The linear and angular velocities of a particle moving about the centre of a circle of radius r, are related by
Correct answer: A. v = ω * r
- A. v = ω * r
- B. r = v / ω
- C. v = r / ω
- D. ω = v / r
Explanation
The correct answer is v = ω * r. This formula directly relates the linear velocity v, angular velocity ω, and radius r in circular motion. The linear velocity of a particle moving in a circle is determined by the product of its angular velocity and the radius of the circle. The other options provide incorrect rearrangements or interpretations of the formula, leading to inaccurate relationships between linear and angular velocities.
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About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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