The three water-filled tanks shown in the figure below are connected by pipes as indicated. If minor losses are neglected, determine the flow rate in each pipe (+ is out and - is into the reservoir)
Assume $h_A = 60$ m, $h_B = 70$ m, $h_C = 20$ m, $\ell_1 = 400$ m, $\ell_2 = 350$ m, and $\ell_3 = 700$ m.
Elevation = $h_A$
Elevation = $h_B$
Elevation = $h_C$
$D_1 = 0.10$ m
$\ell_1^1 = 0.015$
$D_2 = 0.08$ m
$\ell_2^2 = 0.020$
$D_3 = 0.08$ m
$\ell_3^3 = 0.020$
$Q_A =$
$Q_B =$
$Q_C =$