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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman
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A shower head has 20 circular openings, each with radius

Chapter 12, Problem 35E

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QUESTION:

A shower head has 20 circular openings, each with radius 1.0 mm. The shower head is connected to a pipe with radius 0.80 cm. If the speed of water in the pipe is 3.0 m/s, what is its speed as it exits the shower-head openings?

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QUESTION:

A shower head has 20 circular openings, each with radius 1.0 mm. The shower head is connected to a pipe with radius 0.80 cm. If the speed of water in the pipe is 3.0 m/s, what is its speed as it exits the shower-head openings?

ANSWER:

Solution 35E Step 1 of 4: In the given problem, the water flows with speed v = 3 m/s i1 the pipe of radius r1= 0.8 cmand area A , whe1 it comes out of the shower head with n=20 circular opening with each circular opening radius r = 1 mm and area of one such opening A 1 2 1 1 with speed v f2om the total area at the head of shower A = nA =220A . We can find the speed of water when it comes out of shower using continuity equation.

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