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Answer:
The pressure upstream and downstream of a shock wave are related as

where,
= Specific Heat ratio of air
M = Mach number upstream
We know that 
Applying values we get

Similarly the temperature downstream is obtained by the relation
![\frac{T_{1}}{T_{o}}=\frac{[2\gamma M^{2}-(\gamma -1)][(\gamma -1)M^{2}+2]}{(\gamma +1)^{2}M^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7BT_%7B1%7D%7D%7BT_%7Bo%7D%7D%3D%5Cfrac%7B%5B2%5Cgamma%20M%5E%7B2%7D-%28%5Cgamma%20-1%29%5D%5B%28%5Cgamma%20-1%29M%5E%7B2%7D%2B2%5D%7D%7B%28%5Cgamma%20%2B1%29%5E%7B2%7DM%5E%7B2%7D%7D)
Applying values we get
![\frac{T_{1}}{423}=\frac{[2\times 1.4\times 1.8^{2}-(1.4-1)][(1.4-1)1.8^{2}+2]}{(1.4+1)^{2}\times 1.8^{2}}\\\\\therefore \frac{T_{1}}{423}=1.53\\\\\therefore T_{1}=647.85K=374.85^{o}C](https://tex.z-dn.net/?f=%5Cfrac%7BT_%7B1%7D%7D%7B423%7D%3D%5Cfrac%7B%5B2%5Ctimes%201.4%5Ctimes%201.8%5E%7B2%7D-%281.4-1%29%5D%5B%281.4-1%291.8%5E%7B2%7D%2B2%5D%7D%7B%281.4%2B1%29%5E%7B2%7D%5Ctimes%201.8%5E%7B2%7D%7D%5C%5C%5C%5C%5Ctherefore%20%5Cfrac%7BT_%7B1%7D%7D%7B423%7D%3D1.53%5C%5C%5C%5C%5Ctherefore%20T_%7B1%7D%3D647.85K%3D374.85%5E%7Bo%7DC)
The Mach number downstream is obtained by the relation

Answer:
See Explaination
Explanation:
// use the `timescale directive which u have used in ur testbench here
module FA1(a,b,cin,s,cout);
input a,b,cin;
output s,cout;
wire s1,c1,c2;
assign s1= #4 a ^ b;
assign s= #4 s1 ^ cin;
assign c1= #2 a & b;
assign c2= #2 s1 & cin;
assign cout= #3 c1 | c2;
endmodule
Answer:
by principal stress theory
t = 20.226
by total strain theory
t = 20.36
Explanation:
given data
internal radius
= 150 mm
pressure p = 80 MPa
yield strength = 300 MPa
poisson's ratio = 0.3
a) by principal stress theory
thickness can be obtained as t
t = ![r_{1}\left [ (\frac{\sigma _{y} +p}{\sigma _{y} - 0.5p})^{1/3}-1 \right ]](https://tex.z-dn.net/?f=%20r_%7B1%7D%5Cleft%20%5B%20%28%5Cfrac%7B%5Csigma%20_%7By%7D%20%2Bp%7D%7B%5Csigma%20_%7By%7D%20-%200.5p%7D%29%5E%7B1%2F3%7D-1%20%5Cright%20%5D)
t = = 150\left [ (\frac{300 +80}{300-0.5*80})^{1/3}-1 \right ]
t = 20.226
b) by total strain theory
m =
m =
= 3.75
we know that
K = 



k = 1.13
1.13 = 
= 170.36 mm
t =
-
t = 170.36 - 150
t = 20.36