Water is flowing through a pipe joint shown in the figure. The areas A1 and A3 a

Question

Water is flowing through a pipe joint shown in the figure. The areas A1 and A3 are 0.2 m^2 and 0.15 m^2, respectively. Also, A1=A2. Fluid is leaking out of a hole at (4) at a rate of 0.1 m^3/s. The average speeds in sections (1) and (3) are V1=5 m/s and V3=12 m/s, respectively. Calculate the velocity at section (2).

Water is flowing through a pipe joint shown in the figure. The areas A1 and A3 are 0.2 m^2 and 0.15 m^2, respectively. Also, A1=A2. Fluid is leaking out of a hole at (4) at a rate of 0.1 m^3/s. The average speeds in sections (1) and (3) are V1=5 m/s and V3=12 m/s, respectively. Calculate the velocity at section (2).

Explanation / Answer

Total volume in = Total volume out

A1v1 + a2v2=Volume out + a3v3

0.2*5 + 0.2 * v2 = 0.1 + 0.15*12

v2= (0.1 + 0.15*12 -1)/0.2

v2 = 4.5

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