Answer
$22.3\ m$
Work Step by Step
Given:
Velocity of sprinter $v=9.2\ m/s$
Centripetal acceleration $a=3.8\ m/s^2$
Formula for the centripetal acceleration is:
$a = \frac{v^2}{r}$
$r=\frac{v^2}{a}$
$r=\frac{(9.2\ m/s)^2}{3.8\ m/s^2}$
$r=22.3\ m$
