Volume Flow Rates In Physics Problems Article

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HomeAcademics & The Arts ArticlesScience ArticlesPhysics ArticlesVolume Flow Rates in Physics ProblemsByThe Experts at Dummies Updated2016-03-26 07:27:56From the bookPhysics I: 501 Practice Problems For Dummies (+ Free Online Practice)Share

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Using physics, you can determine how the flow rate of a liquid is affected by cross-sectional area. For example, using the equation of continuity, given the flow rate and cross-sectional area of the opening to a water hose, you can calculate the speed at which the water exits the hose.

Here are some practice questions that you can try.

Practice questions

1. Water travels through a hose at 0.8 meters per second. If the cross-sectional area of the exit nozzle is one-fifth that of the hose, at what speed does water exit the hose?

2. You are watching leaves float past you in a stream that is 0.76 meters wide. At one point, you estimate that the speed of the leaves triples. If the stream has a constant depth, what is the width of the stream at this point?

3. The volume flow rate through pipe 1 is 2.5 times that of pipe 2. If the cross-sectional area of pipe 1 is one-half that of pipe 2, what is the ratio of the flow speed in pipe 1 to that in pipe 2?

4. If the water that exits a pipe fills a pool that is 3 meters deep, 20 meters long, and 5 meters wide in 3 days, what is the flow rate?

Answers

The following are the answers to the practice questions:

1. 4.0 m/s

   Use the equation of continuity:

   

   You know that

   

   and that

   

   Solve the continuity equation for

   

2. 0.25 m

   Use the equation of continuity:

   

   In terms of the stream width

   

   and depth d, the cross-sectional area of the stream is

   

   Use this in the continuity equation:

   

   You know that

   

   so you can solve the continuity equation for the width

   

3. 5.0

   You know that

   

   are the volume flow rate through pipes 1 and 2, respectively. In terms of cross-sectional area and flow speed, the volume flow rate is

   

   When combined with the previous equation, you get

   

   You also know that

   

   Combine these equations to find

   
4. 

   Flow rate is the volume of fluid moving past a point per unit time. The volume of fluid that enters the pool is

   

   The time it takes for this volume of water to enter the pool is

   

   The volume flow rate is therefore

   

About This Article

This article is from the book: 

Physics I: 501 Practice Problems For Dummies (+ Free Online Practice)

About the book author:

The Experts at Dummies are smart, friendly people who make learning easy by taking a not-so-serious approach to serious stuff.

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