Question

A large storage tank, open at the top and filled with water, develops a small hole in its side at a point 17.0 m below the water level. The rate of flow from the leak is found to be 2.20 x 10-3 m/min. ind (a) Determine the speed (in m/s) at which the water leaves the hole. m/s (b) Determine the diameter of the hole in mm). mm (c) What If? If the hole is 10.0 m above the ground and the water is projected horizontally from the hole, how far (in m) from the base of the tank would a bucket have to be initially placed to catch the water from the leak?

Answer 1

h=17m below level. Q = 2.2 A X1053m 31 min a = 2.0 x10-3 mols ay v= fagh 2x9.814 17 T = 18.26 mis - b> Q = AX V A= 1 o² = 2.2x 10-3 60 18.26 BT500125 0²-2008 x 10-6 x 4 = 1.599 mm. D=0.0015989 m

2x Tetlo c> If. H= om, time of fall= 9.81 t= √2h - faxretion time of fall = t = 1.428 sec. dist = t x V = 10428 x 18.26 = 26.07 m.