Water flows steadily through a fire hose and nozzle. The hose is 78 mm inside diameter, and the nozzle tip is 20 mm I. D.; water gage pressure in the hose is 427 kPa, and the stream leaving the nozzle is uniform. The exit speed and pressure are 43 m/s and atmospheric, respectively. Find the force transmitted by the coupling between the nozzle and hose. Indicate whether the coupling is in tension or compression.

The reaction force is 2.776kN as the force is negative and on the left of the Control Volume this indicates that the coupling in in tension.

Explanation:

By applying the continuity equation as

By simplifying the equation

Here

V_2=43 m/2

D1=78 mm

D2=20 mm

So the velocity is given as

Now by applying the equation of momentum in x direction

Here

Substituting the values in the equation gives

So the reaction force is 2.776kN as the force is negative and on the left of the Control Volume this indicates that the coupling in in tension.

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