Menu (linked Index) Rotational Motion Variables Last Update: October 28, 2025 Introduction Angle Displacement and Radian Definition Angular Velocity ω Angular Acceleration α Rotational Motion Vectors Kinematic Equations (Linear, Rotational) Polar vs Axial Vectors Introduction This post addresses rotational (circular) motion and the key variables describing it. We are probably familiar with linear movement described […]
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Menu (linked Index) RMS (Root Mean Square) of a Sinusoid Last Update: October 9, 2025 Introduction Approximate RMS of a Sinusoidal Curve RMS Equation: Continuous Form RMS for Current Derived from the Continuous RMS Equation Introduction In this post I’m going to show two ways to compute the Root Mean Square (RMS) of a set
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Menu (linked Index) Sum and Difference Angle Formula Proofs Last Update: October 7,2025 Introduction Right Triangle Trig Functions Two Right Triangles Define the Sides Sin and Cos Angle Sum Formulas Sin and Cos Angle Difference Formulas Tan Angle Formulas Summary of Sin, Cos, Tan Angle Formulas Introduction In this post, I derive the sine, cosine,
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Menu (linked Index) Field Operators: Grad, Div, and Curl Last Update: August 18, 2025 Introduction Definitions Graphing a Vector Field Differentiation Basics The Gradient Operator Divergence Operator The Laplacian Direction of Axis of Rotation The Curl Operator Excellent Educational Video References Appendix 1: Uses of the Derivative Introduction This post is about three fundamental operators
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Menu (linked Index) The Derivative Last Update: October 18, 2025 Introduction The Derivative Derivative Rules Derivatives of Some Useful Functions Ordinary Derivative Partial Derivative Introduction This article is a high level introduction to the mathematical tool called differentiation. At its core, differentiation is the process of finding the instantaneous rate of change of a function
Menu (linked Index) Unit of Measure Conversion Factors Last Update: July 13, 2025 Introduction Exponentials, Scientific Notation, and SI Prefixes Volume Equivalents (Conversion Factors) Mass Equivalents (Conversion Factors) Length Equivalents (Conversion Factors) Pressure Equivalents I.(Conversion Factors) Pressure Equivalents II. (Conversion Factors) Energy Equivalents I. (Conversion Factors) Energy Equivalents II. (Conversion Factors) Power Equivalents I. (Conversion
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Menu (linked Index) Integration Rules Last Update: July 1, 2025 Introduction Integral Definition Integral Notation Integration: Basic Formulas Beyond basic integration Introduction Finding the area under a curve in physics is very useful. For example, the work done on an object that is displaced a distance d is computed as W = force x distance.
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Menu (linked Index) Geometry and Trigonometry Rules Last Update: November 8, 2025 Introduction Area and Volume Equations for Basic Shapes Similar Triangles Exterior and Interior Angles of Triangles Law of Cosines and Sines Right Triangle Trigonometric Functions Pythagorean Trigonometric Identities Sum and Difference Angle Formulas Even-Odd Identities (Identities for Negative Angles) Some Useful Sine and
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Exploring Euler’s Formula Exploring Euler’s Formula Last Update: December 18, 2024 Euler’s Identity It all started for me when I came across the formula below. It’s called Euler’s Identity. If you are a mathematician, you are getting pretty excited right now just seeing this equation. Kind of like a sportscaster’s reaction when you talk about
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Menu (linked Index) Unit Circle and Definitions of Radian and π Last Update: October 16, 2025 Introduction Properties of a Circle The Unit Circle and The Radian Conclusion Introduction In this post we’ll review some of the important mathematical formulas and properties derived from the circle. You probably know that the constant pi = π
