Answer :
The velocity is 2H/Sec, headed loss is 5.14H, water depth upstream is 0.228 H.
What is velocity?
The velocity of an object is the most crucial factor in establishing its location and rate of motion. It may be defined as the distance that an object covers in a specific length of time. Velocity is the measure of an object's movement over time.
What is hydraulic ?
Field of science focused on using fluids, usually liquids, in motion for practical purposes. It is connected to fluid mechanics, which serves as the theoretical underpinning for much of it.
wide B= 2H
Flow rate Q= 10H³/sec
Depth downstream y₂= 2.5H
velocity of downstream Q/BY₂= 10/2*2.5
=2H/Sec
Frauded number for downstream fr₂ = v₂/[tex]\sqrt{gr2}[/tex]
=2/[tex]\sqrt{32.2*2.5}[/tex]
=0.223
water depth upstream
y₁= y₂/2[[tex]\sqrt{1+8fr2-1}[/tex]]
=3.5/2 [[tex]\sqrt{1+fr2*1.8*0.233}[/tex]]
=0.228 H
Velocity of upstream v₁= Q/BY₁= 10/ 2*0.288
Frauded number = V₁/[tex]\sqrt{gr2}[/tex] = 21.96/[tex]\sqrt{30.2*0.200}[/tex]
=8.09
headed loss hl= (v₂-v₁)²
= (2.5-0.228)³
=5.14H
Therefore, velocity is 2H/Sec, headed loss is 5.14H, water depth upstream is 0.228 H.
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