The water flowing through a 1.9 cm (inside diameter) pipe flows out through thre
ID: 1780837 • Letter: T
Question
The water flowing through a 1.9 cm (inside diameter) pipe flows out through three 1.2 cm pipes. (a) If the flow rates in the three smaller pipes are 23, 17, and 11 L/min, what is the flow rate in the 1.9 cm pipe? (b) What is the ratio of the speed of water in the 1.9 cm pipe to that in the pipe carrying 23 L/min?
The water flowing through a 1.9 cm (inside diameter) pipe flows out through three 1.2 cm pipes. (a) If the flow rates in the three smaller pipes are 23, 17, and 11 L/min, what is the flow rate in the 1.9 cm pipe? (b) What is the ratio of the speed of water in the 1.9 cm pipe to that in the pipe carrying 23 L/min?
The water flowing through a 1.9 cm (inside diameter) pipe flows out through three 1.2 cm pipes. (a) If the flow rates in the three smaller pipes are 23, 17, and 11 L/min, what is the flow rate in the 1.9 cm pipe? (b) What is the ratio of the speed of water in the 1.9 cm pipe to that in the pipe carrying 23 L/min?
Explanation / Answer
No water is lost or stored, just add.
call Q the flow per second in each pipe.
Q big pipe = 23 + 17 + 11 = 51 L/min
Q little pipe = 23 L/min
Vbig pipe pi rBig^2 = 51
Vsmall pipe pi rsmall^2 = 23
so Vsmall = 23/[pi(1.2^2 /4)]
vbig = 51/[pi(1.9^2/4)]
vbig/vsmall = (51/23)(1.9^2/1.2^2) = 5.56
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