Calculating baseball pitch speed

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SUMMARY

The forum discussion centers on calculating baseball pitch speed using the formula M = (D/T) x (3,600/5,280), where M represents miles per hour, D is the distance traveled in feet, and T is the time in seconds for the ball to reach home plate. The discussion highlights the importance of accounting for air resistance to improve the accuracy of the speed calculation. A conversion ratio of 0.682 is mentioned for adjusting the calculated speed based on air drag. Additionally, users reference external resources, including a NASA site on air drag and various baseball radar gun apps.

PREREQUISITES
  • Understanding of basic physics concepts, particularly motion and speed calculations.
  • Familiarity with the formula for converting feet per second to miles per hour.
  • Knowledge of air resistance and its effects on projectile motion.
  • Basic proficiency in using online resources for additional information.
NEXT STEPS
  • Research the effects of air resistance on projectile motion in sports.
  • Learn how to use the formula for calculating speed with air resistance included.
  • Explore different baseball radar gun apps and their accuracy in measuring pitch speed.
  • Investigate advanced physics concepts related to drag coefficients and their application in sports.
USEFUL FOR

This discussion is beneficial for amateur baseball players, coaches, sports scientists, and anyone interested in accurately measuring and understanding baseball pitch speeds and the factors affecting them.

Brett Barnett
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My brothers and I want to calculate our pitch speed. We have a simplified formula: M = (D/T) x (3,600/5,280). This will obviously have a large margin of error, but we'll try our best to accommodate. I need to know how to calculate air resistance into the equation. Thanks!
 
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State what your variables are and their units.
 
M = Miles Per Hour
D = Distance Traveled
T = Time for ball to reach home plate
3,600 = seconds in an hour
5,280 = feet in a mile
Conversion ratio: 0.682
For example: (60.6 (feet)/0.50 (time to home plate)) x (3,600 (seconds per hour)/5,280 (feet per mile)) x (121.2 (feet per second)/0.682) = 82.65 miles per hour
 
Well if you are measuring both of these then you have air resistance and everything else in your equation already.
 
I took the OP to mean that, given how the velocity will decrease during flight, his pitch-to-catch-distance over flight-time will give him an underestimate of the speed when it left the pitcher's hand. So, taking into account the air drag would give him a better estimate.

Brett, have you seen this site? https://www.grc.nasa.gov/www/k-12/airplane/balldrag.html
 
Brett Barnett said:
My brothers and I want to calculate our pitch speed. We have a simplified formula: M = (D/T) x (3,600/5,280). This will obviously have a large margin of error, but we'll try our best to accommodate. I need to know how to calculate air resistance into the equation. Thanks!

There's an App for that! :smile:

http://appadvice.com/appguides/show/baseball-radar-gun-apps

.
 
Thank you for the information! I will get to work as soon as the semester concludes. And berkeman, haha, I have seen those apps, but I would suspect those to have little accuracy - even less accuracy than doing it manually, even with my undoubtedly high margin of error! Haha!
 
Does anybody know (I couldn't find it quickly with Google) -- When you get a speed number out of a baseball radar gun, is it the max or average speed? I'd guess it's the max...
 

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