Flow rate/ Bernoulli's equation

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SUMMARY

The discussion centers on applying Bernoulli's equation to calculate flow speeds and pressure differences in a fluid system involving a garden hose and nozzle. The flow rate is established at 60 cm³/s, with cross-sectional areas of 5.1 cm² for the hose and 1.6 cm² for the nozzle. Participants confirm that the problem requires using Bernoulli's principle to derive the flow speeds at the spigot and nozzle, as well as the pressure difference between these points.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Basic geometry for calculating flow speeds
  • Familiarity with ideal fluid assumptions
NEXT STEPS
  • Calculate flow speeds using the continuity equation
  • Apply Bernoulli's equation to find pressure differences
  • Explore the concept of ideal fluids in fluid dynamics
  • Investigate real-world applications of Bernoulli's principle
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AP Physics students, educators in fluid dynamics, and anyone interested in practical applications of Bernoulli's equation in fluid mechanics.

creamypies
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ap physics student, on this for the first time

The flow rate of water through a garden hose is 60 cm3/s, and the hose and nozzle have cross sectional areas of 5.1 cm2 and 1.6 cm2 respectively.

(a) If the nozzle is held 11 cm above the spigot, what are the flow speeds through the spigot and the nozzle?
spigot
cm/s

nozzle
cm/s

(b) What is the pressure difference between these points? (Consider the water to be an ideal fluid.)
Pa

I think that it is bernoulli's but I could be wrong
 
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welcome to pf!

hi creamypies! welcome to pf! :smile:

(try using the X2 icon just above the Reply box :wink:)
creamypies said:
I think that it is bernoulli's but I could be wrong

Yup, (a) is geometry, and (b) is https://www.physicsforums.com/library.php?do=view_item&itemid=115" (for which you need the speeds from (a)) …

what do you get? :smile:​
 
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