Water enters a junction through a pipe of cross-sectional area 12 cm² with speed 5 m/s. One outlet has area 4 cm² and water speed 6 m/s. The second outlet has area 6 cm² and water speed N m/s. Find N.
Physics · Fluid Mechanics · equation of continuity and bornullie theorem
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Question

Water enters a junction through a pipe of cross-sectional area 12 cm² with speed 5 m/s. One outlet has area 4 cm² and water speed 6 m/s. The second outlet has area 6 cm² and water speed N m/s. Find N.

Physics · Fluid Mechanics · equation of continuity and bornullie theorem

G1 Physics · Accepted Answer

For incompressible steady flow, A(in)v(in) = A₁v₁ + A₂v₂. Therefore, 12×5 = 4×6 + 6N. Thus, 60 = 24+6N. Hence, 6N = 36, so N = 6.