An elastic air balloon having a diameter of 30 cm is

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

ISBN: 9780071284219 39

Solution for problem 154P Chapter 3

Fluid Mechanics | 2nd Edition

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Problem 154P

An elastic air balloon having a diameter of 30 cm is attached to the base of a container partially filled with water at +4°C, as shown in Fig. P10-46. If the pressure of air above water is gradually increased from 100 kPa to 1.6 MPa, will the force on the cable change? If so, what is the percent change in the force? Assume the pressure on the free surface and the diameter of the balloon are related by P = CDn, where C is a constant and n = −2. The weight of the balloon and the air in it is negligible.

Step-by-Step Solution:

Solution

Step 1 of 10

In a partially water filled tank, an elastic balloon is attached to the base of the tank which is immersed inside the water as shown in the figure below. The initial diameter is given to be ${D}_{1}=30\ cm$ . Here we need to calculate the change in cable tension force of the when the pressure in the tank is increased from ${P}_{1}=100\ kPa$ to ${P}_{2}=1.6\ MPa$ , where the relation between the pressure and diameter is given to be ${P=CD}^{-2}$ .

Step 2 of 10

Chapter 3, Problem 154P is Solved

Step 3 of 10

Textbook: Fluid Mechanics

Edition: 2

Author: Yunus A. Cengel, John M. Cimbala

ISBN: 9780071284219

The answer to “An elastic air balloon having a diameter of 30 cm is attached to the base of a container partially filled with water at +4°C, as shown in Fig. P10-46. If the pressure of air above water is gradually increased from 100 kPa to 1.6 MPa, will the force on the cable change? If so, what is the percent change in the force? Assume the pressure on the free surface and the diameter of the balloon are related by P = CDn, where C is a constant and n = ?2. The weight of the balloon and the air in it is negligible.” is broken down into a number of easy to follow steps, and 102 words. This full solution covers the following key subjects: air, balloon, pressure, Water, Force. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219. The full step-by-step solution to problem: 154P from chapter: 3 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. Since the solution to 154P from 3 chapter was answered, more than 1661 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2.