Answer:
a) 2622.903 N/m^3
b) 1.38233
c)4.878811765
Explanation:
Find the void ratio using the formula:
![y = \frac{G_{s}*y_{w} + w*G_{s}*y_{w} }{1+e} ....... Eq1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7BG_%7Bs%7D%2Ay_%7Bw%7D%20%2B%20w%2AG_%7Bs%7D%2Ay_%7Bw%7D%20%7D%7B1%2Be%7D%20.......%20Eq1)
Here;
is specific gravity of soil solids
is unit weight of water = 998 kg/m^3
is the moisture content = 0.17
is the void ratio
is the unit weight of soil = 14.9KN/m^3
Saturation Ratio Formula:
![w*G_{s} = S*e ..... Eq2](https://tex.z-dn.net/?f=w%2AG_%7Bs%7D%20%3D%20S%2Ae%20%20.....%20Eq2)
S is saturation rate
Substitute Eq 2 into Eq 1
![y = \frac{(\frac{S*e}{w}) * y_{w} + S*e*y_{w} }{1+e}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B%28%5Cfrac%7BS%2Ae%7D%7Bw%7D%29%20%2A%20y_%7Bw%7D%20%2B%20S%2Ae%2Ay_%7Bw%7D%20%20%7D%7B1%2Be%7D)
![14900 = \frac{3522.352941*e + 598.8*e }{1+e} = \frac{4121.152941*e}{1+e}\\\\ e= 1.38233](https://tex.z-dn.net/?f=14900%20%3D%20%5Cfrac%7B3522.352941%2Ae%20%2B%20598.8%2Ae%20%7D%7B1%2Be%7D%20%3D%20%5Cfrac%7B4121.152941%2Ae%7D%7B1%2Be%7D%5C%5C%5C%5C%20e%3D%201.38233)
Specific gravity of soil solids
![G_{s} = \frac{S*e}{w} = \frac{0.6*1.38233}{0.17} = 4.878811765](https://tex.z-dn.net/?f=G_%7Bs%7D%20%3D%20%5Cfrac%7BS%2Ae%7D%7Bw%7D%20%3D%20%5Cfrac%7B0.6%2A1.38233%7D%7B0.17%7D%20%3D%204.878811765)
Saturated Unit Weight
![y_{s} = \frac{(G_{s} + e)*y_{w} }{1+e} \\=\frac{(4.878811765 + 1.38233)*998 }{1+1.38233}\\\\= 2622.902571 N/m^3](https://tex.z-dn.net/?f=y_%7Bs%7D%20%3D%20%5Cfrac%7B%28G_%7Bs%7D%20%2B%20e%29%2Ay_%7Bw%7D%20%20%7D%7B1%2Be%7D%20%5C%5C%3D%5Cfrac%7B%284.878811765%20%2B%201.38233%29%2A998%20%20%7D%7B1%2B1.38233%7D%5C%5C%5C%5C%3D%202622.902571%20N%2Fm%5E3)
Answer:
the three part are mass, spring, damping
Explanation:
vibrating system consist of three elementary system namely
1) Mass - it is a rigid body due to which system experience vibration and kinetic energy due to vibration is directly proportional to velocity of the body.
2) Spring - the part that has elasticity and help to hold mass
3) Damping - this part considered to have zero mass and zero elasticity.
Answer:
it allows your dash board to light up you MPH RPM and all the other numbers on the spadomter
Explanat
Answer:
80grit
Explanation:
80 grit is coarsest grit that may be used on aluminum
The lowest grit sizes range from 40 to 60. From the given options 80 grit is practically available grit.
What is a sandpaper used for?
They are essentially used for surface preparation. Sandpaper is produced in a range of grit sizes and is used to remove material from surfaces, either to make them smoother (for example, in painting and wood finishing), to remove a layer of material (such as old paint), or sometimes to make the surface rougher (for example, as a preparation for gluing).
