Calculating baseball pitch speed

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Discussion Overview

The discussion revolves around calculating the speed of a baseball pitch, focusing on a simplified formula for pitch speed and considerations for incorporating air resistance into the calculation. Participants explore the implications of their measurements and the accuracy of various methods, including manual calculations and radar guns.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • The original poster (OP) presents a formula for calculating pitch speed, acknowledging a large margin of error and seeking advice on including air resistance.
  • One participant requests clarification on the variables and their units used in the formula.
  • Another participant explains the variables involved, providing a detailed example calculation that illustrates the formula's application.
  • One participant suggests that measuring distance and time inherently includes air resistance in the calculations, implying that the OP's method may already account for it.
  • Another participant interprets the OP's concern about air resistance as a need for a more accurate estimate of the pitch speed at release, suggesting that air drag should be factored in for better accuracy.
  • The OP humorously acknowledges the existence of apps for measuring pitch speed but expresses skepticism about their accuracy compared to manual calculations.
  • A participant inquires about the nature of speed readings from baseball radar guns, questioning whether they represent maximum or average speeds.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method for calculating pitch speed or the impact of air resistance. Multiple viewpoints are presented regarding the accuracy of manual calculations versus radar gun measurements.

Contextual Notes

There are assumptions regarding the effects of air resistance and the accuracy of various measurement methods that remain unresolved. The discussion does not clarify the specific conditions under which the proposed calculations would be most accurate.

Who May Find This Useful

Individuals interested in sports science, physics of motion, or those looking to measure and understand baseball pitch speeds may find this discussion relevant.

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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