The figure to the right shows the shape and dimensions of a small dam. Assuming the water level is at the top of the dam, find the total force on the face of the dam. Use 1000 kg /m° for the density of water and 9.8 m/s for the acceleration due to gravity. 54 m +36 m -

The figure to the right shows the shape and dimensions of a small dam. Assuming the water level is at the top of the dam, find the total force on the face of the dam. Use 1000 kg /m° for the density of water and 9.8 m/s for the acceleration due to gravity. 54 m +36 m -

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.4: Applications

Problem 8EQ

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Question

**Set up the integral that should be used to find the total force on the face of the dam. Use increasing limits of integration.**

The figure to the right shows the shape and dimensions of a small dam. Assuming the water level is at the top of the dam, find the total force on the face of the dam. Use 1000 kg / m° for
72 m
the density of water and 9.8 m/s for the acceleration due to gravity.
54 m
36 m -

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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