Danger Zone
In the Starting Line-Up

For the Patriots to blame a change in temperature for 15% lower-pressures, requires balls to be inflated with 125-degree air.
Since tweeting this, Tyson has written a correction to his math on his Facebook page.
https://www.facebook.com/notes/neil-degrasse-tyson/deflategate/10153074004496613
My calculation used the well-known gas formula that relates pressure to temperature within a fixed volume. Quite simply, the two quantities are directly and linearly related. e.g. Halve the temperature, you've halved the pressure. Triple the temperature, you've tripled the pressure.
Shortly afterwards, many of my physics-fluent twitter followers, as well as others in the blogosphere, were quick to point out that in my calculation I neglected to account for the fact that the football pressures were "gauge" pressures (as would be the pressures measured in any ball on Earth) rather than "absolute" pressures. And the calculation that I performed applies only to absolute pressures -- which reference the case where the football pressure is measured in the vacuum of space, without the effects of atmospheric pressure on the measurement. Using the (correct) gauge pressure in the calculation reduces the needed inflation temperature to about 90-degrees for that effect.
This is simply an oversight on my part, and I'm glad so many stepped forward to correct it. But what it means is that the Patriots would simply need to have inflated the balls with (more accessible) 90 degree air rather than 125 degree air. A delightfully moot point since neither temperature absolves the NE Patriots even as we all know that the NE Patriots, in their 45 to 7 victory over the Colts, would have won the game no matter the ball pressure. And, as far as I am concerned, the Patriots would have won that game even in the vacuum of space.
As Always, Keep Looking up.
-Neil deGrasse Tyson, Chicago
Shortly afterwards, many of my physics-fluent twitter followers, as well as others in the blogosphere, were quick to point out that in my calculation I neglected to account for the fact that the football pressures were "gauge" pressures (as would be the pressures measured in any ball on Earth) rather than "absolute" pressures. And the calculation that I performed applies only to absolute pressures -- which reference the case where the football pressure is measured in the vacuum of space, without the effects of atmospheric pressure on the measurement. Using the (correct) gauge pressure in the calculation reduces the needed inflation temperature to about 90-degrees for that effect.
This is simply an oversight on my part, and I'm glad so many stepped forward to correct it. But what it means is that the Patriots would simply need to have inflated the balls with (more accessible) 90 degree air rather than 125 degree air. A delightfully moot point since neither temperature absolves the NE Patriots even as we all know that the NE Patriots, in their 45 to 7 victory over the Colts, would have won the game no matter the ball pressure. And, as far as I am concerned, the Patriots would have won that game even in the vacuum of space.
As Always, Keep Looking up.
-Neil deGrasse Tyson, Chicago
I was pretty excited to see this, but after re-reading it to the end this time, I'm not sure what to make of it. Seems like his calculations still aren't meshing with other experts in the field.
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