{ "metadata": { "name": "", "signature": "sha256:8e99bc6fbce377831d9d5264a85c645ae2d9072f899aca1128c61ad0649fa729" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Chapter 4: Acceleration Vibration and Density

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.1, Page Number:209

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "import math\n", "#(a)\n", "\n", "#variable Declaration\n", "k=50.0 #Spring constant \n", "m=0.005 # mass in kg\n", "\n", "#calculation\n", "wn=math.sqrt(k/m)\n", "\n", "#result\n", "print('(a)\\nNatural frequency(wn)= %d rad/s' %wn)\n", "\n", "\n", "#(b)\n", "\n", "#calculation\n", "Cc=2*(m*k)**(0.5)\n", "\n", "#result\n", "print('\\n(b)\\nCc=%d' %Cc)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)\n", "Natural frequency(wn)= 100 rad/s\n", "\n", "(b)\n", "Cc=1" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.2, Page Number:209

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "\n", "#(a)\n", "import math\n", "\n", "#variable Declaration\n", "Cc=1.0 # damping ratio \n", "C=0.7*Cc # Critical damping ratio \n", "m=0.005 # mass\n", "k=50.0 # spring constant\n", "\n", "#calculation\n", "w=math.sqrt((k/m)-(C/(2*m))**2)\n", "\n", "#result\n", "print('(a)\\nw=%.1f rad/s' %w)\n", "\n", "#(b)\n", "\n", "#variable Declaration\n", "w1=250.0 # angular velocity\n", "\n", "#calculation\n", "theta=C*w1/(k-m*w1**2)\n", "print('\\ntheta=%f' %theta)\n", "fi=math.atan(-theta)\n", "fi=fi*180.0/math.pi\n", "\n", "#result\n", "print('\\nfi = %d\u00b0'%fi)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)\n", "w=71.4 rad/s\n", "\n", "theta=-0.666667\n", "\n", "fi = 33\u00b0" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.3, PAge Number: 210

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "import math\n", "\n", "#variable Declaration\n", "m=0.005 # mass \n", "c=0.7 # damping ratio\n", "\n", "#calculation\n", "y=-math.log(0.01)\n", "t=y*2*m/c\n", "\n", "#result\n", "print('t=%.4f Secs' %t)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "t=0.0658 Secs" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.4, Page Number:210

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "\n", "#variable Declaration\n", "rg1=1200.0 #resistance in Ohm\n", "rg2=1200.0 #resistance in Ohm\n", "rg3=1200.0 #resistance in Ohm\n", "rg4=1200.0 #resistance in Ohm\n", "\n", "#calculation\n", "D1=rg1*5.0/100.0\n", "D2=rg2*5.0/100.0\n", "D3=rg3*5.0/100.0\n", "D4=rg4*5.0/100.0\n", "E=12.0\n", "v=E*(((rg1+D1)/(rg1+D1+rg2-D2))-((rg4-D4)/(rg3+D3+rg4-D4)))\n", "v=v*1000.0\n", "\n", "#result\n", "print('V0=%d mV' %v)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "V0=600 mV" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.5, Page Number:211

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "\n", "#variable declaration\n", "g=0.06 # voltage sensitivity\n", "\n", "#calculation\n", "t=2.5*10**-3\n", "p=20*9.8*10**4\n", "E=g*t*p\n", "\n", "#Result\n", "print('E=%d V' %E)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "E=294 V" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.6, Page Number: 211

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "\n", "#resistance in Ohm\n", "c0=25.0 # capacitance in pF\n", "x0=0.5 # distance between plates\n", "x1=0.05 # steady state displacement \n", "\n", "#calculations\n", "c1=c0*x0/(x0-x1)\n", "c2=c0*x0/(x0+x1)\n", "\n", "#result\n", "print('C1=%.2f pF\\nC2=%.2f pF'%(c1,c2))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "C1=27.78 pF\n", "C2=22.73 pF" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.7, Page Number: 211

