Originally posted by tribaltalon
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Red Bull Stratos Mission
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Originally posted by jdgregory84 View PostSooooo...the further he falls, the thicker the atmosphere, therefore the slower he goes? Does he plan on breaking it within the first 20,000 feet of the fall?Originally posted by Geor! View PostThe denser the atmosphere, the more drag. I forget the equation but once gravity equals drag, you're at terminal velocity, I think. Basically, when he hits a certain altitude, he will begin hitting the brakes. Yale could explain it better.
From a PopSci writeup on Stratos a few years ago:
Within 30 seconds, Baumgartner will accelerate to about 690 mph—fast enough to break the sound barrier at 100,000 feet.
He will travel faster than the speed of sound for only a few seconds before he hits denser air that will slow him down.
Scientists are particularly interested in how his body will handle the transition between supersonic and subsonic speeds.
He’ll spend roughly the next five minutes free-falling, slowing to a terminal speed of 120 mph. Turbulence or an erratic hand gesture could upset his aerodynamics, sending him into a 120-rpm spin that could knock him out. If he spins at 100 rpm for more than 10 seconds, a special parachute, called a drogue, will deploy to slow the spin.
At about 5,000 feet, he will deploy his main chute or, if he’s unable to, it will activate automatically. Depending on how the wind pushed his balloon during its ascent, he could land as far as 150 miles away from the launch site.
Originally posted by Geor!when he hits a certain altitude, he will begin hitting the brakes.
Vt = sqrt [ (2*m*g) / (p*A*Cd) ]
In the numerator:
(2*m*g) is a constant. Mass and gravity won't change.
In the denominator:
A is the frontal area. Assuming he stays in the same position that is a constant.
Cd is the coefficient of drag and it's not constant. It varies with speed (and gets into fluid dynamics, turbulent vs laminar flow, etc), but for simplicity imagine it being constant.
Here's the key:
p is the density of the medium (air) so as the density grows with the lower altitude (and the numerator is constant) the Vt value naturally has to shrink.
He'll haul ass at first when the air density is ~0.005% of sea level air density but physics dictates he continuously slow as he falls.
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At that altitude the speed of sound is 696 mph and 662 at 70,000 ft. I guess he should cross it in there somewhere before he crosses back into the troposphere1971 Ford Torino - Time to go bigger and better.
2011 F150 Limited - Stock with a 6.2
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