From df60071cf1d1c18822d34f943ab8f412a8946b69 Mon Sep 17 00:00:00 2001 From: hardythe1 Date: Wed, 3 Jun 2015 15:27:17 +0530 Subject: add books --- _Theory_Of_Machines/Chapter7.ipynb | 638 +++++++++++++++++++++++++++++++++++++ 1 file changed, 638 insertions(+) create mode 100755 _Theory_Of_Machines/Chapter7.ipynb (limited to '_Theory_Of_Machines/Chapter7.ipynb') diff --git a/_Theory_Of_Machines/Chapter7.ipynb b/_Theory_Of_Machines/Chapter7.ipynb new file mode 100755 index 00000000..064e91a6 --- /dev/null +++ b/_Theory_Of_Machines/Chapter7.ipynb @@ -0,0 +1,638 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:e7c45b9f9a74c2d06cff538ea39937b4592b2eb0de2281e1b9530b19c7e61df9" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter7-GOVERNORS" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex1-pg196" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 1 PAGE NO 196\n", + "##TITLE:GOVERNORS\n", + "import math\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "L=.4## LENGTH OF UPPER ARM IN m\n", + "THETA=30.## INCLINATION TO THE VERTICAL IN degrees\n", + "K=.02## RISED LENGTH IN m\n", + "##============================================================================================\n", + "h2=L*math.cos(THETA/57.3)## GOVERNOR HEIGHT IN m\n", + "N2=(895./h2)**.5## SPEED AT h2 IN rpm\n", + "h1=h2-K## LENGTH WHEN IT IS RAISED BY 2 cm\n", + "N1=(895./h1)**.5## SPEED AT h1 IN rpm\n", + "n=(N1-N2)/N2*100.## PERCENTAGE CHANGE IN SPEED\n", + "##==========================================================================================\n", + "print'%s %.1f %s'%('PERCENTAGE CHANGE IN SPEED=',n,' PERCENTAGE')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "PERCENTAGE CHANGE IN SPEED= 3.0 PERCENTAGE\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex2-pg197" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 2 PAGE NO 197\n", + "##TITLE:GOVERNORS\n", + "##FIGURE 7.5(A),7.5(B)\n", + "import math\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "OA=.3## LENGTH OF UPPER ARM IN m\n", + "m=6.## MASS OF EACH BALL IN Kg\n", + "M=18.## MASS OF SLEEVE IN Kg\n", + "r2=.2## RADIUS OF ROTATION AT BEGINING IN m\n", + "r1=.25## RADIUS OF ROTATION AT MAX SPEED IN m\n", + "##===========================================================================================\n", + "h1=(OA**2.-r1**2.)**.5## HIEGHT OF GOVERNOR AT MAX SPEED IN m\n", + "N1=(895.*(m+M)/(h1*m))**.5## MAX SPEED IN rpm\n", + "h2=(OA**2.-r2**2.)**.5## HEIGHT OF GONERNOR AT BEGINING IN m\n", + "N2=(895.*(m+M)/(h2*m))**.5## MIN SPEED IN rpm\n", + "##===========================================================================================\n", + "print'%s %.1f %s %.1f %s %.1f %s'%('MAX SPEED = ',N1,' rpm'' MIN SPEED = ',N2,' rpm''RANGE OF SPEED = ',N1-N2,' rpm')\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "MAX SPEED = 146.9 rpm MIN SPEED = 126.5 rpmRANGE OF SPEED = 20.4 rpm\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex3-pg197" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 3 PAGE NO 197\n", + "##TITLE:GOVERNORS\n", + "##FIGURE 7.6\n", + "import math\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "OA=.25## LENGHT OF UPPER ARM IN m\n", + "CD=.03## DISTANCE BETWEEN LEEVE AND LOWER ARM IN m\n", + "m=6.