Force (Thrust) produced by a water pump at hose end

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SUMMARY

The discussion focuses on calculating the thrust produced by a water pump at the end of a hose, specifically using water with a density of 1000 kg/m³ and a flow rate of 1000 L/m. The specifications include a hose diameter of 6 cm and a pump head of 25 m, which translates to a pressure of 3.5 kg/cm². The objective is to determine if the thrust generated can lift a 10 kg weight, requiring approximately 98 N of force. Theoretical calculations suggest that the correct formula for thrust can be derived from the principles of fluid dynamics.

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als29192
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Hi all,

I have been searching for days (and trying many different formulas) to try and work out the force (thrust) produced by a water pump at the end of a hose (given a perfect frictionless world) and was hoping someone could help...

The following specifications are given:

Fluid: Water (Density = 1000kg/m3)
Inlet/Outlet/Hose diameter: 6cm
Inlet/Outlet/Hose area: 0.028m2
Flow rate of pump: 1000L/m
Pump Head: 25m = 3.5kg/cm2 - Head to Pressure: p(kg/cm2) = 0.1 h(m)
Starting velocity of water: 0m/s
Pump height: 0m

What would be the correct formula to determine the thrust produced by the exiting water, think of the hose exit as a rocket engine exit... Essentially, I'm trying to workout if the following theoretical pump could lift say a 10kg weight off the ground (require around 98N for force).

If you need any more information please let me know!

Thanks,

Adam
 
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