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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 386

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Short Answer

Water flowing out of a -diameter faucet fills a bottle in . At what distance below the faucet has the water stream narrowed to diameter?

The distance below stream the faucet water is

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Step by Step Solution

Step :1 Introduction 

Diameter of the faucet 1 is

Radius of the faucet is

Water flow at the speed of

Acceleration due to gravity is

Diameter of the faucet when it is narrowed

Radius of the faucet

Water flow after the faucet is narrowed

From the equation, continuity is

Speed of the water in the narrowed faucet is

The pressure difference is the same in both of the faucets. Therefore, from Bernoulli's equation

Step :2 Substituution

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