Answer to Question #290496 in Molecular Physics | Thermodynamics for Aliana

Question

Water flows through a garden house with inner diameter 1.5 cm at a speed of 2.9 m/s. Calculate the speed of water escape from the nozzle if the opening is reduce to a diameter of 0.50 cm

Answer 1

Solution

Using continuity equation of fluid mechanics

$A_1v_1=A_2v_2$

In form of diameter

$D_1^2v_1=D_2^2v_2$

Putting values diameters and speed

Velocity

$v_2=\frac{D_1^2 v_1}{D_2^2}\\=\frac{(0.015) ^2\times2.9}{(0.005) ^2}$

=26.1m/sec.