In a circular path body moving along the circumference of a circle completes two revolutions. If the radius of the circle is r, the total angular displacement covered is
Correct answer: D. 4πr
- A. πr
- B. 2πr
- C. Zero
- D. 4πr
Explanation
When a body completes two full revolutions in a circular path, it means it has moved around the entire circumference of the circle twice. The angular displacement is the angle in radians through which the body has moved around the circle.The formula to calculate the angular displacement is:Angular Displacement (θ) = (Number of Revolutions) * 2πIn this case, the number of revolutions is 2, and we know that 2π is the equivalent of one complete revolution.θ = 2 * 2πθ = 4πSo, the total angular displacement covered by the body is 4π radius.The other options are incorrect because they do not consider the number of revolutions completed in the circular path.
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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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