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. πr/6
- A. π/3r
- B. πr/6
- C. π/30r
- D. π/180r
Explanation
Circumference of the circle is 2πr. According to the formula, Arc length = (angle/360°) x 2πr. The angle is 30°. Putting the values, Arc length = distance through which a point on the rim moved = (30/360) x 2πr= πr/6. Hence, option B is the correct option.
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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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