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

Respuesta :

Answer:

Velocity from second channel will be 1.6875 m/sec

Explanation:

We have given width of the channel , that is diameter of the channel 1 [tex]d_1[/tex] = 12 m

So radius [tex]r_1=\frac{d_1}{2}=\frac{12}{2}=6m[/tex]

Speed through the channel 1 [tex]v_1=0.75m/sec[/tex]

Width , that is diameter of the channel 2 [tex]d_2=4m[/tex]

So [tex]r_2=2m[/tex]

From continuity equation

[tex]A_1v_1=A_2v_2[/tex]

[tex]\pi \times 12^2\times 0.75=4\times \pi\times  4^2\times v_2[/tex]

[tex]v_2=1.6875m/sec[/tex]

So velocity from smaller channel will be 1.6875 m /sec

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