Posted by AE on Monday, November 30, 2009 at 9:28pm.
Water flows steadily from an open tank into a pipe. The elevation of the top of the tank is 10.2 m, and the elevation at the pipe is 3.90 m. The initial crosssectional area of the pipe is 6.40×10^−2 m; and at where the water is discharged from the pipe, it is 2.30×10^−2 m. The crosssectional area of the tank is very large compared with the crosssectional area of the pipe. Assuming that Bernoulli's equation applies, compute the volume of water that flows across the exit of the pipe in the time interval 2.40 seconds.

physics  MathMate, Tuesday, December 1, 2009 at 12:15am
The average head is 10.23.9=6.3 m
g=9.8 m/s²
When the area of the orifice is small compared to the tank area, and if the tank is vented, pressure at the water surface equals that of the outlet, then the output velocity is approximately √(2gh).
Volume of discharge
=velocity * area * time
=√(2gh)*2.30×10^−2*2.4
=0.6 m³ approx.
For the derivation of the simplified formula, see:
http://www.engineeringtoolbox.com/bernouilliequationd_183.html
Answer This Question
Related Questions
 phys  Water flows steadily from an open tank into a pipe as shown in the figure...
 Fluid Mechanics  Water flows into a cylindrical tank through pipe 1 at a rate ...
 Math  2 water pipe inlets pumping water into a tank. Pipe "A" fills up the tank...
 algebra  One pipe can fill a tank in 60 minutes and another pipe can fill it in...
 Physics  A 0.8 m diameter tank is filled with water to a depth of 2.2 m and is ...
 Physics  Water is flowing in a pipe with a varying crosssection area, and at ...
 physics  Water is flowing in a pipe with a circular crosssection area ,and at ...
 maths  A water tank can be filled up by two pipes together in 30 minutes. One ...
 math  A 500litre water storage tank is situated at the top of a building at a ...
 physics  A large water tank has an inlet pipe and an outlet pipe. The inlet ...
More Related Questions