Standing waves (graphing) homework question

In summary, the conversation is about determining the fraction of a wavelength that point C has covered when it coincides with point A. The speaker suggests using an imaginary timer and explains that when point C coincides with point B, 1/4 of the period T is covered. They also clarify that when point C and B meet, 1/1 T is not covered, but rather two wavelengths plus 1/6 of a wavelength.
  • #1
jerad908
11
0
Homework Statement
How much time (as a fraction of the waves' period) passes between point C meeting B then A? (Shown Below in attempt)
Relevant Equations
none
FullSizeRender.jpg

Points A b AND C are shown in first diagram
Im confused about question three... I feel like its related to wave length but the fractions are throwing me off.
 
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  • #2
It is related to the wavelength. Point C travels to the left a distance of one wavelength in time T.
When point C coincides with B, start your timer. What fraction of a wavelength has C covered when it coincides with A? That will tell you what fraction of the period T the timer shows when that happens. Careful!
 
  • #3
but how would we use a timer if only given a diagram
 
  • #4
It's an imaginary timer. This is a "thought" experiment.
 
  • #5
since the wavelength is 6 units and C moves over 6 units to meet B would it just be 1?
 
  • #6
And then when it meets with point A, it further covers 1/4 of T?
 
  • #7
jerad908 said:
And then when it meets with point A, it further covers 1/4 of T?
Correct.
 
  • #8
and just to confirm, when C and B meet, 1/1 T is covered? - (from the very starting position to when C and B have coincided )
 
  • #9
jerad908 said:
and just to confirm, when C and B meet, 1/1 T is covered?
Not what it looks like to me. What is the distance between C and B? I count 13 squares. How many wavelengths is that?
 
  • #10
Thats two wave lengths plus 1/6 of a wavelength
 

FAQ: Standing waves (graphing) homework question

What is a standing wave?

A standing wave is a type of wave that appears to be stationary and does not appear to move through a medium. It is created when two waves with the same amplitude and frequency travel in opposite directions and interfere with each other.

How do you graph a standing wave?

To graph a standing wave, you will need to plot the amplitude of the wave on the y-axis and the position on the x-axis. The graph will consist of peaks and valleys, with the peaks representing the points of maximum displacement and the valleys representing the points of minimum displacement.

What is the equation for a standing wave?

The equation for a standing wave is y = A sin(kx) cos(ωt), where A is the amplitude, k is the wave number, x is the position, ω is the angular frequency, and t is the time.

How do you determine the wave number and angular frequency for a standing wave?

The wave number (k) can be determined by dividing 2π by the wavelength (λ). The angular frequency (ω) can be calculated by multiplying the frequency (f) by 2π.

What is the difference between a standing wave and a traveling wave?

A standing wave appears to be stationary and does not move through a medium, while a traveling wave moves through a medium. Additionally, a standing wave is created by the interference of two waves traveling in opposite directions, whereas a traveling wave is created by a single disturbance traveling through a medium.

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