Question

A car drives at a constant speed of 14 m/s around a circle with radius 55 m. What is the centripetal acceleration of the car? A. 2.3 m/s2 B. 3.6 m/s2 C. 3.9 m/s2 D. 0.25 m/s2

Answer 1

Answer : The correct option is, (B) $3.6m/s^2$

Explanation :

The formula used for centripetal acceleration is:

$a_c=\frac{v^2}{r}$

where,

$a_c$ = centripetal acceleration = ?

v = velocity of car = 14 m/s

r = radius = 55 m

Now put all the given values in the above formula, we get:

$a_c=\frac{v^2}{r}$

$a_c=\frac{(14m/s)^2}{55m}$

$a_c=3.6m/s^2$

Therefore, the centripetal acceleration of the car is $3.6m/s^2$

Answer 2

Option (B) is correct. a= 3.6 m/s²

Explanation:

The centripetal acceleration is given by

a= v²/r

v= velocity=14 m/s

r= radius=55 m

a= (14)²/(55)

a=3.6 m/s²