Simple volume flow rate calculation

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SUMMARY

The discussion centers on calculating the volume flow rate in a pipe with varying diameters. The user initially struggled with the formula, mistakenly using diameter instead of radius and miscalculating units. The correct approach involves using the formula Q = A × v, where Q is the volume flow rate, A is the cross-sectional area, and v is the velocity. The user confirmed that all segments should yield the same flow rate when calculated correctly.

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  • Understanding of fluid dynamics principles
  • Familiarity with the formula for volume flow rate (Q = A × v)
  • Knowledge of unit conversions between centimeters and meters
  • Ability to calculate the area of a circle using radius
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  • Study the principles of fluid dynamics in greater detail
  • Learn how to calculate cross-sectional areas for different shapes
  • Explore unit conversion techniques for fluid measurements
  • Investigate the continuity equation in fluid flow
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Students in physics or engineering, fluid mechanics enthusiasts, and professionals involved in hydraulic systems or pipe flow calculations.

Metalsonic75
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[SOLVED] Simple volume flow rate calculation

A 1.0-cm-diameter pipe widens to 2.0 cm, then narrows to 0.5 cm. Liquid flows through the first segment at a speed of 4.0m/s. The speed in the second segment is 1m/s, and the speed in the 3rd segment is 16 m/s

I thought that volume flow rate was simply Av, but I've tried many combinations of the 3 cross-sectional areas and 3 speeds with no success. Do I need to add them all up and multiply? Do I need to take averages? Oh, and should I have my units in terms of meters or centimeters? I'm really baffled as to why my answers aren't working, because I know it's a fairly simple problem. Any help would be appreciated. Thanks
 
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All three should give the same answer when multiplying the area and the velocity. Check your units and that you're using radius not diameter.
 
Got it. I was off by a factor of 10. Thanks
 

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