Viscosity isT=u(U/y) where T is shear stress & u is velocity and y is thr length
The answer is =2.57
Answer:
The answer is below
Explanation:
a) The weight of the combined system is the sum of the weight of the water and the weight of the tank
![m_{water}=V_{tank}.\rho_{wtaer}\\\\m_{water}=0.2m^3*1000kg/m^3\\\\m_{water}=200 \ kg\\\\m_{total} = m_{water}+m_{tank}\\\\But\ m_{tank}=3kg,therefore:\\\\m_{total} =200kg+3kg\\\\m_{total} =203\ kg\\\\weight_{total}=m_{total}g\\\\weight_{total}=203kg*9.81m/s^2\\\\weight_{total}=1991.43\ N](https://tex.z-dn.net/?f=m_%7Bwater%7D%3DV_%7Btank%7D.%5Crho_%7Bwtaer%7D%5C%5C%5C%5Cm_%7Bwater%7D%3D0.2m%5E3%2A1000kg%2Fm%5E3%5C%5C%5C%5Cm_%7Bwater%7D%3D200%20%5C%20kg%5C%5C%5C%5Cm_%7Btotal%7D%20%3D%20m_%7Bwater%7D%2Bm_%7Btank%7D%5C%5C%5C%5CBut%5C%20m_%7Btank%7D%3D3kg%2Ctherefore%3A%5C%5C%5C%5Cm_%7Btotal%7D%20%3D200kg%2B3kg%5C%5C%5C%5Cm_%7Btotal%7D%20%3D203%5C%20kg%5C%5C%5C%5Cweight_%7Btotal%7D%3Dm_%7Btotal%7Dg%5C%5C%5C%5Cweight_%7Btotal%7D%3D203kg%2A9.81m%2Fs%5E2%5C%5C%5C%5Cweight_%7Btotal%7D%3D1991.43%5C%20N)
b) Since the weight of a system can be divided into smaller portions, hence weight is an extensive property.
c) When analyzing the acceleration of gases as they flow through a nozzle, the geometry of the nozzle which is an open system can be chosen as our system.
d) Given that:
![\rho_{water}=1000kg/m^3\\\\1kg/m^3=0.062428lb/ft^3\\\\1000kg/m^3=1000kg/m^3*\frac{0.062428lb/ft^3}{kg/m^3}=62.43lb/ft^3\\ \\\rho=SG*\rho_{water}=1.03*62.43=64.272lb/ft^3\\\\P=P_{atm}+\rho g H\\\\P=14.7\ psia+64.272\ lb/ft^3*32.2\ ft/s^2*175\ ft*\frac{1\ ft^2}{12^2\ in^2}*\frac{1\ lbf}{32.2\ lbm.ft/s^2} \\\\P=92.8\ psia](https://tex.z-dn.net/?f=%5Crho_%7Bwater%7D%3D1000kg%2Fm%5E3%5C%5C%5C%5C1kg%2Fm%5E3%3D0.062428lb%2Fft%5E3%5C%5C%5C%5C1000kg%2Fm%5E3%3D1000kg%2Fm%5E3%2A%5Cfrac%7B0.062428lb%2Fft%5E3%7D%7Bkg%2Fm%5E3%7D%3D62.43lb%2Fft%5E3%5C%5C%20%5C%5C%5Crho%3DSG%2A%5Crho_%7Bwater%7D%3D1.03%2A62.43%3D64.272lb%2Fft%5E3%5C%5C%5C%5CP%3DP_%7Batm%7D%2B%5Crho%20g%20H%5C%5C%5C%5CP%3D14.7%5C%20psia%2B64.272%5C%20lb%2Fft%5E3%2A32.2%5C%20ft%2Fs%5E2%2A175%5C%20ft%2A%5Cfrac%7B1%5C%20ft%5E2%7D%7B12%5E2%5C%20in%5E2%7D%2A%5Cfrac%7B1%5C%20lbf%7D%7B32.2%5C%20lbm.ft%2Fs%5E2%7D%20%20%5C%5C%5C%5CP%3D92.8%5C%20psia)
Answer:
Check the explanation
Explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
So I’m thinking C because they both have a lot to do with design here is my evidence. Structural engineering is a component of civil engineering which focuses on the design and development of infrastructures such as bridges, skyscrapers, dams. Civil engineering is a professional engineering discipline that deals with the design, construction, and maintenance of the physical and naturally built environment. I may be wrong but hope this helped!
