A child riding on a large merry-go-round travels a distance of 3000m in a circle of diameter of 40m. The total angle through which she revolves is:
Correct answer: C. 150 rad
- A. 50 rad
- B. 75 rad
- C. 150 rad
- D. 314 rad
Explanation
Radius = 20 m, circumference ≈ 2πr ≈ 125.66 m. Number of revolutions ≈ 3000/125.66 ≈ 23.88 ≈ 24. Total angle = 24×2π ≈ 48π ≈ 150.8 rad, so 150 rad is correct.
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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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