Question

A particle moves with a constant speed v along a circular path of radius r and completes the circle in time T. What is the acceleration of the particle

• A. $mg$
• B. $\frac{2\pi v}{T}$
• C. $\frac{\pi r^{2}}{T}$
• D. $\frac{\pi v^{2}}{T}$

Answer 1

Answer: (B)

$\frac{2\pi v}{T}$

Answer 2

$a_{c} = \frac{v^{2}}{r} = \omega^{2}r = v\omega$ =$v\left( \frac{2\pi}{T} \right) = \frac{2\pi v}{T}$