Water is flowing through a channel that is 12 m wide with a speed of 0.75 m s - 1 . The water then flows into four identical channels that have a width of 4.0 m each. The depth of the water does not change as it flows into the four channels. The speed of the water in one of the smaller channels is

Step-by-step solution

Av   =   A 1 v 1   +   A 2 v 2   +   A 3 v 3   +   A 4 v 4 Av   =   4 ( A 1 v 1 ) 12   ×   0.75   =   4   [ 4   ×   v ] v =   3 4 ×   0.75 =   0.75   ×   0.75 v =   0.56   m   s - 1