Answer: A shower head has 20 circular openings, each with

Chapter 12, Problem 35E

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QUESTION:

Problem 35E

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:

Problem 35E

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  in the pipe of radius and area , when it comes out of the shower head with n=20 circular opening with each circular opening radius  and area of one such opening with speed  from the total area at the head of shower . We can find the speed of water when it comes out of shower using continuity equation.

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