Answer
$F = 2600~N$
Work Step by Step
It takes 8 flashes to complete one circle. We can find the period $T$:
$T = (8)(\frac{1.0~s}{2000}) = 4.0\times 10^{-3}~s$
We can find the speed $v$:
$v = \frac{2\pi~r}{T}$
$v = \frac{(2\pi)~(0.035~m)}{4.0\times 10^{-3}~s}$
$v = 55~m/s$
We can find the force on the bolt:
$F = \frac{mv^2}{r}$
$F = \frac{(0.030~kg)(55~m/s)^2}{0.035~m}$
$F = 2600~N$