1)The Trans-Alaskan pipeline carries oil 800 miles from where its produced in Pr
ID: 2255134 • Letter: 1
Question
1)The Trans-Alaskan pipeline carries oil 800 miles from where its produced in Prudhoe Bay to the port of Valdez, Alaska. If the pipe's average radius is 24 inches (.61 m) and travels at an average speed of 6 mph (2.68 m/s), Assume the density of oil to be 711 kg/m3.
A) What is its Volume flow rate?
B)What is it's Mass Flow Rate?
2)The standard reference for 1 kilogram is a platinum-iridium cylinder 39.0 mm in height and 39.00 mm in diameter. What is the density of this material?
The Trans-Alaskan pipeline carries oil 800 miles from where its produced in Prudhoe Bay to the port of Valdez, Alaska. If the pipe's average radius is 24 inches (.61 m) and travels at an average speed of 6 mph (2.68 m/s), Assume the density of oil to be 711 kg/m3. What is its Volume flow rate? What is it's Mass Flow Rate? The standard reference for 1 kilogram is a platinum-iridium cylinder 39.0 mm in height and 39.00 mm in diameter. What is the density of this material? A cylindrical tube has an area of 0.2 m2 at point A and an area of 0.1 m2 at point C. If the water velocity at point A is 4.0 m/s, what is the water velocity at point C? Where is the pressure the highest? Where is water velocity the highest?Explanation / Answer
1) Volume flow rate = velocity * area of cross section = 2.68 * (pi * 0.61^2) = 3.132 m^3 / s
Mass flow rate = volume flow rate * density = 3.132 m^3 / s * 711 kg / m^3 = 2227.48 kg /s
2) Density = Mass /volume
volume = (Pi * r^2 * h) = (pi * (0.039/2)^2 * 0.039) = 4.6589 * 10^-5 m^3
Density = 1 / Volume = 21464.27 kg / m^3
3)
From continuity equation
A1V1 = A2V2
A1 = 0.2 m^2
A2 = 0.1 m^2
V1 = 4.0 m/s
V2 = ?
V2 = V1 ( A1 / A2) = 4 * 0.2 /0.1 = 8.0 m/s = velocity at C
Pressure is highest where the velocity is minimum i.e at point A. This is a result of Bernoulli's principle.
Velocity is maximum at point C where the cross section is the smallest.
Hope this helps. Thanks.
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