The Mathematical Expression of an AC Sine Wave As a Function of Time: Practice Problems
Students view the mathematical expression of a sinusoidal waveform with respect to time (t) and solve five problems. The answers are provided so students may check their work.
Stain Measurement & Calculating Angles of Impact (Screencast)
In this learning object the student will learn how to measure a stain and calculate angles of impact. Determining the angle of impact for bloodstains takes advantage of the trigonometric functions (Sine function).
A mathematical relationship exists between the width and length of an elliptical bloodstain which allows for the calculation of the angle of the impact for the original spherical drop of blood.
Given well formed stains we can accurately measure the width and length by simply dividing the stain along it’s major and minor axis. The opposite halves would be generally equal to each other which aids in establishing the impact angle.
In this interactive object, part 3 in a series, learners follow the steps of the “mathemagician” to examine four numerical curiosities: What’s Special About 1089, Perfect Squares: 1089 and 9801, The Mathematical Significance of 1776, and The Calculator Number Game. The learner will also study six number patterns and look at one remarkable table. Immediate feedback is provided.
Learners read an explanation of the RL time constant and examine the formula for calculating the instantaneous current value. The current is graphed as it climbs to maximum or drops to zero. Note* In the formulas in this module, the Greek letter epsilon should be the mathematical constant 'e'.
Learners study the mathematical calculations used to determine the proper PID values to be entered into a controller using the Ziegler-Nichols Reaction Curve.