the physics of pangya
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It's a simple, light-hearted presentation no hate pleaseTRANSCRIPT
The Physics of Golf
Index
• Aims• Methodology• Results• Conclusion
What is Golf
Aim
• Plot the path of the golf ball• Consider effects of:– Air resistance– Wind– Spin of golf ball
Methodology
• Use Newtonian mechanics• Use Euler Method• Consider special cases, move towards generalVelocity
Lift
Drag
Weight
Wind
Observed Trajectory of a Golf Ball
Average Ranges
• 3-IRON : 155-174m• 4-IRON : 146-163m• 5-IRON : 137-155m• 6-IRON : 128-146m
• 7-IRON : 119-137m• 8-IRON : 110-128m• 9-IRON : 101-119m
1st Special Case
• No wind, no rotation
2nd Special Case
• 1st Special Case, with headwind/tailwind
2D General Case
• 2st Special Case, with a rotating golf ball
Observed Trajectory of a Golf Ball
Average Ranges
• 3-IRON : 155-174m• 4-IRON : 146-163m• 5-IRON : 137-155m• 6-IRON : 128-146m
• 7-IRON : 119-137m• 8-IRON : 110-128m• 9-IRON : 101-119m
3D Case
Limitations in Practice
• Constants may not be constants at all• Determining constants and initial conditions