Calculating velocity of water flow form tap

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SUMMARY

The discussion focuses on calculating the velocity of water flow from a tap, specifically using a measuring cylinder that collects 475 mL of water per minute with a stream diameter of 0.700 cm. The relevant formula for calculating velocity is identified as v = √(2gh), where 'g' represents gravitational acceleration and 'h' is the height of the water column. Participants emphasize the need to first determine the velocity at the top of the stream before assessing how it changes 20 cm below the top.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the equation of motion for fluids
  • Knowledge of gravitational acceleration (g = 9.81 m/s²)
  • Ability to perform unit conversions (mL to cubic meters)
NEXT STEPS
  • Calculate the initial velocity of the water using the formula v = Q/A, where Q is the flow rate and A is the cross-sectional area.
  • Explore the implications of Bernoulli's principle on fluid velocity changes.
  • Investigate the effects of stream diameter on flow rate and velocity.
  • Learn about the continuity equation in fluid dynamics to understand flow conservation.
USEFUL FOR

Students studying fluid mechanics, physics enthusiasts, and anyone involved in practical applications of fluid flow calculations.

jannx3
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Homework Statement



A measuring cylinder collects 475 mL of this
water in a minute. At the top the diameter of the stream is 0.700 cm.

Homework Equations




What is the velocity of the stream 20.0 cm below the top?

The Attempt at a Solution


im not sure which formula to use?
i was thinking v=√2gh
 
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jannx3 said:

Homework Statement



A measuring cylinder collects 475 mL of this
water in a minute. At the top the diameter of the stream is 0.700 cm.

Homework Equations




What is the velocity of the stream 20.0 cm below the top?

The Attempt at a Solution


im not sure which formula to use?
i was thinking v=√2gh

You are given a known volume of water which collects in a given amount of time in a graduated cylinder with a known diameter. Why do you think v = SQRT(2gh) is the appropriate formula to use? Do you have the necessary information to even use this formula?
 
First, get the velocity of the water at the top.

Then figure out how much the velocity changes 20 cm. below the top.
 

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