A cylindrical tank with a large diameter is filled with water. Water drains out through a hole at a bottom of the tank. If the cross-sectional area of the hole is 6   cm 2 then the drainage rate m 3   s - 1 when the depth of the water is 0 . 2   m , is

Step-by-step solution

Applying the Bernoulli equation, p 1 + 1 2 ρ v 1 2 + ρ g h 1 = p 2 + 1 2 ρ v 2 2 + ρ g h 2 Here, the height of the water in the tank is h 1 , p 1 is the pressure of water in the tank, and v 1 is the velocity of the water. h 2 is the hole's height, p 2 is the pressure at hole, and v 2 is the water's pace at the hole and ρ represents the water density. There acts the same atmospheric pressure at the top of the tank and at the hole, thus p 1 = p 2 . We will neglect the water velocity a