A 5 gallon cylindrical tank contains orange juice.
http://i6.tinypic.com/6g1rqlh.gif
It took 15 seconds to fill the first 10 oz glass.
(ignore viscosity of the juice)
2007-09-13 10:21:21 · 2 answers · asked by Alexander 6 in Science & Mathematics ➔ Physics
If we assume that flow rate is directly proportional to pressure head, we have an asymptotic approach to emptying the tank, so it never empties. However flow rate actually depends on the square root of the pressure head (see ref.), so, oddly enough the tank empties in a finite time. This time is equal to twice the time constant implied by the initial flow rate divided by the volume. As an approximation, since 10 oz is a small part of 5 gal, we can say t = 2*(15/10 * 10/(5*128)) = 192 s.
2007-09-14 01:48:33 · answer #1 · answered by kirchwey 7 · 2⤊ 0⤋
It will take longer than 16 minutes...as the tank empties, the hydrostatic head decreases.
15 sec x 5 gal x 128 fl oz / 10 fl oz = 960 sec = 16 minutes
2007-09-13 17:32:32 · answer #2 · answered by skipper 7 · 0⤊ 0⤋