Water flows steadily through a fire hose and nozzle. The hose is 35 mm diameter and the nozzle tip is 25 mm diameter; water gage pressure in the hose is 510 kP a, and the stream leaving the nozzle is uniform. The exit speed and pressure are 32 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

-0.25 KN

Since, the force transmitted by the coupling between the nozzle and hose is on the left due to the negative sign.

Then the coupling must be in TENSION

Explanation:

Applying continuity and x component of momentum to inertia and using gage pressure to cancel

Δ =

Then;

=

= 32 m/s × 0.5102040816

= 16.33 m/s

and

where;     and    

Since, the force transmitted by the coupling between the nozzle and hose is on the left due to the negative sign.

Then the coupling must be in TENSION

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explanation: