Sport Science: Mo’ne Davis

Posted: October 23, 2016 in Sports Science MATH

John Brenkus and the “Sport Science” team break down why Little League World Series pitcher Mo’ne Davis can reach 70 mph with her fastball.

6.NS.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.
6.NS.2
Fluently divide multi-digit numbers using the standard algorithm.
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How to Calculate Miles Per Hour in Pitching

by Axl J. Amistaadt, Demand Media

The “fastest pro pitcher of all time” will inevitably change over the years as records are eventually broken by the latest and greatest, and the point will ever be contested eternally by players, fans, historians and researches. All-time great Nolan Ryan’s rocketing Aug. 20, 1974, fastball pitch against the Detroit Tigers was entered into the Guinness World Records “officially” at 100.9 miles per hour. According to power-hitting Hall of Famer Reggie Jackson, “Every hitter likes fastballs just like everybody likes ice cream. But you don’t like it when someone’s stuffing it into you by the gallon. That’s how you feel when (Nolan) Ryan’s throwing balls by you.” Surprise your friends at the next game by calculating pitching miles per hour using simple math that’s easy enough for a middle school kid to learn.

Items you will need

  • Measuring tape
  • Stopwatch

Step 1Measure the distance from where the ball will be thrown to home plate with a tape measure. It’s 60.6 feet to the plate from the pitcher’s mound on a Major League diamond, but the distance varies between leagues and playing levels.

Step 2Clock the pitch’s travel time with a stopwatch. This is the time that it takes for the ball to travel from the pitcher’s hand to when it reaches home plate — a half second, for example.

Step 3Calculate the average speed of the pitched ball with the equation S = D / T. The speed in feet per second is represented by S, the travel distance is D, and the time it took for the pitch to reach the plate is T. The pitch’s speed in this example is 60.6 / 0.50 = 121.2 feet per second.

Step 4Divide the seconds in an hour (3,600) by feet per mile (5,280). The conversion ratio is 0.682. Convert the pitch’s speed per second into miles per hour using the formula M = S x (3,600 / 5,280). M represents the ball’s speed in miles per hour, with S being its speed in feet per second. The speed in this example is formulated as 121.2 x 0.682 = 82.65 miles per hour.

Step 5Figure the pitch’s speed in miles per hour directly from its travel speed in seconds and the distance. Though slightly more involved, it’s a bit quicker. In the equation M = (D / T) x (3,600 / 5,280), M represents the speed in miles per hour, D represents the distance in feet and T represents the travel time in seconds. This formulation for the pitch’s average speed is (60.6 / 0.50) x (3,600 / 5,280) = (121.2 x 0.682) = 82.65 miles per hour in this example.

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