Answer:
a) no roots not in LHP
b) 2 roots not in LHP
c) 2 roots not in the LHP
d) 2 roots not in the LHP
e) 2 roots not in LHP
Explanation:
![a) s^4 + 8s^3 + 32s^2 + 80s + 100 = 0\\\\s^4:\:\:\:1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:32\:\:\:\:\:\:100\\s^3:\:\:\:8\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:80\\s^2:\:\:\:22\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:100\\s^1:\:\:\:80-\frac{800}{22} =43.6\\s^0:\:\:\:100](https://tex.z-dn.net/?f=a%29%20s%5E4%20%2B%208s%5E3%20%2B%2032s%5E2%20%2B%2080s%20%2B%20100%20%3D%200%5C%5C%5C%5Cs%5E4%3A%5C%3A%5C%3A%5C%3A1%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A32%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A100%5C%5Cs%5E3%3A%5C%3A%5C%3A%5C%3A8%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A80%5C%5Cs%5E2%3A%5C%3A%5C%3A%5C%3A22%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A100%5C%5Cs%5E1%3A%5C%3A%5C%3A%5C%3A80-%5Cfrac%7B800%7D%7B22%7D%20%3D43.6%5C%5Cs%5E0%3A%5C%3A%5C%3A%5C%3A100)
No roots not in the LHP
![b) s^5 + 10s^4 + 30s^3 + 80s^2+344s + 480 =0 \\\\s^5:\:\:\:1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:30\:\:\:\:\:\:344\\s^4:\:\:\:10\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:80\:\:\:\:\:\:480\\s^3:\:\:\:22\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:296\\s^2:\:\:\:-545\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:480\\s^1:\:\:\:490\\s^0:\:\:\:480](https://tex.z-dn.net/?f=b%29%20s%5E5%20%2B%2010s%5E4%20%2B%2030s%5E3%20%2B%2080s%5E2%2B344s%20%2B%20480%20%3D0%20%5C%5C%5C%5Cs%5E5%3A%5C%3A%5C%3A%5C%3A1%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A30%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A344%5C%5Cs%5E4%3A%5C%3A%5C%3A%5C%3A10%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A80%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A480%5C%5Cs%5E3%3A%5C%3A%5C%3A%5C%3A22%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A296%5C%5Cs%5E2%3A%5C%3A%5C%3A%5C%3A-545%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A480%5C%5Cs%5E1%3A%5C%3A%5C%3A%5C%3A490%5C%5Cs%5E0%3A%5C%3A%5C%3A%5C%3A480)
2 roots not in the LHP
![c) s^4 + 2s^3 + 7s^2 -2s + 8 = 0 \\\\s^4:\:\:\:1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:7\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:8\\s^3:\:\:\:2\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:-2\\s^2:\:\:\:8\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:8\\s^1:\:\:\:-4\\s^0:\:\:\:8](https://tex.z-dn.net/?f=c%29%20s%5E4%20%2B%202s%5E3%20%2B%207s%5E2%20-2s%20%2B%208%20%3D%200%20%5C%5C%5C%5Cs%5E4%3A%5C%3A%5C%3A%5C%3A1%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A7%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A8%5C%5Cs%5E3%3A%5C%3A%5C%3A%5C%3A2%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A-2%5C%5Cs%5E2%3A%5C%3A%5C%3A%5C%3A8%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A8%5C%5Cs%5E1%3A%5C%3A%5C%3A%5C%3A-4%5C%5Cs%5E0%3A%5C%3A%5C%3A%5C%3A8)
There are roots in the RHP (not all coefficients are greater than 0).
2 roots not in the LHP
![d) s^4 + 2s^3 + 7s^2 -2s + 8 = 0 \\\\s^3:\:\:\:1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:20\\s^2:\:\:\:1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:78\\s^1:\:\:\:-58\\s^0:\:\:\:78](https://tex.z-dn.net/?f=d%29%20s%5E4%20%2B%202s%5E3%20%2B%207s%5E2%20-2s%20%2B%208%20%3D%200%20%5C%5C%5C%5Cs%5E3%3A%5C%3A%5C%3A%5C%3A1%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A20%5C%5Cs%5E2%3A%5C%3A%5C%3A%5C%3A1%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A78%5C%5Cs%5E1%3A%5C%3A%5C%3A%5C%3A-58%5C%5Cs%5E0%3A%5C%3A%5C%3A%5C%3A78)
There are two sign changes in the first column of the Routh array.
2 roots not in the LHP
![e) s^4 + 2s^3 + 7s^2 -2s + 8 = 0 \\\\s^4:\:\:\:1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:6\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:25\\s^3:\:\:\:4\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:12\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: new \:\:row \\s^2:\:\:\:3\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:25\\s^1:\:\:\:12-\frac{100}{3}=-21.3 \\s^0:\:\:\:25](https://tex.z-dn.net/?f=e%29%20s%5E4%20%2B%202s%5E3%20%2B%207s%5E2%20-2s%20%2B%208%20%3D%200%20%5C%5C%5C%5Cs%5E4%3A%5C%3A%5C%3A%5C%3A1%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A6%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A25%5C%5Cs%5E3%3A%5C%3A%5C%3A%5C%3A4%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A12%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%20new%20%5C%3A%5C%3Arow%20%5C%5Cs%5E2%3A%5C%3A%5C%3A%5C%3A3%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A25%5C%5Cs%5E1%3A%5C%3A%5C%3A%5C%3A12-%5Cfrac%7B100%7D%7B3%7D%3D-21.3%20%5C%5Cs%5E0%3A%5C%3A%5C%3A%5C%3A25)
2 roots not in LHP
check:
⇒
![s^2 = -3 \limits^+_- 4j = 5e^{j(\pi \limits^+_- 0.92)}\\\\s = \sqrt5 e^{j( \frac{\pi}{2} \limits^+_- 0.46)+n\pi j},\:\:\:\:\: n= 0, 1\\](https://tex.z-dn.net/?f=s%5E2%20%3D%20-3%20%5Climits%5E%2B_-%204j%20%3D%205e%5E%7Bj%28%5Cpi%20%5Climits%5E%2B_-%200.92%29%7D%5C%5C%5C%5Cs%20%3D%20%5Csqrt5%20e%5E%7Bj%28%20%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5Climits%5E%2B_-%20%200.46%29%2Bn%5Cpi%20j%7D%2C%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%20n%3D%200%2C%201%5C%5C)