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|    Message 44,134 of 45,986    |
|    Mikkel Haaheim to All    |
|    Re: Rotational Momentum, Astronaut Orien    |
|    08 Jun 16 02:56:04    |
      From: mikkelhaaheim@gmail.com              Le mardi 7 juin 2016 21:22:15 UTC+2, Christopher Rice a écrit :       Here is a little more info to supplement Mark's response. He was being rather       generous.       Standard pressure is around 1 N/cm^2, or (even more grossly rounded) about 10       kg*m/s*cm^2. The larger the hole, the more quickly it will vent out...this       means a larger hole will have a greater initial impulse, but that impulse will       not last as long. As        mark said, this impulse will decrease rapidly, because you are quickly losing       the gaseous mass that is supplying the pressure (if some idiot has set the       airflow to compensate for pressure loss, however, this impulse could last as       long as the air supply        does). Now, let's say that the hole is 1 m^2 (about the minimum size for the       spinning astronaut to fit through). That means that the initial rate of loss       will be about 10 000 kg*m/s. However, since there is only about 300 kg of air       in that room, the flow        will only last about 3/100 of a second. This means that, generously, the       ejected air will have a maximum momentum of about 50 kg*m/s.       But that will not be the momentum of the astronaut. As Mark said, although the       direction of the ejection out of a cylinder will have a rather insignificant       impact on this figure, the orientation of the astronaut's body will have a       rather large impact. In        effect, the astronaut's body is acting like a sail. The more surface area       presented to the outgoing air, the greater the momentum imparted into that       body. If the hole is above the body, the astronaut will only present about       1/10 m^2 of surface area,        while a hole directly in front will present roughy 1 m^2 (10 times the       acceleration). Let's say the latter is the case. Assume (incorrectly) that the       body is exposed to the pressure of 1 N/cm^2, all trying to exit the room at       once. This means that the        force applied will be the same as the outrushof air. However, there is only a       maximum volume of about 5 m^3 of air behind her body, or about 6 kg of air.       This air will exert a force during the 6/10 000 of a second before it flows       around the body and        escapes. This will, at most propell the astronaut at 0.1 m/s, assuming an       average mass for a fit female astronaut at about 60 kg.              I am not a professional at this. I could have made any number of mistakes or       miscalculations, but I think I have this mostly right. If anything, I think MY       figures are probably over generous. I very much doubt the astronaut is going       to exceed a few cm/s        velocity.       Another point to consider: every amount of energy put into spinning the       astronaut will be at the expense of velocity. If the (reasonble) unbalanced       distribution of force causes her to spin at any substantial rates (difficult       to recover from), her        velocity will more likely be measured in mm/s rather than a handful of cm/s.              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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