clc; m=10;//kg, mass of disk r=200;//mm, radius of disk r=r/1000;//m, conversion into meter Tn=1.13;//s, Period of torsional vibration for disk T=1.93;//s, Period of torsional vibration for gear theta=90;//degrees theta=theta*%pi/180;//rad //From theory we get I=1/2*m*r^2;//kg, K=(2*%pi/Tn)^2*r;//N.m/rad , torsional spring constant printf("torsional spring constant = %.2f N.m/rad \n",K); //For gear Igear=(T/2/%pi)^2*K;//kg.m^2, moment of inertia of gear printf("moment of inertia of gear = %.3f kg.m^2\n",Igear); //Wm=Theta*Wn=theta*2*%pi/T Wm=theta*2*%pi/T;//rad/s MAximum angular velocity printf("Maximum angular velocity = %.2f rad/s \n",Wm);