Explanation Given: Let F is the velocity field which is expressed in meters per second; P is the center of the circle whose radius is R = 0.05 . The curl z ( F ) ( P ) = − 3 . Calculation: The formula for the circulation of F around the region D with the boundary C is: ∮ c F . d s ≈ curl z ( F ) ( P ) × Area ( D ) ... ( 1 ) In The above formula D will be the circular region of the circle whose radius is R = 0.05 . Therefore, area ofcircular region D is: π ( R ) 2 = π ( 0.05 ) 2 = 0.0025 π . Now, from the formula (1): ∮ c F . d s ≈ curl z ( F ) ( P ) × Area ( D ) ≈ − 3 × 0...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 18.1, Problem 34E

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The circulation of F around the circle of radius R with center P and the direction in which a small paddle placed at P rotate and how fast would it rotate.

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Chapter 18.1, Problem 33E

Chapter 18.1, Problem 35E

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The circulation of F around the circle of radius R with center P and the direction in which a small paddle placed at P rotate and how fast would it rotate.

Solution Summary: The author calculates the circulation of F around the circle of radius R with center P and the direction in which a small paddle placed at P rotates.

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To calculate: The circulation of F around the circle of radius R with center P and the direction in which a small paddle placed at P rotate and how fast would it rotate.

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Chapter 18 Solutions

To calculate:

The circulation of F around the circle of radius R with center P and the direction in which a small paddle placed at P rotate and how fast would it rotate.