What Is the Phase Constant of the Wave?

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The discussion revolves around determining the amplitude and phase constant of a wave based on a provided diagram. The amplitude is related to the vertical axis measurement of 8 cm, while the horizontal axis indicates a time period of 3 seconds. Participants suggest using the wave equations x(t) = A sin(ωt + φ) or x(t) = A cos(ωt + φ) to find the phase constant. There is a need for clarification on which equation to use based on the context of the problem. The conversation highlights the importance of accessible diagrams for solving such wave-related questions.
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Homework Statement


If the vertical axis blocks are 8 cm each and the horizontal axis blocks are 3 s each, what is the amplitude (in cm) of the wave shown in the diagram

http://i54.tinypic.com/2ilngr9.gif

What is the phase constant (in degrees) of the oscillation in the diagram?

Homework Equations


Ø = wt + Ø0

The Attempt at a Solution


I have nooooo idea where to start

I got that w is 0.35, but I don't know about Ø or Ø0
 
Last edited:
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I have nooooo idea where to start
Perhaps you could start by posting a diagram that is accessible and is not at a site that needs your userID and password.
 
kuruman said:
Perhaps you could start by posting a diagram that is accessible and is not at a site that needs your userID and password.

Sorry! I didn't realize it required a password

2ilngr9.gif
 
Excellent. The phase is the argument of a sine or cosine. You could write the expression that you are seeking in two ways,

1. x(t) = A sin(ωt+φ)
2. x(t) = A cos(ωt+φ)

Which of the two do you think the question wants you to use? You could use either one, each expression will have the same A and ω, but different φ. So if you are required to give an answer to a computer program, you have to know which expression it expects.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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