Relation between linear velocity and angular velocity:
Correct answer: A. v=rw
- A. v=rw
- B. r=vw
- C. s=r
- D. ∆s/∆t
Explanation
For a point at distance r from the axis, linear speed is related to angular speed by v = rω, where v is in m/s, r is in m, and ω is in rad/s. The likely mistake is choosing r = vω, which reverses the relation and also gives inconsistent units.
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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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