165 m/s^2
The formula for centripetal acceleration is
F = v^2/r
where
F = force
v = velocity
r = radius
v = 2 pi a r
where
a = angular velocity
r = radius
Now we're increasing r by a factor of 0.058/0.040 = 1.45
So v increases by a factor of 1.45
So v^2 increases by 1.45^2
But r in the divisor also increases by a factor of 1.45, so the overall increase in force is 1.45^2/1.45 = 1.45
So just multiply the force experienced at 0.040 m by 1.45
0.040 * 1.45 = 165.3 m/s^2
