Question

A particle moving in a circle of radius 10 cm with a uniform speed, completes a revolution in 4 seconds. Then what is the magnitude of the centripetal acceleration(in $cm/s^2$) it experiences?

• A. $2.5{\pi }^2$
• B. $5{\pi }^2$
• C. $3{\pi }^2$
• D. $6{\pi }^2$

Answer 1

The correct option is A $2.5{\pi }^2$

The body completes 1 revolution in 4 seconds
w $=\frac{2\pi }{4}rad/s$
w $=\frac{\pi }{2}$ rad/s
Radius of the circular path is 0.1 m
Centripetal acceleration is $=r\times w^2$
$a_r=0.1\times \frac{{\pi }^2}{4}m/s^2$
$a_r=0.1\times \frac{{\pi }^2}{4}\times 100cm/s^2$
$a_r=2.5{\pi }^{2}cm/s^2$