(II) Estimate the air pressure inside a category 5

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Problem 45P Chapter 10

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

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Problem 45P

(II) Estimate the air pressure inside a category 5 hurricane, where the wind speed is 300 km/h (Fig. 10-52).

Step-by-Step Solution:

Solution 45P:

        Hurricane is formed due to pressure difference. We have to find out the air pressure inside a category 5 hurricane where the wind speed is .

Step 1 of 2</p>

Concept:

        According to Bernoulli principle for the air moving at same height, the sum of the pressure energy and kinetic energy of the air always remains constant.

                                

Here,

Pressure at any point in the system

Velocity of air at the same point

Density of air  

Step 2 of 2</p>

As we know that the pressure outside hurricane is the atmospheric, therefore,

   

As the air molecule start moving from outside the hurricane to inside, therefore speed of wind outside the hurricane is zero.

                                     

As the air molecule start moving from outside the hurricane to inside, its speed increases, therefore speed of wind inside the hurricane is,

                                                            …[Given]

                                                                                

Step 3 of 3

Chapter 10, Problem 45P is Solved
Textbook: Physics: Principles with Applications
Edition: 6th
Author: Douglas C. Giancoli
ISBN: 9780130606204

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