Calculating Pressure

label Physics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

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

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 28th, 2015
...
Apr 28th, 2015
Jun 27th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer