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?

Respuesta :

Answer:

4.67 m/s

Step-by-step 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

[tex]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[/tex]