A Brief Look at the Force of Drag using Numerical Modeling (or The Euler Method)

Описание: This is how you include air resistance in projectile motion. It requires the Drag Force and Numerical Modeling (or the Euler Method). It is also very helpful to use a spreadsheet to do the calculations. I prove a statement from a previous projectile motion problem video, "Air resistance decreases the x displacement of the ball by less than 1 cm."

Lacrosse Ball Information:
Weight = 5.125 oz.
Drag Coefficient = 0.5
Circumference = 7.875 in.
Density of Air = 1.275 kg/m^3

0:00 Intro
0:22 The statement this video proves
1:01 The basic concept of air resistance
1:54 The Free Body Diagram
2:20 The Drag Force Equation
3:13 Information about the Lacrosse Ball
4:03 The Drag Coefficient
4:55 The Density of Air
5:18 How the Drag Force affects the motion
5:58 The basic idea of Numerical Modeling (or the Euler Method)
6:50 Solving for the acceleration in the x direction
8:53 Solving for the final velocity in the x direction
9:54 Solving for the final position in the x direction
11:41 Entering the Lacrosse Ball information into Excel
13:34 Solving for the Drag Force in x direction in Excel
14:29 Solving for the acceleration in the x direction in Excel
14:58 Solving for the final velocity and final position in the x direction in Excel
15:46 Solving for the acceleration in the y direction
17:21 Solving for all the variables in the y direction in Excel
19:13 Click and Drag Copy. Harnessing the Power of Excel!
19:43 Understanding the numbers in Excel
20:35 Solving for the decrease in the x displacement caused by the Drag Force

Want lecture notes & the Excel File?
http://www.flippingphysics.com/the-eu...
(also contain's photo credits and links to website's shown in video)

The original problem videos for this are:
(part 1 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity
http://www.flippingphysics.com/projec...

(part 2 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity
http://www.flippingphysics.com/projec...

How Many Attempts did it Really Take? - with live music from Amos Lee
http://www.flippingphysics.com/how-ma...

1¢/minute: http://www.flippingphysics.com/give.html