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A 4-m-long quarter-circular gate of radius 3 m and of

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 77P Chapter 3

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

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Problem 77P

Problem 77P

A 4-m-long quarter-circular gate of radius 3 m and of negligible weight is hinged about its upper edge A, as shown in Fig. P10-23. The gate controls the flow of water over the ledge at B, where the gate is pressed by a spring. Determine the minimum spring force required to keep the gate closed when the water level rises to A at the upper edge of the gate.

Step-by-Step Solution:

Solution

Step 1 of 8

The flow of water over the ledge B is controlled using a quarter circular gate hinged about its upper edge at A and spring is used at B to press the gate as shown in figure below. We need to calculate the minimum spring force required at point B, to close the gate when the water rises to point A at the upper edge of the gate. The density of water is taken to be .

Step 2 of 7

Chapter 3, Problem 77P is Solved
Step 3 of 7

Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

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A 4-m-long quarter-circular gate of radius 3 m and of