This question is not complete, the complete question is;
The stagnation chamber of a wind tunnel is connected to a high-pressure air bottle farm which is outside the laboratory building. The two are connected by a long pipe of 4-in inside diameter. If the static pressure ratio between the bottle farm and the stagnation chamber is 10, and the bottle-farm static pressure is 100 atm, how long can the pipe be without choking? Assume adiabatic, subsonic, one-dimensional flow with a friction coefficient of 0.005
Answer:
the length of the pipe is 11583 in or 965.25 ft
Explanation:
Given the data in the question;
Static pressure ratio; p1/p2 = 10
friction coefficient f = 0.005
diameter of pipe, D =4 inch
first we obtain the value from FANN0 FLOW TABLE for pressure ratio of ( p1/p2 = 10 )so
4fL
/ D = 57.915
we substitute
(4×0.005×L
) / 4 = 57.915
0.005L
= 57.915
L
= 57.915 / 0.005
L
= 11583 in
Therefore, the length of the pipe is 11583 in or 965.25 ft
Answer:
80.16 m/s^2
at t=2 s
x=42.3 m
y=16 m
z=14 m
Explanation:
solution
The x,y,z components of the velocity are donated by the i,j,k vectors.
![v_{x}=16t^{2} \\v_{y}=4t^{3}\\v_{z}=5t+2](https://tex.z-dn.net/?f=v_%7Bx%7D%3D16t%5E%7B2%7D%20%20%5C%5Cv_%7By%7D%3D4t%5E%7B3%7D%5C%5Cv_%7Bz%7D%3D5t%2B2)
acceleration is a derivative of velocity with respect to time.
![a_{x}=\frac{d}{dt} v_{x}=\frac{d}{dt}[16t^{2}]=32t\\a_{y}=\frac{d}{dt} v_{y}=\frac{d}{dt}[4t^{3}]=12t^{2} \\a_{z}=\frac{d}{dt} v_{z}=\frac{d}{dt}[5t+2]=5](https://tex.z-dn.net/?f=a_%7Bx%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%20v_%7Bx%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B16t%5E%7B2%7D%5D%3D32t%5C%5Ca_%7By%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%20v_%7By%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B4t%5E%7B3%7D%5D%3D12t%5E%7B2%7D%20%5C%5Ca_%7Bz%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%20v_%7Bz%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B5t%2B2%5D%3D5)
evaluate acceleration at 2 seconds
![a_{x} =32*2=64m/s^{2}\\ a_{y} =12*2^{2} =48m/s^{2}\\a_{z} =5m/s^{2}](https://tex.z-dn.net/?f=a_%7Bx%7D%20%3D32%2A2%3D64m%2Fs%5E%7B2%7D%5C%5C%20a_%7By%7D%20%3D12%2A2%5E%7B2%7D%20%3D48m%2Fs%5E%7B2%7D%5C%5Ca_%7Bz%7D%20%3D5m%2Fs%5E%7B2%7D)
the magnitude of the acceleration is the square root of the sum of the square of each component of the acceleration.
![=\sqrt{a_{x}^2 +a_{y}^2+a_{z} ^2 } \\=\sqrt{64^2 +48^2+5 ^2 }\\=80.16m/s^2](https://tex.z-dn.net/?f=%3D%5Csqrt%7Ba_%7Bx%7D%5E2%20%2Ba_%7By%7D%5E2%2Ba_%7Bz%7D%20%5E2%20%7D%20%5C%5C%3D%5Csqrt%7B64%5E2%20%2B48%5E2%2B5%20%5E2%20%7D%5C%5C%3D80.16m%2Fs%5E2)
position is the integral of velocity with respect to time position at a time can be found by taking by taking the definite intergral of each component.
![x=\int\limits {v_{x} } \, dx=\int\limits^2_0 {{16t^2} \, dt=42.7m\\\\y=\int\limits {v_{y} } \, dx=\int\limits^2_0 {{4t^3} \, dt=16m\\\\\\\\\\z=\int\limits {v_{z} } \, dx=\int\limits^2_0 {{5t+2} \, dt=14m\\\\](https://tex.z-dn.net/?f=x%3D%5Cint%5Climits%20%7Bv_%7Bx%7D%20%7D%20%5C%2C%20dx%3D%5Cint%5Climits%5E2_0%20%7B%7B16t%5E2%7D%20%5C%2C%20dt%3D42.7m%5C%5C%5C%5Cy%3D%5Cint%5Climits%20%7Bv_%7By%7D%20%7D%20%5C%2C%20dx%3D%5Cint%5Climits%5E2_0%20%7B%7B4t%5E3%7D%20%5C%2C%20dt%3D16m%5C%5C%5C%5C%5C%5C%5C%5C%5C%5Cz%3D%5Cint%5Climits%20%7Bv_%7Bz%7D%20%7D%20%5C%2C%20dx%3D%5Cint%5Climits%5E2_0%20%7B%7B5t%2B2%7D%20%5C%2C%20dt%3D14m%5C%5C%5C%5C)
Ehheem✔️
Explanation:
✔️✖️✔️✖️✔️✖️
Answer:
uhhhhh, are you kidding? a GTX 3060 is far better than a 1060 ding dong
Explanation: