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As water is pumped through a series of pipes, it travels from pipe A of radius r directly to pipe B of radius 1/4 r. Which of the following is true?
A. the amount of volume flowing through pipe A per unit time is 1/16 of that flowing through pipe B
B. the amount of volume flowing through pipe A per unit time is 16 times that flowing through pipe B.
C. the amount of distance the water travels in pipe A per unit time is 1/16 of that in pipe B
D. the amount of distance the water travels in pipe A per unit time is 16 times that in pipe B
I know that by using the continuity equation A1V1 = A2V2 you get:
(pi)r^2 = (pi)(1/4)^2
(pi)r^2 = (pi)(1/16)
I picked A but the answer is C. I'm obviously confusing on this concept. Why is it that the answer is on the "amount of distance the water travels" versus the "amount of volume flowing through"? My take on the continuity equation is that it tells the volume flow rate. Thanks!
A. the amount of volume flowing through pipe A per unit time is 1/16 of that flowing through pipe B
B. the amount of volume flowing through pipe A per unit time is 16 times that flowing through pipe B.
C. the amount of distance the water travels in pipe A per unit time is 1/16 of that in pipe B
D. the amount of distance the water travels in pipe A per unit time is 16 times that in pipe B
I know that by using the continuity equation A1V1 = A2V2 you get:
(pi)r^2 = (pi)(1/4)^2
(pi)r^2 = (pi)(1/16)
I picked A but the answer is C. I'm obviously confusing on this concept. Why is it that the answer is on the "amount of distance the water travels" versus the "amount of volume flowing through"? My take on the continuity equation is that it tells the volume flow rate. Thanks!