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+//to find the rate of stiffness of the spring and the equilibrium speed
+clc
+//given
+w=3//lb
+g=32.2
+N2=300
+w2=(N2*%pi/30)
+r2=3/12//ft
+N1=1.06*N2
+r1=4.5/12//ft
+a=4//in
+b=2//in
+ro=3.5/12//ft
+F2=w*w2^2*r2/g
+F1=F2*N1^2*r1/(N2^2*r2)
+p=2*a^2*(F1-F2)/(b^2*(r1-r2))
+Fc=F2+(F1-F2)*(.5/1.5)
+N=(Fc*g/(ro*w))^(1/2)*30/%pi
+Ns=ceil(N)
+printf("N = %.f rpm",Ns)