Answer
7.32m
Work Step by Step
The equation that governs centripedal acceleration is:
$a_{c} = \frac{v^2}{r} $
We have that the man's velocity is 3.66m/s and that the acceleration is $1.83m/s^2$. Substituting these into the equation we find that
$1.83 = (3.66)^2/r $ so r = 7.32m
