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-{
- "metadata": {
- "name": "",
- "signature": "sha256:8879a312d81dca096153a38216868ea90a0e18845d7af1e07069b08fc5353d2b"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "17: Ultrasonics"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 17.1, Page number 352"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "f = 3; #Fundamental vibrational frequency of quartz crystal(MHz)\n",
- "Y = 7.9*10**10; #Young's modulus of quartz(N/m**2)\n",
- "rho = 2650; #Density of quartz(kg/m**3)\n",
- "\n",
- "#Calculation\n",
- "f = f*10**6; #Fundamental vibrational frequency of quartz crystal(Hz)\n",
- "l = 1/(2*f)*math.sqrt(Y/rho); #Thickness of vibrating quartz at resonance(m)\n",
- "l = l*10**3; #Thickness of vibrating quartz at resonance(mm)\n",
- "l = math.ceil(l*100)/100; #rounding off the value of l to 2 decimals\n",
- "\n",
- "#Result\n",
- "print \"The thickness of vibrating quartz at resonance is\",l, \"mm\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The thickness of vibrating quartz at resonance is 0.91 mm\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": []
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file