How fast is wave travelling from graph

[negation]

Homework Statement

The figure shows the displacement y of a traveling wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position. How fast is the wave traveling?

The Attempt at a Solution

I'm totally lost with this question. How should I approach this?

v = λ/ T

 

[collinsmark]

Homework Statement

The figure shows the displacement y of a traveling wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position. How fast is the wave traveling?


View attachment 67578

The Attempt at a Solution

I'm totally lost with this question. How should I approach this?

v = λ/ T

You've nailed it with your relevant equation. (By that I mean your "v = λ/T" equation is exactly the one you want to use.)

With one of the graphs, you should be able to figure out the wavelength, λ. In other words, answer, "how long is one wavelength?" Still in other words, "how many meters is one period of the wave?"

With the other graph, you should be able to figure out the period of the wave. In other words, answer, "how long does it take (in seconds) for the wave to cycle through one wavelength?" Or, "how many seconds is one period?"

 

[negation]

You've nailed it with your relevant equation. (By that I mean your "v = λ/T" equation is exactly the one you want to use.)

With one of the graphs, you should be able to figure out the wavelength, λ. In other words, answer, "how long is one wavelength?" Still in other words, "how many meters is one period of the wave?"

With the other graph, you should be able to figure out the period of the wave. In other words, answer, "how long does it take (in seconds) for the wave to cycle through one wavelength?" Or, "how many seconds is one period?"

Been very busy lately and it struck me that I left out thinking about this question.

lamda = 3m
T = 4s
v = 3/4 = 0.75ms^-1

Very sure this is correct.

 

[collinsmark]

'Looks correct to me.

 

[HalfLostAndSearching]

= (y2-y1) / (t2-t1)

To determine the speed of a wave, we can use the formula v = λ/ T, where v is the speed, λ is the wavelength, and T is the period. In this case, we can use the graph to find the wavelength and the period. The wavelength can be found by measuring the distance between two consecutive peaks or troughs on the displacement vs. position graph. The period can be found by measuring the time it takes for the wave to complete one full cycle on the displacement vs. time graph. Once we have these values, we can plug them into the formula v = λ/ T to calculate the speed of the wave.