indigodog549Lv1
5 Nov 2021
Problem 32
Page 474
Section 6.6: Applications to Physics and Engineering
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
5 Nov 2021
Given information
the shape of the water tank is given as follows:
Step-by-step explanation
Step 1.
The hydrostatic pressure of a water of density at a depth d from the surface of the water is .
The force on a surface due to pressure exerted is , where is the area of the surface being considered.
If the depth increases by 5 m, the width increases by 4m. So, at any depth h from the surface of water, the width of the plate is given by .
So, the area of a thin horizontal strip of the plate of thickness dh at this depth h is