A car is moving with speed 30 ms-1 on a circular path of radius 500 m . Its speed is increasing at a rate of 2 ms-2 , what is the acceleration of the car ?

Question

A car is moving with speed 30 ms-1 on a circular path of radius 500 m . Its speed is increasing at a rate of 2 ms-2 , what is the acceleration of the car ? (A)  2 ms-2  (B)  2.7 ms-2  (C)  1.82 ms-2  (D)  9.82 ms-2

Tardigrade Admin · Accepted Answer

Net acceleration in non-uniform circular motion, a=√at2+ac2 =√(2)2+[(900/500)]2 =2.7 ms -2

Q. A car is moving with speed $30 m s^{- 1}$ on a circular path of radius $500 m$ . Its speed is increasing at a rate of $2 m s^{- 2}$ , what is the acceleration of the car ?

$2 m s^{- 2}$

$2.7 m s^{- 2}$

$1.82 m s^{- 2}$

$9.82 m s^{- 2}$

Net acceleration in non-uniform circular motion,
$a = a_{t}^{2} + a_{c}^{2}$
$= (2)^{2} + [\frac{900}{500}]^{2}$
$= 2.7 m s^{- 2}$

Q. A car is moving with speed 30ms−1 on a circular path of radius 500m . Its speed is increasing at a rate of 2ms−2 , what is the acceleration of the car ?

2ms−2

2.7ms−2

1.82ms−2

9.82ms−2