Chapter 14, Problem 051A garden hose with an internal diameter of 2.6 cm is connected to a (stationary) lawn sprinkler that consists merely of a container with 25 holes, each 0.18 cm in diameter. If the water in the hose has a speed of 0.86 m/s, at what speed does itleave the sprinkler holes?NumberUnitsUse correct number of significant digits; the tolerance is +/-2%

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Asked Nov 20, 2019
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Chapter 14, Problem 051
A garden hose with an internal diameter of 2.6 cm is connected to a (stationary) lawn sprinkler that consists merely of a container with 25 holes, each 0.18 cm in diameter. If the water in the hose has a speed of 0.86 m/s, at what speed does it
leave the sprinkler holes?
Number
Units
Use correct number of significant digits; the tolerance is +/-2%
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Chapter 14, Problem 051 A garden hose with an internal diameter of 2.6 cm is connected to a (stationary) lawn sprinkler that consists merely of a container with 25 holes, each 0.18 cm in diameter. If the water in the hose has a speed of 0.86 m/s, at what speed does it leave the sprinkler holes? Number Units Use correct number of significant digits; the tolerance is +/-2%

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Expert Answer

Step 1

Let v1 be the speed of the water with which it leaved the hose, v2 be the speed of the water with which it leaves the sprinkler hole and N be the number of holes in the sprinkler.

Write the given values of question.

= 0.86 m/s
N 25
d 2.6 cm
d,0.18 cm
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= 0.86 m/s N 25 d 2.6 cm d,0.18 cm

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Step 2

Write the expression for the equation of conti...

Av NA,v
па
πας
= N
4
12
4
12
(0.86 m/s)2.6 cm
0.18 cm
25
=7.17 m/s
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Av NA,v па πας = N 4 12 4 12 (0.86 m/s)2.6 cm 0.18 cm 25 =7.17 m/s

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