Wednesday, April 28, 2010

Oil is flowing with a speed of 1.03 m/s through a pipeline with a radius of 0.312 m.?

I keep getting 83 gal. %26gt;%26lt; Help


Oil is flowing with a speed of 1.03 m/s through a pipeline with a radius of 0.312 m. How many gallons of oil (1 gal = 3.79 10^-3 m^3) flow in one day?





____galOil is flowing with a speed of 1.03 m/s through a pipeline with a radius of 0.312 m.?
Q = flow rate = VA





where





V = fluid speed = 1.03 m/sec


A = cross sectional area of pipeline = pi(0.312)^2 = 0.306 m^2





Substituting values,





Q = (1.03)(0.306) = 0.3152 m^3/sec.





In one day,





Q = [0.3152 m^3/sec]*(3600 sec/hr)(24 hrs/day)





Q = 27,233.28 m^3/day * 1gal/3.79 x 10-3 m^3





Q = 7185.56 x 10^3 gallons





Q = 7.2 million gallons/day





Hope this helps.

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