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authorpriyanka2015-06-24 15:03:17 +0530
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+//To estimate the power
+clc
+//Given:
+W=75*1000 //W
+v=300 //mm/min
+p=6,d0=40 //mm
+mu=0.1
+//Solution:
+//Calculating the mean diameter of the screw
+d=(d0-p/2)/1000 //m
+//Calculating the helix angle
+alpha=atan(p/(%pi*d*1000)) //radians
+//Calculating the force required at the circumference of the screw
+phi=atan(mu) //Limiting angle of friction, radians
+P=W*tan(alpha+phi) //N
+//Calculating the torque required to overcome the friction
+T=P*d/2 //N-m
+//Calculating the speed of the screw
+N=v/p //rpm
+//Calculating the angular speed
+omega=2*%pi*N/60 //rad/s
+//Calculating the power of the motor
+Power=T*omega/1000 //Power of the motor, kW
+//Results:
+printf("\n\n Power of the motor required = %.3f kW.\n\n",Power) \ No newline at end of file