- #1
mahtab
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what are the dimensions of angles?
Dimensions of Angles - Measurements & Calculations
- Thread starter mahtab
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- Angles Dimensions
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Homework Help Overview
The discussion revolves around the concept of angles and their dimensions, specifically questioning whether angles possess units or dimensions in a mathematical context.
Discussion Character
- Conceptual clarification
Approaches and Questions Raised
- Participants explore the idea that angles may be considered dimensionless, with some suggesting a focus on the relationship between angles and arcs, particularly in terms of radian measure.
Discussion Status
Several participants have provided insights indicating that angles are dimensionless, with references to trigonometric functions and their dependence on dimensionless quantities. The conversation appears to be progressing with clarifications being made.
Contextual Notes
There is an emphasis on understanding angles in relation to arcs and the concept of radian measure, which may suggest a need for further exploration of these relationships.
- #2
HallsofIvy
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Angles don't have units. It might be better to think of angles in terms of arcs. The "radian" measure of an angle is the length of the arc it subtends at a distance r divided by r. Since those are both distance measures, their ratio is "dimensionless".
- #3
tiny-tim
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Welcome to PF!
Hi mahtab! Welcome to PF!
Angles are dimensionless.
Cos, sin, etc, are functions of angles, and, like log, they can only be functions of dimensionless numbers.
mahtab said:
Hi mahtab! Welcome to PF!
Angles are dimensionless.
Cos, sin, etc, are functions of angles, and, like log, they can only be functions of dimensionless numbers.
- #4
mahtab
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thank you HallsofIvy&tiny-tim !:)