From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 213/CH16/EX16.17/16_17.sce | 53 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 53 insertions(+) create mode 100755 213/CH16/EX16.17/16_17.sce (limited to '213/CH16/EX16.17/16_17.sce') diff --git a/213/CH16/EX16.17/16_17.sce b/213/CH16/EX16.17/16_17.sce new file mode 100755 index 000000000..572f6c36d --- /dev/null +++ b/213/CH16/EX16.17/16_17.sce @@ -0,0 +1,53 @@ +//To find MI and size +clc +//Given: +a1=5*10^-5, a2=21*10^-5, a3=85*10^-5, a4=8*10^-5 //m^2 +N2=98, N1=102 //rpm +rho=8150 //kg/m^3 +sigma=7.5*10^6 //N/m^2 +//Solution: +//Refer Fig. 16.20 +//Calculating the net area +a=a3-(a1+a2+a4) //Net area, m^2 +//Calculating the value of 1 m^2 on the turning moment diagram in terms of work +c=14*10^6 //Value of 1 m^2 on the turning moment diagram, N-m +//Calculating the net work done per cycle +WD=a*c //Net work done per cycle, N-m +//Calculating the mean torque on the flywheel +Tmean=WD/(4*%pi) //N-m +FG=Tmean //N-m +//Calculating the work done during expansion stroke +WDe=a3*c //Work done during expansion stroke, N-m +//Calculating the value of AG +AG=WDe/(1/2*%pi) //N-m +//Calculating the excess torque +Texcess=AG-FG //Excess torque, N-m +AF=Texcess //N-m +//Calculating the value of DE +DE=AF/AG*%pi //rad +//Calculating the maximum fluctuation of energy +deltaE=1/2*DE*AF //N-m +//Moment of inertia of the flywheel: +//Calculating the mean speed during the cycle +N=(N1+N2)/2 //rpm +//Calculating the corresponding angular mean speed +omega=2*%pi*N/60 //rad/s +//Calculating the coefficient of fluctuation of speed +CS=(N1-N2)/N +//Calculating the moment of inertia of the flywheel +I=deltaE/(omega^2*CS) //kg-m^2 +//Size of flywheel: +//Calculating the peripheral velocity of the flywheel +v=sqrt(sigma/rho) //m/s +//Calculating the mean diameter of the flywheel +D=v*60/(%pi*N) //m +//Calculating the mass of the flywheel rim +m=deltaE/(v^2*CS) //kg +//Calculating the thickness of the flywheel rim +t=sqrt(m/(%pi*D*4*rho))*1000 //mm +//Calculating the width of the flywheel rim +b=4*t //mm +//Results: +printf("\n\n Moment of inertia of the flywheel, I = %d kg-m^2.\n\n",I) +printf(" Thickness of the flywheel rim, t = %.1f mm.\n\n",t) +printf(" Width of the flywheel rim, b = %.1f mm.\n\n",b) \ No newline at end of file -- cgit