What is the diameter of a pipe in which water travels 32.0 m in 16.0 sec and has a flow rate of 2,620 L/min?

(The answer is 16.7 cm, I just need help solving it)

1 Answer
Andrea B.
May 3, 2017

d= 0,527 cm

Explanation:

the velocity of water is #v= s/t = (32 m)/ (16 s) = 2 m/s = 20 (dm)/s #
The flow rate #2,62 L/min = 0,0437 (dm^3)/s# is given by the multiplication of pipe section and speed (F = S v), so #S = F/v = (0,0437 (dm^3)/s)/(20 (dm)/s)= 0,00218 dm^2 = 0,218 cm^2#
#S= 3,14 (d^2)/4#
#d= sqrt (4S/(3,14))= 0,527 cm#

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