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A particle is moving in a circle of radius $r = 2 \text{ m}$ with a constant angular velocity of $\omega = 3 \text{ rad/s}$. What is the linear velocity $v$ of the particle in $\text{m/s}$?
- A.3
- B.6
- C.9
- D.1.5
Show correct answer & step-by-step solution
Correct answer: B — 6
Solution
The linear velocity is related to angular velocity by the formula . Substituting the given values, .
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