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#1
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isp from MKS units
I have a question that may have an obvious answer but I have lost too
many brain cells for it to be obvious to me. isp is given as the thrust produced/quantity of fuel/sec used. Pounds/(Pounds/sec) gives units of seconds for ISP. Do the same in MKS (metric) units and you get: Newtons/(Kg/sec)=Kg*m/sec^2/(Kg/sec)=meter*seconds. Why do I never see isp expressed in MKS units? |
#2
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isp from MKS units
"Parallax" wrote... Why do I never see isp expressed in MKS units? Do a Google search on (Ns/kg "specific impulse") and you'll see plenty of examples. Jim Davis |
#3
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isp from MKS units
In article , Parallax wrote:
I have a question that may have an obvious answer but I have lost too many brain cells for it to be obvious to me. isp is given as the thrust produced/quantity of fuel/sec used. Pounds/(Pounds/sec) gives units of seconds for ISP. Do the same in MKS (metric) units and you get: Newtons/(Kg/sec)=Kg*m/sec^2/(Kg/sec)=meter*seconds. Why do I never see isp expressed in MKS units? First off, your units are wrong in your MKS equation: it should have come out m/sec, not m*sec .... Next, the "English" Isp uses pounds mass, not pounds force. So the equivalent metric version would be Kg/(Kg/sec) rather than Newtons; resulting in "seconds" as the unit. Or, alternately, you *ALWAYS* see Isp expressed in MKS units - it's what the "S" in "MKS" is. |
#4
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isp from MKS units
In article ,
Parallax wrote: isp is given as the thrust produced/quantity of fuel/sec used. Pounds/(Pounds/sec) gives units of seconds for ISP. Do the same in MKS (metric) units and you get: Newtons/(Kg/sec)=Kg*m/sec^2/(Kg/sec)=meter*seconds. Why do I never see isp expressed in MKS units? If you read European papers, you will sometimes see it written that way. (Computed that way, it is the effective exhaust velocity of the engine.) However, there is some case for keeping Isp in seconds regardless, even though that means introducing an arbitrary factor of g (9.81m/s^2) into the way it's computed in metric units. Engineering figures of merit are often computed in fairly arbitrary ways, and consistency -- preserving the ability to compare results -- is more important than strict ideological purity or direct relation to physical properties. (Consider EPA mileage ratings, which use a test procedure that is now known to be overly optimistic in predicting real mileage, but which continue to use that procedure because it gives a consistent basis for comparison.) Isp in seconds also has the incidental advantage that it is independent of the choice of unit systems. -- MOST launched 30 June; science observations running | Henry Spencer since Oct; first surprises seen; papers pending. | |
#5
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isp from MKS units
In article ,
Michael K. Heney wrote: Next, the "English" Isp uses pounds mass, not pounds force. So the equivalent metric version would be Kg/(Kg/sec) rather than Newtons; resulting in "seconds" as the unit. Proper metric practice never, ever uses the kilogram as a unit of force -- it is always mass. Just because some versions of the Imperial units are stupid about this is no reason to repeat the mistake. -- MOST launched 30 June; science observations running | Henry Spencer since Oct; first surprises seen; papers pending. | |
#6
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isp from MKS units
I wrote:
Newtons/(Kg/sec)=Kg*m/sec^2/(Kg/sec)=meter*seconds. Why do I never see isp expressed in MKS units? If you read European papers, you will sometimes see it written that way. Except that, of course, I missed the use of "*" instead of "/" as it should be. Oops. -- MOST launched 30 June; science observations running | Henry Spencer since Oct; first surprises seen; papers pending. | |
#7
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isp from MKS units, also very-low-ISP reusable first stages
Parallax wrote:
I have a question that may have an obvious answer but I have lost too many brain cells for it to be obvious to me. isp is given as the thrust produced/quantity of fuel/sec used. Pounds/(Pounds/sec) gives units of seconds for ISP. Do the same in MKS (metric) units and you get: Newtons/(Kg/sec)=Kg*m/sec^2/(Kg/sec)=meter*seconds. Why do I never see isp expressed in MKS units? Newtons per (kilogram-per-second) to me seems to boil down thus: kg m s^(-2) per (kg s^(-1)) --- kg m s^(-2) times (s kg^(-1)) --- m s^(-1), not metre-seconds as you have it. But metres-per-second is the dimension of the effective jet velocity, aka the propellant expulsion speed. It probably has several other names. I'm curious whether any merit has been seen in reusable first stages that lift straight up just a few km, then fall straight down again, using half their delta 'V' to match speed with the ground just as they get to it, maybe decelerating a little later and more roughly if at their apogee they weren't able to get rid of the upper stages. Expelling a whole lot of very cool reaction mass. --- Graham Cowan http://www.eagle.ca/~gcowan/boron_blast.html -- fireproof fuel, real-car range, no emissions |
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isp from MKS units
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#9
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isp from MKS units
Parallax wrote
I have a question that may have an obvious answer but I have lost too many brain cells for it to be obvious to me. isp is given as the thrust produced/quantity of fuel/sec used. Pounds/(Pounds/sec) gives units of seconds for ISP. Do the same in MKS (metric) units and you get: Newtons/(Kg/sec)=Kg*m/sec^2/(Kg/sec)=meter*seconds. Why do I never see isp expressed in MKS units? You forgot g, the attraction due to gravity. It is there to change kgf to Newtons. Isp is simply the time one kilo/lb of fuel will produce one kilo/lb of force. The dimension of Isp is time. Makes sense when you think about it, a big Isp will provide the same force for longer. The unit of Isp is typically the second. The second is a MKS unit as well as a unit in many other systems. Isp is the force generated times the time the force is generated divided by (g times the fuel used). It works out like this: Force * time / (g * mass) Eg kg m s^-2 * s /(m s^-2 * kg) = kg m s^-2 s m^-1 s^2 kg^-1 = s -- Peter Fairbrother "It's all right in practice, but in theory it'll never work." |
#10
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isp from MKS units
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