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  4. A particle moves along a semicircle of radius 10 m in 5 s. The velocity of the particle is:

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Q. A particle moves along a semicircle of radius 10 m in 5 s. The velocity of the particle is:

KEAMKEAM 2001

Solution:

Velocity, $ v=r\omega =r\times \frac{\theta }{t}=\frac{r\times (\pi r/r)}{t} $
$ \therefore $ $ v=\frac{r\pi }{t}=\frac{10\times \pi }{5}=2\pi \,m{{s}^{-1}} $