Concept explainers
To Calculate: The hydrostatic force of water on irregularly shaped plate using Simpson’s Rule.
Answer to Problem 41E
The force on the irregular object estimated from Simpson’s Rule is
Explanation of Solution
Given Information: The width of the plate at various depths are
Method:
Calculation: The hydrostatic pressure at a depth
The hydrostatic force on a thin infinitesimal horizontal strip of the plate of thickness
Therefore, the total force on the plate is the integral of
From the above integral, assume
Also
So,
Therefore, the force on the irregular object estimated from Simpson’s Rule is
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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