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "\n", "#(a)\n", "\n", "sg_at_60=1.02\n", "\n", "#calculation\n", "API=(141.5/sg_at_60)-131.5\n", "\n", "#result\n", "print('(a)\\nDegrees API = %.2f\u00b0API' %API)\n", "\n", "#(b)\n", "\n", "#calculation\n", "Be=145-145/sg_at_60\n", "\n", "#result\n", "print('\\n(b)\\nDegrees Baume(heavy) = %.1f\u00b0Be' %Be)\n", "\n", "\n", "#(c)\n", "\n", "#calculation\n", "Bk=(sg_at_60-1)*1000\n", "\n", "#result\n", "print('\\n(c)\\nDegrees Barkometer = %d\u00b0Bk' %Bk)\n", "\n", "#(d)\n", "\n", "#calculation\n", "Q=(sg_at_60-1)*1000\n", "\n", "#result\n", "print('\\n(c)\\nDegrees Quevenne = %d\u00b0Q' %Q)\n", "\n", "#(e)\n", "\n", "#calculation\n", "Tw=200*(sg_at_60-1.0)\n", "\n", "#result\n", "print('\\n(d)\\nDegrees Twaddel = %d\u00b0Tw' %Tw)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)\n", "Degrees API = 7.23\u00b0API\n", "\n", "(b)\n", "Degrees Baume(heavy) = 2.8\u00b0Be\n", "\n", "(c)\n", "Degrees Barkometer = 20\u00b0Bk\n", "\n", "(c)\n", "Degrees Quevenne = 20\u00b0Q\n", "\n", "(d)\n", "Degrees Twaddel = 4\u00b0Tw" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.8, Page NUmber: 212

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "\n", "import math\n", "\n", "#variable Declaration\n", "T=0.5 # Torque Tube Force\n", "sg1=1.02 # Maximum spe.gravity to be measured\n", "sg2=0.98 # Minimum spe.gravity to be measured\n", "wt=1000*10**-6\n", "\n", "#calculation\n", "v=T/((sg1-sg2)*wt)\n", "v=math.ceil(v)\n", "\n", "#result\n", "print('V=%d cm^3' %v)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "V=12500 cm^3" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.9, Page Number: 212

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "\n", "import math\n", "\n", "#variavle declaration\n", "sg1=0.85 # Maximum spe.gravity to be measured\n", "sg2=0.8 # Minimum spe.gravity to be measured\n", "span=150.0 # D/P cell span\n", "\n", "\n", "#a\n", "\n", "#calculation\n", "H=span/(sg1-sg2)\n", "\n", "#result\n", "print('(a)\\nH=%d mm = %dm' %(H,H/1000))\n", "\n", "#b\n", "\n", "#calculation\n", "span_min=1500.0\n", "span2=span_min*(sg1-sg2)\n", "span2=math.ceil(span2)\n", "\n", "#result\n", "print('\\n(b)\\nD/P span = %d mm' %span2)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)\n", "H=3000 mm = 3m\n", "\n", "(b)\n", "D/P span = 75 mm" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.10, Page Number:212

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "#variable declaration\n", "Ww=12-2 # Width of water\n", "dw=1000.0 # density of water\n", "\n", "#calculation\n", "v=Ww/dw\n", "dx=(10-2)/v\n", "sg=dx/dw \n", "\n", "#result\n", "print('Specific Gravity of X =%.1f' %sg)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Specific Gravity of X =0.8" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Example 4.11, PAge Number: 213

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "\n", "#(a)\n", "\n", "#variable declaration\n", "wt=1.5 # weight of object\n", " \n", "#calculation\n", "v_obj=2.0/1000\n", "dx=wt/v_obj\n", "sg=dx/1000\n", "\n", "#result\n", "print('(a)\\nSpecific Gravity = %.2f' %sg)\n", "\n", "#(b)\n", "\n", "sgl=0.8 # specific grav of liquid\n", "dens=800.0 # density\n", "\n", "#calculation\n", "W1=dens*v_obj-wt\n", "\n", "#result\n", "print('\\n(b)\\nW1 = %.1f kg' %W1)\n", "\n", "\n", "#(c)\n", "\n", "#variable declaration\n", "sg2=1.2 # spe. grav.\n", "dens2=1200.0 # density\n", "\n", "#calculation\n", "W2=dens2*v_obj-wt\n", "\n", "#result\n", "print('\\n(c)\\nW2 = %.1f kg' %W2)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)\n", "Specific Gravity = 0.75\n", "\n", "(b)\n", "W1 = 0.1 kg\n", "\n", "(c)\n", "W2 = 0.9 kg" ] } ], "prompt_number": 11 } ], "metadata": {} } ] }