5 Nov 2021
Problem 35
Page 474
Section 6.6: Applications to Physics and Engineering
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
5 Nov 2021
Given information
The diameter of the plate is 10 ft. and the height of the plate below water is 2 ft.
Step-by-step explanation
Step 1.
Let the density of water is 62.5, the radius of the plate is 5 m and the depth of the center of the plate from the surface of water is 7 ft.
So, if is the angle with the horizontal made by a radius passing through a point located on the circular edge of the plate, then
The depth of the point is .The width of a horizontal strip of the plate passing through the point is .The length of an infinitesimal section of perimeter around the point making an angle with the center of the disc is .The thickness of the horizontal strip of disc that corresponds to this small section of perimeter is .