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. r(π/6)
- A. r(π/3)
- B. r(π/6)
- C. r(π/30)
- D. r(π/180)
Explanation
The dispance through which any point on the rim moves is equal to the the distance the rim has rolled, S. S = rθ where θ is angle in radians Convert 30° to radians 30 x π/180 = π/6 S = r(π/6)
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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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