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# In working out his principle, Pascal showed dramatically ISBN: 9780130606204 3

## Solution for problem 20P Chapter 10

Physics: Principles with Applications | 6th Edition

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Problem 20P

In working out his principle, Pascal showed dramatically how force can be multiplied with fluid pressure. He placed a long, thin tube of radius r =0.30 cm vertically into a wine barrel of radius R =21 cm, Fig. 10-62. He found that when the barrel was filled with water and the tube filled to a height of 12 m, the barrel burst. Calculate (3) the mass of water in the tube, and (6) the net force exerted by the water in the barrel on the lid just before rupture. Step-by-Step Solution:

Solution 20P:

We have to calculate the mass of the water inside the tube and the force exerted by the water in the barrel on the lid just before rupture.

Step 1 of 3</p>

Concept:

The ratio of the mass of a substance to its volume is always constant, and it is known as the density of the substance. Mathematically, …(1)

Pressure on the body is defined as the force applied per unit cross-sectional area of the body. Mathematically, …(2)

Pressure due to liquid of density having its column height , is given as …(3)

Step 2 of 3</p>

A] Using the above relation (1) between density, volume and mass of the water in the tube, we get,    Thus the mass of the water inside the tube is .

Step 3 of 3

##### ISBN: 9780130606204

Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. Since the solution to 20P from 10 chapter was answered, more than 495 students have viewed the full step-by-step answer. The answer to “In working out his principle, Pascal showed dramatically how force can be multiplied with fluid pressure. He placed a long, thin tube of radius r =0.30 cm vertically into a wine barrel of radius R =21 cm, Fig. 10-62. He found that when the barrel was filled with water and the tube filled to a height of 12 m, the barrel burst. Calculate (3) the mass of water in the tube, and (6) the net force exerted by the water in the barrel on the lid just before rupture.” is broken down into a number of easy to follow steps, and 89 words. This full solution covers the following key subjects: barrel, Water, tube, radius, Force. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. The full step-by-step solution to problem: 20P from chapter: 10 was answered by , our top Physics solution expert on 03/03/17, 03:53PM.

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