Continuity EquationHardQuestion 6461
Question
Volume flow rate Q = Av. If pipe splits into 5 equal branches (each area A/4), speed in each branch (original speed v₀):
- A4v₀/5Correct
- B5v₀/4
- C4v₀
- Dv₀/5
Correct answer
4v₀/5
Explanation
Q = A×v₀ = 5×(A/4)×v_branch. v_branch = A×v₀/(5A/4) = 4v₀/5 = 4v₀/5.