Calculating baseball pitch speed

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!

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

berkeman
Mentor
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! 