Calculating Wave Travel Time Along a String

AI Thread Summary
To calculate wave travel time along a string, the wave's velocity can be determined using the relationship v = λf, where λ is the wavelength and f is the frequency. The time it takes for the wave to travel a distance X can be found using the formula t = d/v, where d is the distance and v is the wave velocity. For a point on the string, once the wave reaches it, the time taken to travel X meters depends on the oscillation amplitude and frequency, as the point moves up and down during oscillation. The discussion emphasizes the need to clarify the difference between wave travel time and the motion of a point on the string. Understanding these relationships is crucial for solving the problem effectively.
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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??
 
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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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