## MASS OF BALL IN Kg\n", + "M=48.## MASS OF SLEEVE IN Kg\n", + "AE=.17## FROM FIGURE 7.6\n", + "AE1=.12## FROM FIGURE 7.6\n", + "r1=.2## RADIUS OF ROTATION AT MAX SPEED IN m\n", + "r2=.15## RADIUS OF ROTATION AT MIN SPEED IN m\n", + "##============================================================================================\n", + "h1=(OA**2-r1**2)**.5## HIEGHT OF GOVERNOR AT MIN SPEED IN m\n", + "TANalpha=r1/h1\n", + "TANbeeta=AE/(OA**2-AE**2)**.5\n", + "k=TANbeeta/TANalpha\n", + "N1=(895.*(m+(M*(1.+k)/2.))/(h1*m))**.5## MIN SPEED IN rpm\n", + "h2=(OA**2-r2**2)**.5## HIEGHT OF GOVERNOR AT MAX SPEED IN m\n", + "CE=(OA**2-AE1**2)**.5\n", + "TANalpha1=r2/h2\n", + "TANbeeta1=(r2-CD)/CE\n", + "k=TANbeeta1/TANalpha1\n", + "N2=(895.*(m+(M*(1.+k)/2.))/(h2*m))**.5## MIN SPEED IN rpm\n", + "##========================================================================================================\n", + "print'%s %.1f %s %.1f %s %.1f %s'%('MAX SPEED = ',N1,' rpm'' MIN SPEED = ',N2,' rpm''RANGE OF SPEED = ',N1-N2,' rpm')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "MAX SPEED = 215.5 rpm MIN SPEED = 188.2 rpmRANGE OF SPEED = 27.2 rpm\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex4-pg199" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 4 PAGE NO 199\n", + "##TITLE:GOVERNORS\n", + "##FIGURE 7.7\n", + "import math\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "g=9.81## ACCELERATION DUE TO GRAVITY \n", + "OA=.20## LENGHT OF UPPER ARM IN m\n", + "AC=.20## LENGTH OF LOWER ARM IN m\n", + "CD=.025## DISTANCE BETWEEN AXIS AND LOWER ARM IN m\n", + "AB=.1## RADIUS OF ROTATION OF BALLS IN m\n", + "N2=250## SPEED OF THE GOVERNOR IN rpm\n", + "X=.05## SLEEVE LIFT IN m\n", + "m=5.## MASS OF BALL IN Kg\n", + "M=20.## MASS OF SLEEVE IN Kg\n", + "##===========================================================\n", + "h2=(OA**2.-AB**2.)**.5## OB DISTANCE IN m IN FIGURE\n", + "h21=(AC**2.-(AB-CD)**2.)**.5## BD DISTANCE IN m IN FIGURE\n", + "TANbeeta=(AB-CD)/h21## TAN OF ANGLE OF INCLINATION OF THE LINK TO THE VERTICAL\n", + "TANalpha=AB/h2## TAN OF ANGLE OF INCLINATION OF THE ARM TO THE VERTICAL\n", + "k=TANbeeta/TANalpha\n", + "c=X/(2.*(h2*(1.+k)-X))## PERCENTAGE INCREASE IN SPEED \n", + "n=c*N2## INCREASE IN SPEED IN rpm\n", + "N1=N2+n## SPEED AFTER LIFT OF SLEEVE\n", + "E=c*g*((2.*m/(1.