Answer:
The minimum value of wall thickness t=3.63 mm.
Explanation:
Given:
D=200 mm
P=4 MPa
t= Wall thickness
maximum shear stress=27.5 MPa
We know that
hoop stress ![\sigma _{h}=\frac{Pd}{2t}](https://tex.z-dn.net/?f=%5Csigma%20_%7Bh%7D%3D%5Cfrac%7BPd%7D%7B2t%7D)
Longitudinal stress
So maximum shear tress in plane![\tau _{max}=\dfrac{\sigma _h-\sigma _l}{2}](https://tex.z-dn.net/?f=%5Ctau%20_%7Bmax%7D%3D%5Cdfrac%7B%5Csigma%20_h-%5Csigma%20_l%7D%7B2%7D)
![\tau _{max}=\dfrac{Pd}{8t}](https://tex.z-dn.net/?f=%5Ctau%20_%7Bmax%7D%3D%5Cdfrac%7BPd%7D%7B8t%7D)
Now by putting the value
![27.5=\dfrac{4\times 200}{8t}](https://tex.z-dn.net/?f=27.5%3D%5Cdfrac%7B4%5Ctimes%20200%7D%7B8t%7D)
So t=3.36 mm
The minimum value of wall thickness t=3.63 mm.
As much as the human and physical capital in economy increases, there is a decrease in the marginal gain in economic growth that will diminish.
<u>Explanation:</u>
Low-income countries might have an advantage achieving greater worker productivity and economic growth in the future as their economic growth is faster than the high - income countries.
As much as the human and physical capital in economy increases, there is a decrease in the marginal gain in economic growth that will diminish. And this is called, the laws of diminishing returns.
Secondly, low - income countries find it easier in developing technologies than the high - income technologies especially countries like India and China.
High - income countries put effort in inventing new technologies, whereas low - income countries just improve and improvise their technology.
Answer:
222.5 Gpa
Explanation:
From definition of engineering stress, ![\sigma=\frac {F}{A}](https://tex.z-dn.net/?f=%5Csigma%3D%5Cfrac%20%7BF%7D%7BA%7D)
where F is applied force and A is original area
Also, engineering strain,
where l is original area and
is elongation
We also know that Hooke's law states that ![E=\frac {\sigma}{\epsilon}=\frac {\frac {F}{A}}{\frac {\triangle l}{l}}=\frac {Fl}{A\triangle l}](https://tex.z-dn.net/?f=E%3D%5Cfrac%20%7B%5Csigma%7D%7B%5Cepsilon%7D%3D%5Cfrac%20%7B%5Cfrac%20%7BF%7D%7BA%7D%7D%7B%5Cfrac%20%7B%5Ctriangle%20l%7D%7Bl%7D%7D%3D%5Cfrac%20%7BFl%7D%7BA%5Ctriangle%20l%7D)
Since A=20 mm* 20 mm= 0.02 m*0.02 m
F= 89000 N
l= 100 mm= 0.1 m
![\triangle l= 0.1 mm= 0.1\times 10^{-3} m](https://tex.z-dn.net/?f=%5Ctriangle%20l%3D%200.1%20mm%3D%200.1%5Ctimes%2010%5E%7B-3%7D%20m)
By substitution we obtain
![E=\frac {89000\times 0.1}{0.02^{2}\times 0.1\times 10^{-3}}=2.225\times 10^{11}= 225.5 Gpa](https://tex.z-dn.net/?f=E%3D%5Cfrac%20%7B89000%5Ctimes%200.1%7D%7B0.02%5E%7B2%7D%5Ctimes%200.1%5Ctimes%2010%5E%7B-3%7D%7D%3D2.225%5Ctimes%2010%5E%7B11%7D%3D%20225.5%20Gpa)
Answer:
The answer is "Option A".
Explanation:
Series:
![9, 94, 916, 964, 9256, ........](https://tex.z-dn.net/?f=9%2C%2094%2C%20916%2C%20964%2C%209256%2C%20........)
Solving the above series:
![\to 9\\ \to 9(4) =94\\\to 9 (4^2) = 9(16) =916\\\to 9 (4^3) = 9(64) =964\\\to 9 (4^4) = 9(256) =9256\\\to 9 (4^5) = 9(1024) =91024\\\to 9 (4^6) = 9(4096) =94096\\](https://tex.z-dn.net/?f=%5Cto%20%209%5C%5C%20%5Cto%20%209%284%29%20%3D94%5C%5C%5Cto%209%20%284%5E2%29%20%3D%209%2816%29%20%3D916%5C%5C%5Cto%209%20%284%5E3%29%20%3D%209%2864%29%20%3D964%5C%5C%5Cto%209%20%284%5E4%29%20%3D%209%28256%29%20%3D9256%5C%5C%5Cto%209%20%284%5E5%29%20%3D%209%281024%29%20%3D91024%5C%5C%5Cto%209%20%284%5E6%29%20%3D%209%284096%29%20%3D94096%5C%5C)
So, the series is: ![9, 94, 916, 964, 9256, 91024, 94096, .................](https://tex.z-dn.net/?f=9%2C%2094%2C%20916%2C%20964%2C%209256%2C%2091024%2C%2094096%2C%20.................)
Answer:
Flow energy is defined as, flow energy is the energy needed to push fluids into control volume and it is the amount of work done required to push the entire fluid. It is also known as flow work. Flow energy is not the fundamental quantities like potential and kinetic energy.
Fluid at state of rest do not possess any flow energy. It is mostly converted into internal energy as, rising in the fluid temperature.