The ratio of displacement along the diameter of the circle and the total distance along the circle is:
Correct answer: A. 1:π
- A. 1:π
- B. π:1
- C. 2:π
- D. π:2
Explanation
Since the diameter of the circle is unknown, we can assume it to be 2r, where 'r' is the radius of the circle. The total distance along the circle refers to the circumference of the circle, which, mathematically, is 2πr. The ratio of the two values would be 2r:2πr, which can be simplified to 1:π.
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About Angular Displacement
Angular displacement measures the change in a body’s angular position and is expressed in radians or degrees, with anticlockwise and clockwise directions assigned signs. It connects to arc length, angular velocity and angular acceleration, and must be distinguished from ordinary linear displacement in rotational motion.
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