+k))+M)## GOVERNOR EFFORT IN N\n", + "P=E*X## GOVERNOR POWER IN N-m\n", + "\n", + "print'%s %.1f %s %.2f %s %.1f %s '%('SPEED OF THE GOVERNOR WHEN SLEEVE IS LIFT BY 5 cm = ',N1,' rpm'' GOVERNOR EFFORT = ',E,' N' 'GOVERNOR POWER = ',P,' N-m')\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "SPEED OF THE GOVERNOR WHEN SLEEVE IS LIFT BY 5 cm = 275.6 rpm GOVERNOR EFFORT = 25.95 NGOVERNOR POWER = 1.3 N-m \n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex5-pg200" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 5 PAGE NO 200\n", + "##TITLE:GOVERNORS\n", + "##FIGURE 7.8\n", + "import math\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "g=9.81## ACCELERATION DUE TO GRAVITY \n", + "OA=.30## LENGHT OF UPPER ARM IN m\n", + "AC=.30## LENGTH OF LOWER ARM IN m\n", + "m=10.## MASS OF BALL IN Kg\n", + "M=50.## MASS OF SLEEVE IN Kg\n", + "r=.2## RADIUS OF ROTATION IN m\n", + "CD=.04## DISTANCE BETWEEN AXIS AND LOWER ARM IN m\n", + "F=15.## FRICTIONAL LOAD ACTING IN N\n", + "##============================================================\n", + "h=(OA**2-r**2)**.5## HIEGTH OF THE GOVERNOR IN m\n", + "AE=r-CD## AE VALUE IN m\n", + "CE=(AC**2-AE**2)**.5## BD DISTANCE IN m\n", + "TANalpha=r/h## TAN OF ANGLE OF INCLINATION OF THE ARM TO THE VERTICAL\n", + "TANbeeta=AE/CE## TAN OF ANGLE OF INCLINATION OF THE LINK TO THE VERTICAL\n", + "k=TANbeeta/TANalpha\n", + "N=((895./h)*(m+(M*(1.+k)/2.))/m)**.5## EQULIBRIUM SPEED IN rpm\n", + "N1=((895./h)*((m*g)+(M*g+F)/2.)*(1.+k)/(m*g))**.5## MAX SPEED IN rpm\n", + "N2=((895./h)*((m*g)+(M*g-F)/2.)*(1.+k)/(m*g))**.5## MIN SPEED IN rpm\n", + "R=N1-N2## RANGE OF SPEED\n", + "print'%s %.1f %s %.1f %s '%('EQUILIBRIUM SPEED OF GOVERNOR = ',N,' rpm'' RANGE OF SPEED OF GOVERNOR= ',R,' rpm')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "EQUILIBRIUM SPEED OF GOVERNOR = 145.1 rpm RANGE OF SPEED OF GOVERNOR= 3.4 rpm \n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex6-pg202" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 6 PAGE NO 202\n", + "##TITLE:GOVERNORS\n", + "##FIGURE 7.9\n", + "import math\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "g=9.81## ACCELERATION DUE TO GRAVITY \n", + "OA=.30## LENGHT OF UPPER ARM IN m\n", + "AC=.30## LENGTH OF LOWER ARM IN m\n", + "m=5.## MASS OF BALL IN Kg\n", + "M=25.## MASS OF SLEEVE IN Kg\n", + "X=.05## LIFT OF THE SLEEVE\n", + "alpha=30.## ANGLE OF INCLINATION OF THE ARM TO THE VERTICAL\n", + "##==============================================\n", + "h2=OA*math.cos(alpha/57.3)## HEIGHT OF THE GOVERNOR AT LOWEST POSITION OF SLEEVE\n", + "h1=h2-X/2.## HEIGHT OF THE GOVERNOR AT HEIGHT POSITION OF SLEEVE\n", + "F=((h2/h1)*(m*g+M*g)-(m*g+M*g))/(1.+h2/h1)## FRICTION AT SLEEVE IN N\n", + "N1=((m*g+M*g+F)*895./(h1*m*g))**.5## MAX SPEEED OF THE GOVVERNOR IN rpm\n", + "N2=((m*g+M*g-F)*895./(h2*m*g))**.5## MIN SPEEED OF THE GOVVERNOR IN rpm\n", + "R=N1-N2## RANGE OF SPEED IN rpm\n", + "\n", + "print'%s %.1f %s %.1f %s'%('THE VALUE OF FRICTIONAL FORCE= ',F,' F'' RANGE OF SPEED OF THE GOVERNOR = ',R,' rpm')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "THE VALUE OF FRICTIONAL FORCE= 14.9 F RANGE OF SPEED OF THE GOVERNOR = 14.9 rpm\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex7-pg203" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 7 PAGE NO 203\n", + "##TITLE:GOVERNORS\n", + "import math\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "PI=3.147\n", + "m=3## MASS OF EACH BALL IN Kg\n", + "a=.12## LENGTH OF VERTICAL ARM OF BELL CRANK LEVER IN m\n", + "b=.08## LENGTH OF HORIZONTAL ARM OF BELL CRANK LEVER IN m\n", + "r2=.12## RADIUS OF ROTATION OF THE BALL FOR LOWEST POSITION IN m\n", + "N2=320.