If a wheel of radius r turns through an angle of 30° then the distance through which any point on its rim moves is______________?
Correct answer: B. π/6 x r
- A. π /3 x r
- B. π/6 x r
- C. V/30 x r
- D. π / 180 x r
Explanation
The arc distance travelled by a point on the rim is s = rθ, with θ measured in radians. Since 30° = 30π/180 = π/6 rad, s = r × π/6 = πr/6. Students may choose πr/3 by incorrectly converting 30° to π/3 rad.
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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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