Answer:
The Mach number is 2.866
Total temperature To = 528.524K
Explanation:


Temperature (T) = 200K
For air, r= 1.4
To find the Mach number we use:
![Po/P = [1 + (r - 1/2) M^2] ^ r^/^r^-^1](https://tex.z-dn.net/?f=%20Po%2FP%20%3D%20%5B1%20%2B%20%28r%20-%201%2F2%29%20M%5E2%5D%20%5E%20r%5E%2F%5Er%5E-%5E1%20)
![1.5 * 10^6 / 5 * 10^4 =[ 1 + (1.4 -1 /2) (M^2) ] ^ 1^.^4^/^1^.^4^-^1](https://tex.z-dn.net/?f=%201.5%20%2A%2010%5E6%20%2F%205%20%2A%2010%5E4%20%3D%5B%201%20%2B%20%281.4%20-1%20%2F2%29%20%28M%5E2%29%20%5D%20%5E%201%5E.%5E4%5E%2F%5E1%5E.%5E4%5E-%5E1%20)




1.6426 = 0.2M^2


M = 2.866
To find Total Temperature :
![To/T = (Po/P)^r^-^1^/^8) [tex][tex] To/200 = (1.5*10^6 / 5*10^4)^ 1^.^4^-^1^/^1^.^4)](https://tex.z-dn.net/?f=%20To%2FT%20%3D%20%28Po%2FP%29%5Er%5E-%5E1%5E%2F%5E8%29%20%5Btex%5D%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%5Btex%5D%20To%2F200%20%3D%20%281.5%2A10%5E6%20%2F%205%2A10%5E4%29%5E%201%5E.%5E4%5E-%5E1%5E%2F%5E1%5E.%5E4%29%20)

To =528.524K
Answer:
45 Mpa
Explanation:
The maximum shear stress,
is given by

Where T is the torque and d is the diameter.
Substituting 29820.586 N.m for T and 0.15m for d then we obtain

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Answer:

Explanation:
=10°C,
=93.33°C
Q=500 btu=527.58 KJ

If we assume that air is ideal gas PV=mRT, ΔU=
Actually this is closed system so work will be zero.
Now fro first law
Q=ΔU=
+W
⇒Q=
527.58 =
m=4.9kg
PV=mRT

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)
