find angular displacement in π rotation
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Answer:
For example, if the body rotates around a circle of radius r at 360o, then the angular displacement is found by the distance traveled around the circumference. This is found by 2πr, divided by radius θ = 2πr/r. In simplistic terms, it can be denoted as θ=2π, where 1 revolution is 2π radians.
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Angular displacement in π rotation
Explanation:
- Angular displacements of a body is the angle in radians, degree or revolutions through which a point revolves around a center or a specified axis in a specified sense.
- If the body rotates around a circle of radius r at 360o, then the angular displacement is found by the distance traveled around the circumference.
- This is found by 2πr, divided by radius ⊕= 2πr/r.
- In simplistic terms, it can be denoted as ⊕ = 2π, where 1 revolution is 2π radius.
- Angular displacements is measured in units of radians, Two pi radians equals 360 degrees.
- In general, the length of the circular path s is equal to the radius r times the angular displacement phi, expressed in radius.
- This is some sense parallel to the distance v displacement question in linear motion.
- The angle difference between the final and initial configuration can't be more than 360 degrees or 2π radians.
- Finite angular displacements are not vector quantities, the reason being that do not obey the law of vector addition.
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