Water Flow Speed: Diameter 0.2mm to 5mm

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SUMMARY

The discussion centers on calculating the speed of water flow through a tapered pipe, specifically from a diameter of 2.3 cm to 5 mm. The initial speed of water is 0.22 m/s with an area of 4.155 cm². The area at the tapered end is incorrectly calculated, leading to an erroneous flow speed of 465500 m/s. The correct approach requires using consistent units for area calculations, specifically converting diameters to centimeters for accurate results.

PREREQUISITES
  • Understanding of fluid dynamics principles, particularly the continuity equation.
  • Familiarity with unit conversions, especially between centimeters and millimeters.
  • Knowledge of area calculations for circular cross-sections.
  • Basic algebra for solving equations related to flow rates.
NEXT STEPS
  • Study the continuity equation in fluid dynamics.
  • Practice unit conversion techniques between metric measurements.
  • Learn how to calculate the area of a circle using the formula A = πr².
  • Explore common mistakes in fluid flow calculations and how to avoid them.
USEFUL FOR

Students in physics or engineering, plumbers, and anyone involved in fluid mechanics or pipe design will benefit from this discussion.

mikefitz
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Water entering a house flows with a speed of 0.22 m/s through a pipe of 2.3 cm inside diameter. What is the speed of the water at a point where the pipe tapers to a diameter of 5 mm in m/s?

Area 1 = 4.155
Area 2 = 19.635

Flow 1 = 4.155 (.22) = .914 m/s
.914 = 19.635v
v=.04655 mm/s

convert .04655 mm/s to m/s = 465500m/s - woah, wrong! any ideas?
 
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dude ur area is wrong the diameters are 2.3 CM and 5 MM but u calculate ur area in mm^2 for both !
 

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