Answer:
26 lbf
Explanation:
The mass of the satellite is the same regardless of where it is.
The weight however, depends on the acceleration of gravity.
The universal gravitation equation:
g = G * M / d^2
Where
G: universal gravitation constant (6.67*10^-11 m^3/(kg*s))
M: mass of the body causing the gravitational field (mass of Earth = 6*10^24 kg)
d: distance to that body
15000 miles = 24140 km
The distance is to the center of Earth.
Earth radius = 6371 km
Then:
d = 24140 + 6371 = 30511 km
g = 6.67*10^-11 * 6*10^24 / 30511000^2 = 0.43 m/s^2
Then we calculate the weight:
w = m * a
w = 270 * 0.43 = 116 N
116 N is 26 lbf
Answer:
overflow rate 20.53 m^3/d/m^2
Detention time 2.34 hr
weir loading 114.06 m^3/d/m
Explanation:
calculation for single clarifier
![sewag\ flow Q = \frac{12900}{2} = 6450 m^2/d](https://tex.z-dn.net/?f=sewag%5C%20%20flow%20Q%20%3D%20%5Cfrac%7B12900%7D%7B2%7D%20%3D%206450%20m%5E2%2Fd)
![surface\ area =\frac{pi}{4}\times diameter ^2 = \frac{pi}{4}\times 20^2](https://tex.z-dn.net/?f=surface%5C%20%20area%20%3D%5Cfrac%7Bpi%7D%7B4%7D%5Ctimes%20diameter%20%5E2%20%3D%20%5Cfrac%7Bpi%7D%7B4%7D%5Ctimes%2020%5E2)
![surface area = 314.16 m^2](https://tex.z-dn.net/?f=surface%20area%20%3D%20314.16%20m%5E2)
volume of tank![V = A\times side\ water\ depth](https://tex.z-dn.net/?f=%20V%20%20%3D%20A%5Ctimes%20side%5C%20water%5C%20depth)
![=314.16\times 2 = 628.32m^3](https://tex.z-dn.net/?f=%3D314.16%5Ctimes%202%20%3D%20628.32m%5E3)
![Length\ of\ weir = \pi \times diameter of weir](https://tex.z-dn.net/?f=Length%5C%20of%5C%20%20weir%20%3D%20%5Cpi%20%5Ctimes%20diameter%20of%20weir)
![= \pi \times 18 = 56.549 m](https://tex.z-dn.net/?f=%20%3D%20%5Cpi%20%5Ctimes%2018%20%3D%2056.549%20m)
overflow rate =![v_o = \frac{flow}{surface\ area} = \frac{6450}{314.16} = 20.53 m^3/d/m^2](https://tex.z-dn.net/?f=%20v_o%20%3D%20%5Cfrac%7Bflow%7D%7Bsurface%5C%20area%7D%20%3D%20%5Cfrac%7B6450%7D%7B314.16%7D%20%3D%2020.53%20m%5E3%2Fd%2Fm%5E2)
Detention time![t_d = \frac{volume}{flow} = \frac{628.32}{6450} \times 24 = 2.34 hr](https://tex.z-dn.net/?f=%20t_d%20%3D%20%5Cfrac%7Bvolume%7D%7Bflow%7D%20%3D%20%5Cfrac%7B628.32%7D%7B6450%7D%20%5Ctimes%2024%20%3D%202.34%20hr)
weir loading![= \frac{flow}{weir\ length} = \frac{6450}{56.549} = 114.06 m^3/d/m](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7Bflow%7D%7Bweir%5C%20length%7D%20%3D%20%5Cfrac%7B6450%7D%7B56.549%7D%20%3D%20114.06%20m%5E3%2Fd%2Fm)
Answer:
![h=0.46m](https://tex.z-dn.net/?f=h%3D0.46m)
Explanation:
From the question we are told that:
Velocity of water ![V=3m/s](https://tex.z-dn.net/?f=V%3D3m%2Fs)
Height=?
Generally, the equation for Water Velocity is mathematically given by
![V=\sqrt{2gh}](https://tex.z-dn.net/?f=V%3D%5Csqrt%7B2gh%7D)
Therefore Height h is given as
![h=\frac{v}{2g}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7Bv%7D%7B2g%7D)
![h=\frac{3^2}{2*9.81}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B3%5E2%7D%7B2%2A9.81%7D)
![h=0.46m](https://tex.z-dn.net/?f=h%3D0.46m)
Answer:
The speed of the sound for the adiabatic gas is 313 m/s
Explanation:
For adiabatic state gas, the speed of the sound c is calculated by the following expression:
Where R is the gas's particular constant defined in terms of Cp and Cv:
For particular values given:
The gamma undimensional constant is also expressed as a function of Cv and Cp:
And the variable T is the temperature in Kelvin. Thus for the known temperature:
The Jules unit can expressing by:
Replacing the new units for the speed of the sound:
![c=313 m/s](https://tex.z-dn.net/?f=c%3D313%20m%2Fs)
Answer:
6.5 × 10¹⁵/ cm³
Explanation:
Thinking process:
The relation ![N_{o} = N_{i} * \frac{E_{f}-E_{i} }{KT}](https://tex.z-dn.net/?f=N_%7Bo%7D%20%3D%20N_%7Bi%7D%20%2A%20%5Cfrac%7BE_%7Bf%7D-E_%7Bi%7D%20%20%7D%7BKT%7D)
With the expression Ef - Ei = 0.36 × 1.6 × 10⁻¹⁹
and ni = 1.5 × 10¹⁰
Temperature, T = 300 K
K = 1.38 × 10⁻²³
This generates N₀ = 1.654 × 10¹⁶ per cube
Now, there are 10¹⁶ per cubic centimeter
Hence, ![N_{d} = 1.65*10^{16} - 10^{16} \\ = 6.5 * 10^{15} per cm cube](https://tex.z-dn.net/?f=N_%7Bd%7D%20%20%3D%201.65%2A10%5E%7B16%7D%20%20-%2010%5E%7B16%7D%20%5C%5C%20%20%20%20%20%20%20%20%20%20%20%3D%206.5%20%2A%2010%5E%7B15%7D%20per%20cm%20cube)