Calculating Pressure

Physics
Tutor: None Selected Time limit: 1 Day

Your town is installing a fountain in the main square. If the water is to rise 20 m (65.6 feet) above the fountain, how much pressure must the water have as it moves slowly toward the nozzle that sprays it up into the air? Assume atmospheric pressure equal to 100,000 Pa.

Apr 28th, 2015

Height of fountain, h = 20 m

Density of water, ρ = 1000 kg/m^3

Acceleration due to gravity, g = 9.8 m/s^2

We have a formula for the pressure as

 

 P = ρgh

 P = (1000 kg/m^3)(9.8 m/s^2)(20 m)
P = 1000 * 9.8 * 20
P = 196000 atm

In this question the atmospheric pressure is not used in the calculation.

Apr 28th, 2015

the pressure of the water is higher by 96000atm to that of atmosphere. This means water will move out of the nozzle by overcoming the atmospheric pressure.

Apr 28th, 2015

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Apr 28th, 2015
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Apr 28th, 2015
Dec 6th, 2016
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