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+clc;
+ra=0.3; // armature resistance
+n=0.7; // efficiency of dc shunt motor
+l=800; // weight of load
+v=3; // speed of raising a load
+vi=230; // initial value of supply voltage
+vf=190; // final value of supply voltage
+g=9.81; // acceleration due to gravity
+f=l*g; // resisting force due to gravitational pull
+p=f*v; // power required for lifting the load
+P=p/n; // power rating of dc machine
+printf('Required rating of power is %f KW\n',P/1000);
+// for supply voltage of 230 V Ea=230-ia*ra finding quadratic equation in ia whose terms are
+t1=ra;
+t2=-vi;
+t3=P;
+p=[ t1 t2 t3 ] ;
+ia=roots(p);
+Ea=vf-ia(2)*ra; // counter EMF for supply voltage of 190 V
+v=(Ea*ia(2)*n)/(l*g);
+printf('New hoist speed is %f m/s',v);
+