## SPEED OF GOVERNOR AT THE BEGINING IN rpm\n", + "S=20000.## STIFFNESS OF THE SPRING IN N/m\n", + "h=.015## SLEEVE LIFT IN m\n", + "##==================================================\n", + "Fc2=m*(2.*PI*N2/60.)**2*r2## CENTRIFUGAL FORCE ACTING AT MIN SPEED OF ROTATION IN N\n", + "L=2*a*Fc2/b## INITIAL LOAD ON SPRING IN N\n", + "r1=a/b*h+r2## MAX RADIUS OF ROTATION IN m\n", + "Fc1=(S*(r1-r2)*(b/a)**2/2)+Fc2## CENTRIFUGAL FORCE ACTING AT MAX SPEED OF ROTATION IN N\n", + "N1=(Fc1/(m*r1)*(60./2./PI)**2)**.5\n", + "print'%s %.1f %s %.1f %s '%('INITIAL LOAD ON SPRING =',L,' N'' EQUILIBRIUM SPEED CORRESPONDING TO LIFT OF 15 cm =',N1,' rpm')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "INITIAL LOAD ON SPRING = 1217.0 N EQUILIBRIUM SPEED CORRESPONDING TO LIFT OF 15 cm = 327.9 rpm \n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex7-pg204" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 8 PAGE NO 204\n", + "##TITLE:GOVERNORS\n", + "\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "PI=3.147\n", + "m=3## MASS OF BALL IN Kg\n", + "r2=.2## INITIAL RADIUS OF ROTATION IN m\n", + "a=.11## LENGTH OF VERTICAL ARM OF BELL CRANK LEVER IN m\n", + "b=.15## LENGTH OF HORIZONTAL ARM OF BELL CRANK LEVER IN m\n", + "h=.004## SLEEVE LIFT IN m\n", + "N2=240.## INITIAL SPEED IN rpm\n", + "n=7.5## FLUCTUATION OF SPEED IN %\n", + "##===================================\n", + "w2=2.*PI*N2/60.## INITIAL ANGULAR SPEED IN rad/s\n", + "w1=(100.+n)*w2/100.## FINAL ANGULAR SPEED IN rad/s\n", + "F=2.*a/b*m*w2**2.*r2## INITIAL COMPRESSIVE FORCE IN N\n", + "r1=r2+a/b*h## MAX RDIUS OF ROTATION IN m\n", + "S=2.*((m*w1**2.*r1)-(m*w2**2.*r2))/(r1-r2)*(a/b)**2.\n", + "print'%s %.1f %s %.1f %s'%('INITIAL COMPRESSIVE FPRCE = ',F,' N'' STIFFNESS OF THE SPRING = ',S/1000,' N/m')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "INITIAL COMPRESSIVE FPRCE = 557.8 N STIFFNESS OF THE SPRING = 24.1 N/m\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex9-pg204" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 9 PAGE NO 204\n", + "##TITLE:GOVERNORS\n", + "##FIGURE 7.3(C)\n", + "\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "g=9.81## ACCELERATION DUE TO GRAVITY \n", + "PI=3.147\n", + "r=.14## DISTANCE BETWEEN THE CENTRE OF PIVOT OF BELL CRANK LEVER AND AXIS OF GOVERNOR SPINDLE IN m\n", + "r2=.11## INITIAL RADIUS OF ROTATION IN m\n", + "a=.12## LENGTH OF VERTICAL ARM OF BELL CRANK LEVER IN m\n", + "b=.10## LENGTH OF HORIZONTAL ARM OF BELL CRANK LEVER IN m\n", + "h=.05## SLEEVE LIFT IN m\n", + "N2=240## INITIAL SPEED IN rpm\n", + "F=30## FRICTIONAL FORCE ACTING IN N\n", + "m=5## MASS OF EACH BALL IN Kg\n", + "##==========================================\n", + "r1=r2+a/b*h## MAX RADIUS OF ROTATION IN m\n", + "N1=41.