Water enters a pipe at cross-sectional area A1 that branches out into a sections at equal area A2 & A3 at one instant How velocity are v1=2m/s,v2=3m/s &v3=5m/s at another instant v1=3m/s,v2=4m/s. find v3.

# Water enters a pipe at cross-sectional area A1 that branches out into a sections at equal area A2 & A3 at one instant How velocity are v1=2m/s,v2=3m/s &v3=5m/s at another instant v1=3m/s,v2=4m/s. find v3.

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First case: A1V1 = A2V2 +A3V3 ( Flow rate shall be same) A1*2 = A2( V2+V3) as A2 and A3 are same A1*2= A2(3+5) A1=4A2 Now, second case A1V1 =A2(V2 +V3) A1*3 = A2(4+V3) 4A2*3 =A2(4+V3) 12 = 4 + V3 so, V3 = 8 m/s

First case:

A1V1 = A2V2 +A3V3 ( Flow rate shall be same)

A1*2 = A2( V2+V3) as A2 and A3 are same

A1*2= A2(3+5)

A1=4A2

Now, second case

A1V1 =A2(V2 +V3)

A1*3 = A2(4+V3)

4A2*3 =A2(4+V3)

12 = 4 + V3

so, V3 = 8 m/s

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