Intro to Physics
Lawrence Anderson-Huang
11 December 2014
The Aerodynamics of a Football in Flight
Despite football being largely considered a game of brute, muscle heads banging into each other and kicking some prolate spheroidal object around, it is actually a physicist’s paradise. A casual fan who is unrelenting on his/her criticism of a punter who can’t pin the other team inside their 20 yard line or a place kicker who has trouble making a field goal, or even a quarterback that struggles to make throws doesn’t even realize how challenging those tasks are from a physical point of view. These are all dependent on a few factors. Some of these factors include everything from the angle that they kick the ball at, the speed of the …show more content…
The collision between the leg and the ball is for the most part elastic, which means both its angular momentum and energy are conserved (Gay 133). An average NFL punter weighs 215 pounds, of that 35 pounds is in his leg. If the assumed length of the leg is 3 feet, and if an NFL football weighs .91 pounds, then the derived equation would then be v’= .81v + 1.81lw, where w is the angular velocity, l is the length of the leg, and v is the initial speed, assuming that the frame of reference is a camera going 15 feet per second, which would make the ball appear to be stationary (Gay 137). Assuming that a ball is kicked at 100 feet per second, and it is tumbling end over end, it will rotate at around 900 revolutions per minute, or 15 revolutions per …show more content…
A major factor that affects the ball is air density. There is a huge difference when a team is playing in a place like New York City which is at sea level, or in Denver, which is a mile above sea level. The density of air in Denver is about 20% less than that of a city that is at sea level (Gay 115). If a football is kicked in a spiral in Denver, it will go 82 yards rather than the 78 yards in New York City. For a tumbling kick, when the ball is traveling end over end, it would go 41 feet rather than 45 feet, which is greater than that of a spiral kick on a pure percentage basis (Gay 117). While these numbers may seem small, football has been known as a game of inches, so every yard matters. Wind is similar to drag force in that it can go against the ball in the air, but it is different in that it can help the ball go a further distance, depending on the way that it is blowing. If a 20 mph wind is blowing in a stadium at sea level, and a ball was kicked and it was tumbling end over end, then the ball would go 20 yards, compared to 40 yards on a wind free day. In this same scenario, the ball would still lose 20 yards in distance if it was in Denver (Gay