*N2/39.## MAX SPEED OF ROTATION IN rpm\n", + "N=(N1+N2)/2.## MEAN SPEED IN rpm\n", + "Fc1=m*(2.*PI*N1/60.)**2.*r1## CENTRIFUGAL FORCE ACTING AT MAX SPEED OF ROTATION IN N\n", + "Fc2=m*(2.*PI*N2/60.)**2.*r2## CENTRIFUGAL FORCE ACTING AT MIN SPEED OF ROTATION IN N\n", + "c1=r1-r## FROM FIGURE 7.3(C) IN m\n", + "a1=(a**2.-c1**2.)**.5## FROM FIGURE 7.3(C) IN m\n", + "b1=(b**2.-(h/2.)**2.)**.5## FROM FIGURE 7.3(C) IN m\n", + "c2=r-r2## FROM FIGURE 7.3(C) IN m\n", + "a2=a1## FROM FIGURE 7.3(C) IN m\n", + "b2=b1## FROM FIGURE 7.3(C) IN m\n", + "S1=2.*((Fc1*a1)-(m*g*c1))/b1## SPRING FORCE EXERTED ON THE SLEEVE AT MAXIMUM SPEED IN NEWTONS\n", + "S2=2.*((Fc2*a2)-(m*g*c2))/b2## SPRING FORCE EXERTED ON THE SLEEVE AT MAXIMUM SPEED IN NEWTONS\n", + "S=(S1-S2)/h## STIFFNESS OF THE SPRING IN N/m\n", + "Is=S2/S## INITIAL COMPRESSION OF SPRING IN m\n", + "P=S2+(h/2.*S)## SPRING FORCE OF MID PORTION IN N\n", + "n1=N*((P+F)/P)**.5## SPEED,WHEN THE SLEEVE BEGINS TO MOVE UPWARDS FROM MID POSITION IN rpm\n", + "n2=N*((P-F)/P)**.5## SPEED,WHEN THE SLEEVE BEGINS TO MOVE DOWNWARDS FROM MID POSITION IN rpm\n", + "A=n1-n2## ALTERATION IN SPEED IN rpm\n", + "print'%s %.1f %s %.1f %s '%('INTIAL COMPRESSION OF SPRING= ',Is*100,' cm''ALTERATION IN SPEED = ',A,' rpm')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "INTIAL COMPRESSION OF SPRING= 6.8 cmALTERATION IN SPEED = 6.7 rpm \n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex10-pg206" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 10 PAGE NO 206\n", + "##TITLE:GOVERNORS\n", + "##FIGURE 7.10\n", + "import math\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "PI=3.147\n", + "AE=.25## LENGTH OF UPPER ARM IN m\n", + "CE=.25## LENGTH OF LOWER ARM IN m\n", + "EH=.1## LENGTH OF EXTENDED ARM IN m\n", + "EF=.15## RADIUS OF BALL PATH IN m\n", + "m=5.## MASS OF EACH BALL IN Kg\n", + "M=40.## MASS OF EACH BALL IN Kg\n", + "##===================================================================\n", + "h=(AE**2.-EF**2.)**.5## HEIGHT OF THE GOVERNOR IN m\n", + "EM=h\n", + "HM=EH+EM## FROM FIGURE 7.10\n", + "N=((895./h)*(EM/HM)*((m+M)/m))**.5\n", + "print'%s %.1f %s'%('EQUILIBRIUM SPEED OF GOVERNOR =',N,' rpm')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "EQUILIBRIUM SPEED OF GOVERNOR = 163.9 rpm\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex11-pg207" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 11 PAGE NO 207\n", + "##TITLE:GOVERNORS\n", + "##FIGURE 7.11\n", + "import math\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "PI=3.147\n", + "g=9.81## ACCELERATION DUE TO GRAVITY IN N/mm**2\n", + "AE=.25## LENGTH OF UPPER ARM IN m\n", + "CE=.25## LENGTH OF LOWER ARM IN m\n", + "ER=.175## FROM FIGURE 7.11\n", + "AP=.025## FROM FIGURE 7.11\n", + "FR=AP## FROM FIGURE 7.11\n", + "CQ=FR## FROM FIGURE 7.11\n", + "m=3.2## MASS OF BALL IN Kg\n", + "M=25.