Which of the following gives the relationship between linear velocity and angular velocity?
Correct answer: A. v = rω
- A. v = rω
- B. v = rθ
- C. v = sω
- D. v = sθ
Explanation
Tangential (linear) speed v at radius r is related to angular speed ω by v = r ω. This is the standard kinematic relation between linear and angular motion.
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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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