Water is moving at a velocity of 2.17 m/s through a hose with an internal diameter of 1.60 cm. The fluid velocity in this hose's nozzle is 14.5 m/s. What is the nozzle's inside diameter, in cm?

0.619 cm

Explanation:

V = 2.17 m/s, diameter internal, D = 1.60 cm

v = 14.5 m/s, inside diameter, d = ?

According to the equation of continuity,

A V = a v

3.14 x (1.60/2) ^2 x 2.17 = 3.14 x (d/2) ^2 x 14.5

5.5552 / 4 = d^2 x 3.625

d = 0.619 cm