a pipe having a diameter of 3 inches has a rate of flow of 9 gallons per second. Under the same conditions, how many gallons per second is the rate of flow of a pipe having a 5 inch diameter?
2007-06-18 16:20:23 · 2 answers · asked by mala 2 in Science & Mathematics ➔ Mathematics
I'm assuming "the same conditions" means the same fluid velocity.
Volume flow rate equals the velocity times the cross-sectional area. If the diameter of the pipe doubles, the area of the pipe is 4 times greater, since area goes as the radius squared.
Since the ratio of the radii is 5/3, the ratio of volume flow rate is
(5/3)^2
= 25/9
The smaller pipe has a volume flow rate of 9 gal/s, so the larger pipe has a volume flow rate of:
Q = (9 gal/s) * (25/9)
Q = 25 gal/s
2007-06-18 16:28:48 · answer #1 · answered by lithiumdeuteride 7 · 0⤊ 0⤋
wouldn't you just set up a proportion and it would be 15 gallons per second
2007-06-18 23:25:27 · answer #2 · answered by Hugh Jazz 1 · 0⤊ 0⤋