Question

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

• A. $2\pi m{s}^{-1}$
• B. $4\pi m{s}^{-1}$
• C. $2m{s}^{-1}$
• D. $4m{s}^{-1}$
• E. $5\pi m{s}^{-1}$

Answer 1

Answer: (A)

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