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Diffstat (limited to '213/CH11/EX11.9')
-rwxr-xr-x | 213/CH11/EX11.9/11_9.sce | 30 |
1 files changed, 30 insertions, 0 deletions
diff --git a/213/CH11/EX11.9/11_9.sce b/213/CH11/EX11.9/11_9.sce new file mode 100755 index 000000000..7fe763423 --- /dev/null +++ b/213/CH11/EX11.9/11_9.sce @@ -0,0 +1,30 @@ +//To find width of the belt
+clc
+//Given:
+t=9.75/1000, d1=300/1000, x=3 //m
+P=15*1000 //W
+N1=900, N2=300 //rpm
+rho=1000 //kg/m^3
+sigma=2.5*10^6 //N/m^2
+mu=0.3
+//Solution:
+//Calculating the diameter of the driven pulley
+d2=d1*(N1/N2) //m
+//Calculating the velocity of the belt
+v=%pi*d1*N1/60 //m/s
+//Calculating the angle alpha for an open belt drive
+alpha=asin((d2-d1)/(2*x))*180/%pi //degrees
+//Calculating the angle of lap
+theta=(180-2*alpha)*%pi/180 //radians
+//Calculating the tensions in the belt
+//Ratio of tensions, log(T1/T2) = mu*theta, or T1-T2*exp(mu*theta) = 0
+//Power transmitted, P = (T1-T2)*v, or T1-T2 = P/v
+A=[1 -exp(mu*theta); 1 -1]
+B=[0; P/v]
+V=A \ B
+T1=V(1) //N
+T2=V(2) //N
+//Calculating the width of the belt
+b=T1/(sigma*t-t*1*rho*v^2)*1000 //mm
+//Results:
+printf("\n\n Width of the belt, b = %d mm.\n\n",b)
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