Answer:
the overall heat transfer coefficient of this heat exchanger is 1855.8923 W/m²°C
Explanation:
Given:
d₁ = diameter of the tube = 1 cm = 0.01 m
d₂ = diameter of the shell = 2.5 cm = 0.025 m
Refrigerant-134a
20°C is the temperature of water
h₁ = convection heat transfer coefficient = 4100 W/m² K
Water flows at a rate of 0.3 kg/s
Question: Determine the overall heat transfer coefficient of this heat exchanger, Q = ?
First at all, you need to get the properties of water at 20°C in tables:
k = 0.598 W/m°C
v = 1.004x10⁻⁶m²/s
Pr = 7.01
ρ = 998 kg/m³
Now, you need to calculate the velocity of the water that flows through the shell:
![v_{w} =\frac{m}{\rho \pi (\frac{d_{2}^{2}-d_{1}^{2} }{4} )} =\frac{0.3}{998*\pi (\frac{0.025^{2}-0.01^{2} }{4}) } =0.729m/s](https://tex.z-dn.net/?f=v_%7Bw%7D%20%3D%5Cfrac%7Bm%7D%7B%5Crho%20%5Cpi%20%28%5Cfrac%7Bd_%7B2%7D%5E%7B2%7D-d_%7B1%7D%5E%7B2%7D%20%20%7D%7B4%7D%20%29%7D%20%3D%5Cfrac%7B0.3%7D%7B998%2A%5Cpi%20%28%5Cfrac%7B0.025%5E%7B2%7D-0.01%5E%7B2%7D%20%20%7D%7B4%7D%29%20%7D%20%3D0.729m%2Fs)
It is necessary to get the Reynold's number:
![Re=\frac{v_{w}(d_{2}-d_{1}) }{v} =\frac{0.729*(0.025-0.01)}{1.004x10^{-6} } =10891.4343](https://tex.z-dn.net/?f=Re%3D%5Cfrac%7Bv_%7Bw%7D%28d_%7B2%7D-d_%7B1%7D%29%20%7D%7Bv%7D%20%3D%5Cfrac%7B0.729%2A%280.025-0.01%29%7D%7B1.004x10%5E%7B-6%7D%20%7D%20%3D10891.4343)
Like the Reynold's number is greater than 10000, the regime is turbulent. Now, the Nusselt's number:
![Nu=0.023Re^{0.8} Pr^{0.4} =0.023*(10891.4343)^{0.8} *(7.01)^{0.4} =85.0517](https://tex.z-dn.net/?f=Nu%3D0.023Re%5E%7B0.8%7D%20Pr%5E%7B0.4%7D%20%3D0.023%2A%2810891.4343%29%5E%7B0.8%7D%20%2A%287.01%29%5E%7B0.4%7D%20%3D85.0517)
The overall heat transfer coefficient:
![Q=\frac{1}{\frac{1}{h_{1} }+\frac{1}{h_{2} } }](https://tex.z-dn.net/?f=Q%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B1%7D%7Bh_%7B1%7D%20%7D%2B%5Cfrac%7B1%7D%7Bh_%7B2%7D%20%7D%20%20%7D)
Here
![h_{2} =\frac{kNu}{d_{2}-d_{1}} =\frac{0.598*85.0517}{0.025-0.01} =3390.7278W/m^{2}C](https://tex.z-dn.net/?f=h_%7B2%7D%20%3D%5Cfrac%7BkNu%7D%7Bd_%7B2%7D-d_%7B1%7D%7D%20%3D%5Cfrac%7B0.598%2A85.0517%7D%7B0.025-0.01%7D%20%3D3390.7278W%2Fm%5E%7B2%7DC)
Substituting values:
![Q=\frac{1}{\frac{1}{4100}+\frac{1}{3390.7278} } =1855.8923W/m^{2} C](https://tex.z-dn.net/?f=Q%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B1%7D%7B4100%7D%2B%5Cfrac%7B1%7D%7B3390.7278%7D%20%20%7D%20%3D1855.8923W%2Fm%5E%7B2%7D%20C)