Chapter 14: Q.57 (page 386)

A nuclear power plant draws $3.0 \times 10^{6} L / \min$ of cooling water from the ocean. If the water is drawn in through two parallel, $3.0 - m$ -diameter pipes, what is the water speed in each pipe?

Short Answer

Expert verified

Therefore, the speed of the water through each pipe is $3.53 m / s$

Step by step solution

Step :1 Introduction

The volume from one pipe is given follow

$V_{t} = \frac{3.0 \times 10^{6} L / \min}{2}$

The conversion is given as follows:

$V_{t} = 1.5 \times 10^{6} \frac{L}{min} (\frac{10^{- 3} m^{3}}{60 s})$

$= 25 \frac{m^{3}}{s}$

Step :2 Explanation

The area of the pipe is given as follows:

$A = π {(\frac{d}{2})}^{2}$

Here, $d$ is the diameter of the pipe.

Substitute $3 m$ for $d$ .

$A = π {(\frac{3 m}{2})}^{2}$

$= 7.065 m^{2}$

Step :3 Expression of speed

The expression for the speed of the water flowing through the pipe related to the volume flow rate is given as follows:

$v = \frac{V_{i}}{A}$

Substitute $25 \frac{m^{3}}{s} for V_{1} and 7.065 m^{2} for A$

$v = \frac{(25 \frac{m^{3}}{s})}{(7.065 m^{2})}$

$= 3.53 m / s$

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A nuclear power plant draws $3.0 \times 10^{6} L / \min$ of cooling water from the ocean. If the water is drawn in through two parallel, $3.0 - m$ -diameter pipes, what is the water speed in each pipe?

Short Answer

Step by step solution

Step :1 Introduction

Step :2 Explanation

Step :3 Expression of speed

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A nuclear power plant draws 3.0×106L/min of cooling water from the ocean. If the water is drawn in through two parallel,3.0−m-diameter pipes, what is the water speed in each pipe?

Short Answer

Step by step solution

Step :1 Introduction

Step :2 Explanation

Step :3 Expression of speed

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Classical Mechanics

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Study anywhere. Anytime. Across all devices.

A nuclear power plant draws $3.0 \times 10^{6} L / \min$ of cooling water from the ocean. If the water is drawn in through two parallel, $3.0 - m$ -diameter pipes, what is the water speed in each pipe?