculating Wave Travel Time Along a String

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SUMMARY

The discussion centers on calculating wave travel time along a string, specifically addressing how to determine the time it takes for a wave to travel a distance of X meters. Key formulas mentioned include T = 1/f, λ = v/f, and d = vt. The user has provided values for frequency (f), amplitude (A), wavelength (λ), and period (T), and seeks clarification on the relationship between wave velocity and the time taken for a point on the string to oscillate. The discussion emphasizes the need to understand both wave propagation and oscillatory motion to solve the problem effectively.

PREREQUISITES
  • Understanding of wave properties, including frequency and wavelength
  • Familiarity with wave equations, specifically T = 1/f and λ = v/f
  • Knowledge of basic kinematics, particularly the formula d = vt
  • Concept of oscillatory motion and its relation to wave travel
NEXT STEPS
  • Calculate wave velocity using the formula v = fλ
  • Explore the relationship between wave travel time and oscillation period
  • Investigate the concept of total distance traveled by a point on a string during oscillation
  • Learn about sinusoidal wave functions and their applications in wave mechanics
USEFUL FOR

Students and educators in physics, particularly those focusing on wave mechanics, as well as engineers and researchers involved in wave propagation studies.

sghaussi
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A continuous succession of sinusoidal wave pulses are produced at one end of a very long string and travels along the length of the string.

I am given the frequency, amplitude, and wavelength.

I know: T = 1/f & lamda = v/f & w=2f*pi=vk


I have f, A, lamda, and T. I am also given x.

How long does it take the wave to travel a distance of X meters along the length of the sting?

How long does it take a point ont eh string to travel a distance of X meters once the wave train has reached the point and set into motion?

Can anyone help me start this problem??
 
Last edited:
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do i need to find the velocity function for the first question or the second question? i don't understand how they are related?
 
another formula you should know: d=vt . Here, d is "x." You have enough to find v, so what is t?

I am assuming that the point on the string travels a total "distance" of "X" meters (as opposed to displacement).This direction of t4ravel is up and down. Think: what is the distance that a point on a string will travel in one full oscillation?
 

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