Your problem is still rather vague. What two wave forms are you trying to add together? Is V1 one of the wave forms being added, or is it the sum?Rian said:Homework Statement
We've been given an assignment in civil engineering with this question which we can't solve as the tutor hasn't explained it and has subsequently gone off sick with no replacement!
The question is to show graphically and by vector addition, the result of adding the two waveforms, such that:
v1=200sin(ωt)
The problem is where the hell do we start with it?
Any help much appreciated!
Homework Equations
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The Attempt at a Solution
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I trust that you can produce V1 + V2 graphically. Both waveforms have the same amplitude and period, although V2 is shifted.Rian said:oh no! apologies, I thought I had copied the second part in - I was rushing, put a "D" on my head and put me in the corner lol
I should have put:
v1=200sin(ωt)
v2=200sin(ωt+π÷2)
I hope this helps!
Graphical/vector addition is a method used to combine two or more waveforms by adding their individual displacement values at each point in time. This results in a new waveform that represents the combined motion of the individual waveforms.
To perform graphical/vector addition, the individual waveforms are plotted on a graph with their respective displacement values on the y-axis and time on the x-axis. The values at each point in time are then added together to create a new waveform.
The purpose of graphical/vector addition is to analyze and understand the combined motion of multiple waveforms. It allows scientists to study the effects of interference and superposition on wave behavior.
Yes, graphical/vector addition can be applied to any type of waveform, including sound, light, and electromagnetic waves. It is a fundamental concept in the study of wave mechanics and is used in various fields of science and engineering.
While graphical/vector addition is a useful tool for analyzing wave behavior, it has some limitations. It assumes that the waveforms being added are traveling in the same medium and at the same speed, which may not always be the case. Additionally, it does not take into account the effects of nonlinear or complex wave interactions.