Question

Water is being sprayed from a nozzle at the end of a garden hose of diameter 2.25 cm. If the nozzle has an opening of diameter 1.30 cm, and if the water leaves the nozzle at a speed of 14.0 m/s, what is the speed of the water inside the hose?

Answer 1

4.67 m/s

Explanation:

The equation of continuity for an incompressible fluid is A1v1 = A2v2 where A represents area and v is velocity of the fluid.

If we let the values with subscript 1 be those inside the hose and 2 be those at the nozzle then the question can be solved this way

`A_(1) v_(1) = A_(2) v_(2) \\\\(\pi *0.01125^(2) )*v_(1) = (\pi *0.00065^(2) )*14\\\\v_(1)  = 4.67 m/s`