Chapter 8.3, Problem 1E

### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

Chapter
Section

### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

# An aquarium 5 ft long, 2 ft wide, and 3 ft deep is full of water. Find (a) the hydrostatic pressure on the bottom of the aquarium, (b) the hydrostatic force on the bottom, and (c) the hydrostatic force on one end of the aquarium.

a)

To determine

To find: The hydrostatic pressure on the bottom of the aquarium.

Explanation

Given:

The length of the aquarium is l=5â€‰ft .

The width of the aquarium is w=2â€‰ft .

The depth of the aquarium is d=3â€‰ft .

Consider the aquarium is filled full of water.

Calculation:

Consider the weight density of water is Î´=62.5â€‰lb/ft3 .

Calculate the hydrostatic pressure on the bottom of the aquarium using the formula:

P=Î´Ã—d (1)

Substitute 62

b)

To determine

To find: The hydrostatic force on the bottom of the aquarium.

c)

To determine

To find: The hydrostatic force on one end of the aquarium.

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