Confused about radial/transverse and normal/tangential

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Homework Help Overview

The discussion revolves around the concepts of radial/transverse and normal/tangential components of motion, specifically in the context of a car's movement along a path that may or may not be circular. Participants are examining the implications of the car's speed being described in different directional terms.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the distinction between transverse and tangential directions, particularly in relation to the car's speed. There is exploration of whether the path can be assumed to be circular based on the diagram provided, and discussions about the implications of that assumption on the problem-solving process.

Discussion Status

The discussion is ongoing, with participants providing insights into the relationship between circular motion and the definitions of speed components. Some guidance has been offered regarding the assumptions that can be made about the path based on the information given, but no consensus has been reached.

Contextual Notes

There is uncertainty regarding the circularity of the path depicted in the problem, which affects how participants interpret the motion and the associated speed components. The original poster's confusion stems from the lack of clarity in the problem statement about the nature of the path.

theBEAST
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Homework Statement


Here is the problem with half the solution:
http://dl.dropbox.com/u/64325990/HW%20Pictures/Capture.PNG

What I don't understand is why the speed = 30ft/s is in the transverse direction (vθ). Shouldn't the speed of the car be in the tangential direction (vt)?
 
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If it's initially moving in a circular path the transverse and the tangential direction are the same.
 
Dick said:
If it's initially moving in a circular path the transverse and the tangential direction are the same.

Oh I see... I am just confused because looking at the path, it does not look circular. Let's say the question did not tell us that the car moves on a "horizontal circular path", instead it just says the car is moving on a "path as shown on the diagram". Then can you assume by looking at this picture it is circular? Could we still do the question?
 
theBEAST said:
Oh I see... I am just confused because looking at the path, it does not look circular. Let's say the question did not tell us that the car moves on a "horizontal circular path", instead it just says the car is moving on a "path as shown on the diagram". Then can you assume by looking at this picture it is circular? Could we still do the question?

I could GUESS it's approximately circular by looking at the diagram. But no, I wouldn't be able to say anything very exact. I wouldn't phrase a question like that.
 
I just seems that in the context of the problem, that it is assumed the motion is initially circular. If it was not however, giving the circular speed should still be enough. At any given instant, the tangential component is the same as the circular component at the given point. In other words it can be assumed to "stop making a circle" at any time because at a particular instant, it does't really matter what you assume. (imagine in the problem instead of being given r, you were given r - x < r, it wouldn't suggest you need assume before it was a circle or not)
 

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