Q. A car is moving with speed $30\ m/sec$ on a circular path of radius $500\ m$. Its speed is increasing at the rate of $2m/\sec^{2}\ ,$ What is the acceleration of the car
A) $2m/\sec^{2}\ $
B) $2.7m/\sec^{2}\ $
C) $1.8m/\sec^{2}\ $
D) $9.8m/\sec^{2}\ $
Explanation
(b) Net acceleration in nonuniform circular motion,
$a = \sqrt{a_{t}^{2} + a_{c}^{2}} = \sqrt{(2)^{2} + \left( \frac{900}{500} \right)^{2}} = 2.7\ m/s^{2}$
$a_{t} =$ tangential acceleration
$a_{c} =$ centripetal acceleration $= \frac{v^{2}}{r}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.