blob: f9a2b2332ec9463e71c7ae338f892d8c11a94bb0 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
|
//CHAPTER 7 ILLUSRTATION 12 PAGE NO 208
//TITLE:GOVERNORS
//FIGURE 7.12,7.13
clc
clear
//===========================================================================================
//INPUT DATA
PI=3.147
EF=.20// MINIMUM RADIUS OF ROTATION IN m
AE=.30// LENGTH OF EACH ARM IN m
A1E1=AE// COMPARING FIRUES 7.12&7.13
EC=.30// LENGTH OF EACH ARM IN m
E1C1=EC// LENGTH OF EACH ARM IN m
ED=.165// FROM FIGURE 7.12 IN m
MC=ED// FROM FIGURE 7.12
EH=.10// FROM FIGURE 7.12 IN m
m=8// MASS OF BALL IN Kg
M=60// MASS OF SLEEVE IN Kg
DF=.035// SLEEVE DISTANCE FROM AXIS IN m
E1F1=.25// MAX RADIUS OF ROTATION IN m
g=9.81
//=========================================================
alpha=asind(EF/AE)// ANGLE OF INCLINATION OF THE ARM TO THE VERTICAL IN DEGREES
beeta=asind(ED/EC)// ANGLE OF INCLINATION OF THE ARM TO THE HORIZONTAL IN DEGREES
k=tand(beeta)/tand(alpha)
h=(AE^2-EF^2)^.5// HEIGHT OF GOVERNOR IN m
EM=(EC^2-MC^2)^.5// FROM FIGURE 7.12 IN m
HM=EM+EH
N2=(895*EM*(m+(M/2*(1+k)))/(h*HM*m))^.5// EQUILIBRIUM SPEED AT MAX RADIUS
HC=(HM^2+MC^2)^.5// FROM FIGURE 7.13 IN m
H1C1=HC
gama=atand(MC/HM)
alpha1=asind(E1F1/A1E1)
E1D1=E1F1-DF// FROM FIGURE 7.13 IN m
beeta1=asind(E1D1/E1C1)
gama1=gama-beeta+beeta1
r=H1C1*sind(gama1)+DF// RADIUS OF ROTATION IN m
H1M1=H1C1*cosd(gama1)
I1C1=E1C1*cosd(beeta1)*(tand(alpha1)+tand(beeta1))// FROM FIGURE IN m
M1C1=H1C1*sind(gama1)
w1=(((m*g*(I1C1-M1C1))+(M*g*I1C1)/2)/(m*r*H1M1))^.5// ANGULAR SPEED IN rad/s
N1=w1*60/(2*PI)// //SPEED IN m/s
printf('MINIMUM SPEED OF ROTATION = %.3f rpm\n MAXIMUM SPEED OF ROTATION = %.3f rpm',N2,N1)
|