a.
To find: The Reiman Sum approximating the force exerted on the entire front of the tank.
a.
Answer to Problem 4QQ
The required format sum is,
Explanation of Solution
Given information:
The figure is:
The pressure given as
Formula used:
Calculation:
b.
To find a definite integral using the obtained figure in part a.
b.
Answer to Problem 4QQ
The force is
Explanation of Solution
Given information: The Reiman sum obtained from the previous part is
Calculation:
From the Reiman Sum it can be written as,
c.
To find the total force exerted on the front of the tank if the front and back are semi circles with a given diameter.
c.
Answer to Problem 4QQ
The total force is 41.6 lbs.
Explanation of Solution
Given information:
The Reiman sum is previously obtained as
Calculation:
The equation for force ill change as the area is changed.
Given diameter is 2 ft. So, radius will be 1 ft.
The new equation will be
The total force exerted will be:
Chapter 7 Solutions
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