Question

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/$se{c}^2$, What is the acceleration of the car

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Net acceleration in non uniform circular motion,
a = $\sqrt{a_t^2+a_c^2}$ = $\sqrt{(2{)}^2+(\frac{900}{500}{)}^2}$ = 2.7m/$s^2$
$a_t$ = tangential acceleration
$a_c$ = centripetal acceleration = $\frac{v^2}{r}$