The entire chain is along the radius of the circle in which it is rotating in a horizontal circle.
Length of each link = a = 1 m / 100 = 1 cm
mass of each link = m = 2 kg /100 = 0.02 kg
Let us consider 'n' th link from the center of circle. It is revolving in a circle of radius R = length of (n-1) links and 1/2 of length of nth link.
= (n - 1) 1 cm + 1/2 cm = (n - 1/2) /100 metes
average centripetal force on the nth link = m R ω² ,
where m = mass of link, R = distance of nth link from center, ω = angular velocity
= 0.02 * (n - 1/2) /100 * (2π 3000/60)² newtons
= 2π² (n - 1/2) Newtons
So average centripetal force on the center of mass of first link is : π² Newtons
on the 2nd link is 3 π². It increases by 2π² for each link.