The sluice gate shown is in a channel that is 6 feet wide Th

The sluice gate shown is in a channel that is 6 feet wide. The depth of yo is 4 feet and the depth of yi is 1 feet. Assume no loss of energy. a. What are the velocities Vo and Vi (in f/s)? b. What is the discharge Q (in cfs)? 3. yo

Solution

Solution:-

Given

Width of sluice gate(b) = 6 feet

y₁ = 1 feet

y₀ = 4 feet

Discharge(Q) = V₁A₁

                                   = V₁by₁

Also Discharge(Q) = V₀A₀

                                 = V₀by₀

For no energy loss

V₁ = (2gy₀)^(1/2)

     = (2*32*4)^(1/2)

V₁ = 16 feet/second           Answer

Discharge (Q) = V₁by₁

                        = 16*6*1

                        = 96 cfs    Answer

We know that

Q = V₀by₀

V₀ = Q/(by₀)

     = 96/(6*4)

V₀ = 4 feet/second   Answer