Question

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

• A. 0.56 m/s
• B. 2.3 m/s
• C. 0.25 m/s
• D. 0.75 m/s

Answer 1

Answer: (A)

0.56 m/s

Answer 2

Av = A₁v₁ + A₂v₂ + A₃v₃ + A₄v₄

Av = 4(A₁v₁)

12 × 0.75 = 4 [4 × v]

v = $\frac { 3 } { 4 }$× 0.75

= 0.75 × 0.75

v = 0.56 m/s