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Questions and Answers
What is the name of the angle made by the position vector at any instant with the reference line OX?
What is the unit of measurement for the radial angle?
How is a radian defined in terms of the circle's radius and arc length?
What is the dimension of the radial angle?
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Study Notes
Position Vector and Angles
- The angle made by the position vector at any instant with the reference line OX is known as the radial angle.
Measurement of Radial Angle
- The unit of measurement for the radial angle is the radian.
Definition of Radian
- A radian is defined as the angle subtended at the center of a circle by an arc length equal to the radius of the circle.
- Mathematically, if the radius is r and the arc length is also r, then the angle in radians is 1 radian.
Dimension of Radial Angle
- The dimension of the radial angle is dimensionless because it is a ratio of two lengths (arc length and radius).
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Description
Test your understanding of the concepts related to the radial angle and angular displacement in physics. This quiz covers the definition, unit, and dimension of the radial angle, as well as its relation to the position vector of a particle.
