A particle moves in a circle whose radius is 20 cm with a linear speed of $10 m s^{- 1}$ . Then what is the angular velocity?

100 r a d / s

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50 r a d / s

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25 r a d / s

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125 r a d / s

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Solution

The correct option is D $50 r a d / s$
The radius of circular path, $(r) = 20 c m = 0.20 m$
Liner speed of the particle, $(v) = 10 m s^{- 1}$
The angular velocity $= w = \frac{v}{r} = \frac{10}{0.2} = \frac{100}{2} = 50 r a d / s$

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