If a wheel of radius r turns through an angle of 30o, then the distance through which any points on its rim moves is:
Correct answer: B. π/6r
- A. π/3r
- B. π/6r
- C. π/30r
- D. π/180r
Explanation
When a wheel of radius r turns through an angle of 30 degrees, the distance any point on its rim moves can be calculated using the formula for arc length: Arc Length (s) = (θ/360) * 2πr. Substituting θ = 30 degrees into the formula gives s = (1/12) * 2πr = (π/6) * r. Therefore, the correct distance any point on the wheel's rim moves is π/6 times the radius of the wheel.
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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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