## MASS OF SLEEVE IN Kg\n", + "h=.2## VERTICAL HEIGHT OF GOVERNOR IN m\n", + "EM=h## FROM FIGURE 7.11\n", + "AF=h## FROM FIGURE 7.11\n", + "N=160.## SPEED OF THE GOVERNOR IN rpm\n", + "HM=(895.*EM*(m+M)/(h*N**2.*m))\n", + "x=HM-EM## LENGTH OF EXTENDED LINK IN m\n", + "T1=g*(m+M/2.)*AE/AF## TENSION IN UPPER ARM IN N\n", + "print'%s %.3f %s %.1f %s'%('LENGTH OF EXTENDED LINK = ',x,' m''TENSION IN UPPER ARM =',T1,' N')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "LENGTH OF EXTENDED LINK = 0.108 mTENSION IN UPPER ARM = 192.5 N\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex12-pg208" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "##CHAPTER 7 ILLUSRTATION 12 PAGE NO 208\n", + "##TITLE:GOVERNORS\n", + "##FIGURE 7.12,7.13\n", + "import math\n", + "##===========================================================================================\n", + "##INPUT DATA\n", + "PI=3.147\n", + "EF=.20## MINIMUM RADIUS OF ROTATION IN m\n", + "AE=.30## LENGTH OF EACH ARM IN m\n", + "A1E1=AE## COMPARING FIRUES 7.12&7.13\n", + "EC=.30## LENGTH OF EACH ARM IN m\n", + "E1C1=EC## LENGTH OF EACH ARM IN m\n", + "ED=.165## FROM FIGURE 7.12 IN m\n", + "MC=ED## FROM FIGURE 7.12\n", + "EH=.10## FROM FIGURE 7.12 IN m\n", + "m=8.## MASS OF BALL IN Kg \n", + "M=60.## MASS OF SLEEVE IN Kg\n", + "DF=.035## SLEEVE DISTANCE FROM AXIS IN m\n", + "E1F1=.25## MAX RADIUS OF ROTATION IN m\n", + "g=9.81\n", + "##=========================================================\n", + "alpha=math.asin((EF/AE))*57.3## ANGLE OF INCLINATION OF THE ARM TO THE VERTICAL IN DEGREES\n", + "beeta=math.asin((ED/EC))*57.3## ANGLE OF INCLINATION OF THE ARM TO THE HORIZONTAL IN DEGREES\n", + "k=math.tan(beeta/57.3)/math.tan(alpha/57.3)\n", + "h=(AE**2.-EF**2.)**.5## HEIGHT OF GOVERNOR IN m\n", + "EM=(EC**2.-MC**2.)**.5## FROM FIGURE 7.12 IN m\n", + "HM=EM+EH\n", + "N2=(895.*EM*(m+(M/2.*(1.+k)))/(h*HM*m))**.5## EQUILIBRIUM SPEED AT MAX RADIUS\n", + "HC=(HM**2.+MC**2.)**.5## FROM FIGURE 7.13 IN m\n", + "H1C1=HC\n", + "gama=math.atan((MC/HM))*57.3\n", + "alpha1=math.asin((E1F1/A1E1))*57.3\n", + "E1D1=E1F1-DF## FROM FIGURE 7.13 IN m\n", + "beeta1=math.asin((E1D1/E1C1))*57.3\n", + "gama1=gama-beeta+beeta1\n", + "r=H1C1*math.sin(gama1/57.3)+DF## RADIUS OF ROTATION IN m\n", + "H1M1=H1C1*math.cos((gama1/57.3))\n", + "I1C1=E1C1*math.cos(beeta1/57.3)*(math.tan(alpha1/57.3)+math.tan(beeta1/57.3))## FROM FIGURE IN m\n", + "M1C1=H1C1*math.sin(gama1/57.3)\n", + "w1=(((m*g*(I1C1-M1C1))+(M*g*I1C1)/2.)/(m*r*H1M1))**.5## ANGULAR SPEED IN rad/s\n", + "N1=w1*60./(2.*PI)## ##SPEED IN m/s\n", + "print'%s %.1f %s %.1f %s '%('MINIMUM SPEED OF ROTATION =',N2,' rpm'' MAXIMUM SPEED OF ROTATION = ',N1,' rpm')\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "MINIMUM SPEED OF ROTATION = 146.6 rpm MAXIMUM SPEED OF ROTATION = 156.3 rpm \n" + ] + } + ], + "prompt_number": 3 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit