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PatreMagnus
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what is phase constant and how is possible to go about figuring it out in an unscaled graph that has no values associated with it.
PatreMagnus said:@ehild
Does it matter which function I use when considering sinusoidal waves?
You need to give the phases in radians. The first answer is right, D is about half of the amplitude and the curve is shifted to the left by about 1/3 units. The period is about 4 unit, 1/3 unit corresponds to 2pi/12=pi/6=Φ0.PatreMagnus said:I'm sorry about not giving enough details, as I have found out from the out set this forum has strict rules.
The image attached is from a workbook that I bought to provide a clearer understanding of the concepts I read. it is not an assignment.
I'm totally confused and frustrated with questions 19 and 20.
for question 19: it says that there're three waves traveling to the right, the first two shown at t=0 and the third at t=T/2
I think the answer is pi/6
reasoning being that for a sinusoidal wave, a description can be given by this formula.
D(x,t)=Asin(kx-wt+phi)
so, when x=0 and t=0
phi=(Sin(D(0,0)/A)^-1
From my understand a phase constant indicates how much of the wave to left of the origin is there, where by the answer is given in radians.
Therefore, for the first graph I say that the graph started when it was 30 deg into the graph.
PatreMagnus said:As for the second graph I'm tempted to say the same thing, but the fact that it is reflected and doesn't look like a normal sine/cosine graph confuses the matter more.
PatreMagnus said:For the third graph, I have my thoughts about it, but doesn't lead me to an answer.
For question 20: It says that A sinusoidal wave with wavelength 2m is traveling along the x-axis. At t=0s the wave's phase at x=2 is pi/2
I'm thinking that the graph would look like a cosine graph and negatively reflected, and I'm also suspecting that there could be various answers.
A phase constant is a value that represents the starting point of a periodic function, such as a sine or cosine wave. It is often denoted by the symbol phi (Φ).
The amplitude of a wave represents its maximum displacement from the mean position, while the phase constant represents the starting point of the wave. It is similar to the concept of a reference angle in trigonometry.
The phase constant is typically calculated using trigonometric functions and the known values of the wave, such as its frequency and period. It can also be determined from a graph of the wave.
The phase constant is important in understanding the behavior of waves and their interference. It can also affect the timing and synchronization of wave signals in communication systems.
Yes, the phase constant can change if there is a change in the frequency or period of the wave. It can also be altered by external factors such as reflections or refractions.