Finding Angle Between Vectors Using Arc Length and Radius

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Homework Help Overview

The discussion revolves around finding the angle between two vectors using given arc length and radius values. The context suggests a potential application of circular motion concepts, specifically relating to angles in a circular arc.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the formula angle = S / R for calculating angles in circular motion, while questioning its applicability to the angle between two vectors. There is a discussion about the necessity of the vectors being on a circle with equal magnitudes for the formula to be valid.

Discussion Status

The discussion is ongoing, with participants examining the assumptions behind the use of the arc length formula. Some guidance has been provided regarding the conditions under which the formula applies, and there is an exploration of the original question's context.

Contextual Notes

There is a noted lack of specific points or additional information about the vectors, which raises questions about the applicability of the arc length approach. Participants are considering the implications of this missing information on the problem's setup.

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Homework Statement


quick question...im given the arc length ( 1m ) and the radius ( 1.5m )...to find the angle between the two vectors...do i just plug into angle=S/R?


Homework Equations



angle = S / R

The Attempt at a Solution


1/1.5= 0.67
 
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Angle between two vectors? If this is for an arc of a circle, then it is applicable. But if it is the angle between two vectors you should be using the dot product.
 
im assuming its for arc of a circle because I am not given any points what so ever...and i am given an arc length. thanks a lot man
 
Problem is, as I said earlier you can only use that formula on if you are certain that the vectors can be placed on some circle such that their lengths (magnitude) are the same. Otherwise it won't work. What is the original question?
 

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