Fundamentals of Mathematics for Engineers Lab Images: http://www.lotempiolaw.com/uploads/image/3720955827_c469cc0d38.jpg https://technology.drupal.ku.edu/sites/technology.drupal.ku.edu/files/matlablogo.jpg http://www.photovolcanica.com/Oktoberfest/Oktoberfest11_8008.jpg http://www.alfavita.gr/sites/default/files/education-math-002-617x416.jpg ENGR 2194 Lab # 5 – Derivatives in Engineering: Velocity and Acceleration in Free-Fall

Real-World Example Related to Topic! Free-Fall Amusement Park Ride Real-World Example Related to Topic! Many engineering disciplines (e.g., electrical, mechanical) commonly use: Derivatives Rate of change Image: http://www.photovolcanica.com/Oktoberfest/Oktoberfest11_8008.jpg

Today's Learning Objectives After today's lab, students will be able to: Understand the relationship between position, velocity, and acceleration Identify the key parameters of freefall The objective of this laboratory is to learn basics of derivatives in engineering and the relationship between position, velocity, and acceleration

Position, Velocity & Acceleration 𝑣 𝑡 = 𝑑𝑦 𝑑𝑡 𝑣 𝑡 = 𝑦 2 − 𝑦 1 𝑡 2 − 𝑡 1 Velocity, v(t) 𝑎 𝑡 = 𝑑 2 𝑦 𝑑 𝑡 2 = 𝑑𝑣 𝑑𝑡 𝑎 𝑡 = 𝑣 2 − 𝑣 1 𝑡 2 − 𝑡 1 Acceleration, a(t)

Lab Equipment and MATLAB dropball.m %% Set sample rate and data rate here (please do not modify any other code) % ------------------------------------------------------------------------- % the default sample rate is 20000 per sec sr = 20000; % the default collection window length is 10 seconds sd = 10; % the matlab (mat) file for data storage % this is the file that will be analyzed using dropballAnalysis.m filename='dropballData'; Lab apparatus and portion of MATLAB code that needs to be modified. May need to provide guidance on Excel too. dropballDataAnalysis.m %% load data taken using the dropball script load('dropballData100');

Important Takeaways Essential to Engineers Derivatives Rate of change Technical Computing MATLAB

Preview of Next Lab Excel Supplemental Instruction #1 Image: http://www.believersbc.com/Resources/Pictures/Excel-2010-logo-icon.gif