STANDARDPhysics-Rotational Motion

STANDARD Physics Angular Velocity and Linear Velocity MCQ Question

Type: MCQ-numerical-Medium

A body is rotating with angular velocity ω = (3î - 4ĵ + k̂). The linear velocity of a point having position vector r = (5î - 6ĵ + 6k̂) is

A

6î + 2ĵ - 3k̂

B

18î + 3ĵ - 2k̂

C

-18î - 13ĵ + 2k̂

D

6î - 2ĵ + 8k̂

Correct Answer

Option B

Detailed Explanation

The linear velocity v is given by the cross product v = ω × r. Calculating the cross product gives v = -18î - 13ĵ + 2k̂, which matches option B.

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