a=v^2/r
v=wr
w^2r^2/r=g/us
w^2r=g/us
w=2xpixf
4xpi^2xf^2r=g/us
f=rpm/60
(4xpi^2x(rpm^2)r)//60^2=g/us
which comes down to rpm=(squareroot((900xacceration due to gravity/coeffeint of static frictionradius)))/pi
using the range for us [0.25, 0.4] and tubing the other known variables
we get rpm range [21.13826908, 26.73803044]
as 3.5 g is limit
us=g/a
us=9.8/3.5x9.8=0.2857142857
this is minimum us for g got to be less than 3.5 g
using the equation again with the min us
rpm=(squareroot((900xacceration due to gravity/coeffeint of static frictionradius)))/pi
using the range for us [0.2857142857, 0.4] and tubing the other known variables
we get rpm range [21.13826908, 25.01113728]