Small angle approximation

This is an Excel project intended for you to learn how to use Excel as a calculating tool, and to learn to “Chart” or graph your results.

This project will help prepare you for college where you will have to do numeric analysis to solve various problems. When you work in engineering, you will frequently have to build numeric models and present the results in chart form.

Use your “Small Angle Approximation CBQ” as a starting point.

Create a spreadsheet for angles 0.00, 0.01 ….. 0.09, 0.10, 0.20 …….0.80 radians

Create columns for Θ in radians, Sin Θ, Θ -Sin Θ,% error [Θ -Sin Θ %], Tan Θ, Θ -Tan Θ, % error [Θ -Tan Θ],

Create a scatter plot for % error vs Θ

Submit electronically to my email, prior to next class (bweissbard@boscotech.edu).

CBQ Physics Unit 13: Small Angle Approximation

CBQ: Create a table with 3 columns (Θ, SinΘ , Tan Θ). Set your calculator to radians.
Calculate SinΘ , Tan Θ for;
Θ = 0, 0.01, 0.03, 0.05, 0.07, 0.10, 0.20 …..0.80.
Show that Θ ≅ SinΘ ≅ Tan Θ for  0 ≤ Θ ≤ 0.80
By what % do Sin and Tan diverge at 0.80 radians?
Convert 0.80 radians to degrees.