Calculating Friction Force, Mass and Gauge Pressure in an Emergency Tank

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SUMMARY

This discussion focuses on calculating the friction force, mass flow rate, and gauge pressure in a water tank system using Bernoulli's equation. The tank maintains a water level of 7.50 m above a nozzle with a diameter of 2.35 cm. The friction force exerted by the nozzle on the stopper is determined to be equal to the pressure head of the water. Additionally, the mass of water flowing from the nozzle in 2.00 hours is calculated, along with the gauge pressure just behind the nozzle, which is derived from the absolute pressure minus atmospheric pressure.

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jenha14
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A village maintains a large tank with an open top, containing water for emergencies. The water can drain from the tank through a hose of diameter 6.15 cm. The hose ends with a nozzle of diameter 2.35 cm. A rubber stopper is inserted into the nozzle. The water level in the tank is kept 7.50 m above the nozzle.
(a) Calculate the friction force exerted by the nozzle on the stopper.
(b) The stopper is removed. What mass of water flows from the nozzle in 2.00 h?
(c) Calculate the gauge pressure of the flowing water in the hose just behind the nozzle.


Do I need to use Bernoulli's eqution?
 
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If friction holds the stopper in the nozzle, then the friction force must equal the force of the water, i.e. the pressure head.

Yes, use Bernoulli's equation.

The gauge pressure is just the absolute pressure minus the atmospheric pressure.
 

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