THE MATHEMATICS OF SWIMMING

1
THE MATHEMATICS OF SWIMMING

• Period 3
• Daniel Du
• Jeff Fong
• Pete Huang
• Joon Park

2
Types of Strokes

• Backstroke

Butterfly
Freestyle
Breaststroke
3
Kinematics



4

• Fluid Mechanics
• Digital Particle Image Velocimetry

5
Fluid Mechanics
Computational Fluid Mechanics
6
Forces of Swimming
Archimedes' Principle
7
Frictional/Pressure Drag Equation
Reference area
Drag coefficient
Density (fluid)
Velocity (object)
Assume for human body A .1 square meters Drag
coefficient .47