# A race car has a centripetal acceleration of 13.33 m/s^2 as it goes around a curve. If the curve is a circle wilh radius 30 m, what is the speed of the car?

$= 20 \setminus \setminus \textrm{\frac{m}{s}}$

#### Explanation:

The centripetal acceleration ${a}_{c} = 13.33 \setminus \frac{m}{s} ^ 2$ acting on a race car moving with a linear velocity $v$ on a curved path radius $r = 30 \setminus m$ is given as follows

${a}_{c} = {v}^{2} / r$

$v = \setminus \sqrt{r {a}_{c}}$

$= \setminus \sqrt{30 \setminus \cdot 13.33}$

$= 20 \setminus \setminus \textrm{\frac{m}{s}}$