Question

Water flows through a pipe with a speed of 4m/s and flows out of the nozzle with a diameter of 1cm at a velocity of 16m/s. What is the diameter of the pipe?​

Answer 1

Answer:

2 cm

Explanation:

Mass is conserved, and since density is constant, the volume flow is conserved.

Q₁ = Q₂

v₁ A₁ = v₂ A₂

v₁ (¼ π d₁²) = v₂ (¼ π d₂²)

v₁ d₁² = v₂ d₂²

Plugging in values:

(4 m/s) d₁² = (16 m/s) (1 cm)²

d₁ = 2 cm