A body moving along the circumference of a circle completes two revolutions. If the radius of the circular path is R, then the total angular displacement covered is?
Correct answer: D. 4π
- A. πr
- B. 2πr
- C. Zero
- D. 4π
Explanation
Angular displacement is the shortest angle between the initial and the final position for an object in a circular motion around a fixed point. θ = S/r. So here, 2 revolutions = 2πr X 2= 2(π)(R) X 2 = 24πr. If radius r = R. 2 revolutions will cover a distance, S = 4πR. θ = S/r. θ = 4πR/R. θ = "4π".
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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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