I did lot of research but couldn't find an answer to this.

Consider a rubber band with a mass (m) at one end, attached to a rotating/spinning pole,

Let,

b = Width of the rubber band crosssection

a = Height of the rubber band cross section

(If a = b , Square cross section)

R = Initial radius of rotation ( R = L, @ time = 0)

L' = Final length ( max length the rubber band can extend)

L = length of the rubber band

w = RPM

St = ? (Stiffness)

m = mass at the end of rubber band

m' = mass of the rubber band

T = Tension

Is there a way to equate Tension on the rubber band to stiffness (St) with respect to m,R, r, t, w, T?

Just like spring : [ K= (G*d^4) / (8*n*D^3)]

I am trying to figure out an equation ( Not a graph) that can relate all these parameters.

Can somebody please help me?