Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: Calculus II
Topic: Physics
Subtopic: Fluid Pressure and Fluid Force

Overview

Continuing in the calculus of physics, today we study fluid pressure and fluid force. Here we use calculus to find the force on objects submerged in, holding back, or containing liquids, everything from fish tanks to dams.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 7.2.1 Understand fluid pressure and fluid force
• 7.2.2 Set-up and solve a problem involving constant depth fluid force
• 7.2.3 Set-up and solve a problem involving variable depth fluid force

Terminology

Terms you should be able to define: fluid, depth, weight-density of water, pressure, fluid pressure, fluid force

Mini-Lectures and Examples

Supplemental Resources (optional)

PDF: Additional Applications, Dale Hoffman's Contemporary Calculus includes liquid force and pressure problems along with some review topics (area, volumes, shell method).

Examples: Force Due to Liquid Pressure by Integration, IntMath has a couple of well-explained basic examples

Examples: Fluid Pressure, Math24's Calculus has good sketches and a variety of physics examples

rev. 2021-01-17