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Explore the physics behind baseball flight, including drag and Magnus forces, using the PITCHf/x Tracking System. Learn how to analyze pitch data freely available online and delve into topics like pitch classification and trajectory deviations. Uncover the secrets behind pitch movement and break, as well as the impact of spin on baseball trajectory. Discover how science enhances our understanding of the game.
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1. Week 5 1 Physics 199BBThe Physics of Baseball Fall 2007 Freshman Discovery Course
Alan M. Nathan
403 Loomis
333-0965
a-nathan@uiuc.edu
Week 5
2. Week 5 2 Forces on a Baseball in Flight Gravity
Already discussed
Drag (“air resistance”) Force
Already discussed
Magnus Force
Already discussed
3. Week 5 3 Review: Here are the formulas FMx = FM {sin (?)vz/v-cos(?)vy/v}
FMy = FM cos (?)vx/v
FMz = -FM sin(?)vx/v
aMx=2.09x10-6 CM?g {sin(?)vz-cos(?)vy}
aMy=2.09x10-6 CM?gcos(?)vx
aMz=-2.09x10-6 CM?gsin(?)vx
4. Week 5 4 The PITCHf/x Tracking SystemMLB Gameday
5. Week 5 5 How Does PITCHf/x Work? Two video cameras track baseball in 1/60-sec intervals
usually “high home” and “high first”
third CF camera used establises ht. of strike zone for each batter
Pattern-recognition software to identify “blobs”
Camera calibration to convert pixels to (x,y,z) 9-parameter fit to trajectory
constant acceleration for x(t),y(t),z(t)
Use fit to calculate lots of stuff
6. Week 5 6 Example: Bond’s 756th home run
7. Week 5 7 What kind of “stuff”? Pitch speed at release
Pitch speed at home plate (~10% less)
Location of pitch as it crosses home plate
“break” of pitch—deviation from straight-line trajectory
Release point of pitch ball
Initial velocity direction
8. Week 5 8 And the good news is…. …all these data are freely available online!
to learn how to do it, see
http://webusers.npl.uiuc.edu/~a-nathan/pob/pitchtracker.html
Example: Jon Lester (Red Sox) vs. Seattle, Aug. 3, 2007
9. Week 5 9 “movement” vs. “break”
10. Week 5 10 pfx_x and pfx_z (“movement”) Deviation of trajectory due to spin of baseball
Calculated by setting
ax=0 (no sideways acceleration)
az = -g (vertical acceleration only from gravity)
calculate location of ball as it crosses home plate
compare with actual location
pfx_x, pfx_z = actual-calculated
pfx=sqrt(pfx_x2 + pfx_z2)—reported on Gameday screen
11. Week 5 11 “break” vs. “movement” Fastball with lots of backspin has lots of “movement” but little “break”
Any ball dropping more than a fastball has more vertical “break”
Baseball people prefer “break” to “movement”
Physicists prefer “movement”
12. Week 5 12
13. Week 5 13 Using PITCHf/x to obtain drag and Magnus forces
14. Week 5 14 Pitch Classification
15. Week 5 15 Pitch Classification
16. Week 5 16 Pitch Classification
17. Week 5 17 New Topic: Discussion of the “Chemical Bonds” Paper
18. Week 5 18 Topics for Next Time(Adair, Chapter 4) Knuckleball and scuff balls
Gyroballs