Answer:3.47 m
Explanation:
Given
Temperature(T)=300 K
velocity(v)=1.5 m/s
At 300 K
![\mu =1.846 \times 10^{-5} Pa-s](https://tex.z-dn.net/?f=%5Cmu%20%3D1.846%20%5Ctimes%2010%5E%7B-5%7D%20Pa-s)
![\rho =1.77 kg/m^3](https://tex.z-dn.net/?f=%5Crho%20%3D1.77%20kg%2Fm%5E3)
And reynold's number is given by
![Re.=\frac{\rho v\time x}{\mu }](https://tex.z-dn.net/?f=Re.%3D%5Cfrac%7B%5Crho%20v%5Ctime%20x%7D%7B%5Cmu%20%7D)
![5\times 10^5=\frac{1.77\times 1.5\times x}{1.846\times 10^{-5}}](https://tex.z-dn.net/?f=5%5Ctimes%2010%5E5%3D%5Cfrac%7B1.77%5Ctimes%201.5%5Ctimes%20x%7D%7B1.846%5Ctimes%2010%5E%7B-5%7D%7D)
![x=\frac{5\times 10^5\times 1.846\times 10^{-5}}{1.77\times 1.5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Ctimes%2010%5E5%5Ctimes%201.846%5Ctimes%2010%5E%7B-5%7D%7D%7B1.77%5Ctimes%201.5%7D)
x=3.47 m
Answer:
N = 38546.82 rpm
Explanation:
= 150 mm
![A_{1}= \frac{\pi }{4}\times 150^{2}](https://tex.z-dn.net/?f=A_%7B1%7D%3D%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%5Ctimes%20150%5E%7B2%7D)
= 17671.45 ![mm^{2}](https://tex.z-dn.net/?f=mm%5E%7B2%7D)
= 250 mm
![A_{2}= \frac{\pi }{4}\times 250^{2}](https://tex.z-dn.net/?f=A_%7B2%7D%3D%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%5Ctimes%20250%5E%7B2%7D)
= 49087.78 ![mm^{2}](https://tex.z-dn.net/?f=mm%5E%7B2%7D)
The centrifugal force acting on the flywheel is fiven by
F = M (
-
) x
------------(1)
Here F = ( -UTS x
+ UCS x
)
Since density, ![\rho = \frac{M}{V}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7BM%7D%7BV%7D)
![\rho = \frac{M}{A\times t}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7BM%7D%7BA%5Ctimes%20t%7D)
![M = \rho \times A\times t](https://tex.z-dn.net/?f=M%20%3D%20%5Crho%20%5Ctimes%20A%5Ctimes%20t)
![M = 7100 \times \frac{\pi }{4}\left ( D_{2}^{2}-D_{1}^{2} \right )\times t](https://tex.z-dn.net/?f=M%20%3D%207100%20%5Ctimes%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%5Cleft%20%28%20D_%7B2%7D%5E%7B2%7D-D_%7B1%7D%5E%7B2%7D%20%5Cright%20%29%5Ctimes%20t)
![M = 7100 \times \frac{\pi }{4}\left ( 250^{2}-150^{2} \right )\times 37](https://tex.z-dn.net/?f=M%20%3D%207100%20%5Ctimes%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%5Cleft%20%28%20250%5E%7B2%7D-150%5E%7B2%7D%20%5Cright%20%29%5Ctimes%2037)
![M = 8252963901](https://tex.z-dn.net/?f=M%20%3D%208252963901)
∴
-
= 50 mm
∴ F = ![763\times \frac{\pi }{4}\times 250^{2}-217\times \frac{\pi }{4}\times 150^{2}](https://tex.z-dn.net/?f=763%5Ctimes%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%5Ctimes%20250%5E%7B2%7D-217%5Ctimes%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%5Ctimes%20150%5E%7B2%7D)
F = 33618968.38 N --------(2)
Now comparing (1) and (2)
![33618968.38 = 8252963901\times 50\times \omega ^{2}](https://tex.z-dn.net/?f=33618968.38%20%3D%208252963901%5Ctimes%2050%5Ctimes%20%5Comega%20%5E%7B2%7D)
∴ ω = 4036.61
We know
![\omega = \frac{2\pi N}{60}](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7B2%5Cpi%20N%7D%7B60%7D)
![4036.61 = \frac{2\pi N}{60}](https://tex.z-dn.net/?f=4036.61%20%3D%20%5Cfrac%7B2%5Cpi%20N%7D%7B60%7D)
∴ N = 38546.82 rpm
Answer:
L = 475.718
T = 240.89 ft
M = 23.0195
LC = 472.728
R = 1225 ft
Explanation:
See the attached file for the calculation.
One notable disadvantage of liquid cooling over air cooling is that it is considerably costly to set up. Cooling fans are prevalent in the market, and this overabundance of supply means they are cheap. The components of a liquid cooling system can be expensive.