Angles Transversed with Centripetal Acceleration

AI Thread Summary
The discussion centers on calculating the radius of curvature for a proton in a uniform magnetic field, focusing on the angle of exit and its relationship to the radius. The user believes there is an incorrect assumption regarding the angle formed by the radii at the entry and exit points of the proton's path. They argue that this angle should not equal the angle of exit velocity relative to the ground, supporting their claim with geometric reasoning. Clarification is sought on the definitions of variables like "h" and "d" in the context of the problem. The conversation emphasizes the need for precise understanding of angles and their implications in physics problems involving centripetal acceleration.
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Homework Statement


Okay, so the problem is I need to find the radius of curvature for a proton moving through a uniform magnetic field with initial velocity v for some distance d and exiting at angle θ. I was able to get the correct answer; however, I think the apparent assumption made by the person making this problem is wrong.

Homework Equations



sin θ = opposite/hypotenuse.

The Attempt at a Solution



[PLAIN]http://img715.imageshack.us/img715/4710/diagram2.png

This is what I think is wrong.

[PLAIN]http://img194.imageshack.us/img194/6984/diagram1l.png

This is why I think it is wrong.

If my diagrams need to be further explicated, don't hesitate asking.
 
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What exactly do you think it's wrong ? State it with words...
What is "h" ? The total length of the path ?
 
h is the height it exits at. It's solved for using the radius. d is the distance it travels along the x-direction.

What I think is wrong is the angle at the top left of the first diagram. According to the correct answer, it appears that the angle the two radii make at the enter and exit points is equal to the angle the exit velocity makes relative to the ground. I used geometry to show why I don't believe that is actually the angle.
 
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