Mathematics / Science

A new venture into the fabulous world of mathematics and science.

Chemistry: Using Charles Law (Algebraic Manipulation to Solve for A Variable)

Here we lightly discuss the chemistry concept of Charles’s Law. We solve a simple problem and focus on using a logical problem solving approach to answering these types of questions. We will also use this logical approach to check our answer and then verify it.

Dimensional Analysis: Going from meters per second to here and now

Here, we will first laugh at my attempts to add levity to a dull title like Dimensional Analysis. I realize my”edgy” title giving abilities leave something to be desired and will be kept to a minimum. Anyway, on a more useful note, we will discuss the ideas needed to navigate a word problem using the idea of related rates or ratios that are multiplied as factors to render an appropriate answer. The main idea is to understand what is asked of you in the problem and then use your own cunning to to find related data that articulates (or dis-articulates) a given problem and its native unit format to an intelligible solution.

Trigonometry Basics…..Basic Basics

Here we will go over the fundamental components involved in basic Trigonometry.  We will look at the Right Triangle and the Unit Circle and note how they interplay into the concepts of this discipline. We also see how the circular functions  are involved these concepts and also what “makes up” these six functions.

Vectors Pt. 6(b.): Resultant Velocities Word Problem

Hello all,

Here we will look into a word problem that requires us to find a new velocity based on a few stated criteria. This W.P. (word problem) is an idealized situation and does not contain all of the real world factors for solving but we can still see some useful data. As always If you need any clarifications or see any mistakes please correct me.

Pt. 6(a) Vector Applications Continued

Here we continue our work on Vector applications. We will use some given information to derive a velocity (resultant speed) and some direction angle for this given problem. This answer will be formulated using the i and j component form.

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OpenFiction [Blog]

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Pt. 6(a) Vectors: Vector Applications

Here I solve a Resultant Vector problem where there are 2 forces acting on an object. This is part 1 of a 2 part lecture on popular uses for vectors in problem solving and to show how to calculate the combined force exerted on an object under ideal conditions.