- #1
orange03
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How do you convert radians to meters?? Is it even possible?
Radians to Meters: Conversion & Possibilities
- Thread starter orange03
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SUMMARY
Converting radians to meters is achievable through the formula arc-length = rθ, where r represents the radius in meters and θ is the angle in radians. This formula establishes a direct relationship between angular displacement and linear displacement. To obtain a length in meters from radians, the radius must be known. Thus, the conversion is possible when the radius is provided.
PREREQUISITES- Understanding of angular displacement and linear displacement
- Familiarity with the formula arc-length = rθ
- Basic knowledge of radians and their application in geometry
- Concept of radius in the context of circular motion
- Research the applications of arc-length in physics and engineering
- Explore the relationship between radians and degrees for angular measurements
- Learn about circular motion and its mathematical representations
- Study the implications of radius in various geometric contexts
Students in mathematics and physics, engineers working with circular motion, and anyone interested in the conversion of angular measurements to linear distances.
- #2
rock.freak667
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That would be converting an angular displacement to a linear displacement. You'd need more data to find a length given an angle in radians.
- #3
tiny-tim
Science Advisor
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orange03 said:
Hi orange03!
arc-length = rθ (with θ in radians),
so if r is in metres, then the arc-length will be in metres also.