Of course
Of course
So how long to transport all of Wales into space?
Not that I've any idea what you're talking about - treid it out on ChatGPT4, and It thinks:
Most of it is already there.
The dimensions of power are mass x length squared / time cubed even google knows that; if ChatGPT can't work in units of elephants, double-decker buses and size of wales, what hope has it got of taking over the world?
Did you mean km^2 ??
That's not what he's asking.
IOW, it's asking you to verify by dimensional analysis that the stated units - kew/f^3 - represent a unit of power.
I was thinking along the lines of what we were taught at school, many years ago, which involved reducing everything to fundamental units of LMT. I never did grasp it, and if on the odd occasion I tried to do it, it came out wrong I never knew if it was the way I'd done the analysis or the formula I was trying to analyse.
D A tells you whether the answer you've got could be right, as in. do the units make sense. It doesn't tell you whether the answer actually is correct.
So, f'rinstance, speed is distance in a given time, so has dimensions of L/T. If you calculate a speed and it comes out as 20 tons (a mass with dimensions M) then you better try again.
Yes and power is L^1 M^2 T^-3
And you'll notice that (unprompted) google gives the answer in watts.
And I now suspect that I not only got the m^2 vs km^2 wrong, I'm also out by a factor of (14*24*60*60)^2, but nobody noticed that :-)
should have used wolfram alpha ...
I should just give in today
M^1 L^2 T^-3
By Grabthar's hammer, never give up, never surrender.
I suspect fear of committing lèse-majesté :)
Computers understand little, but in some areas beat us by huge margins. AI will too. Therein lies both reward & danger.
The solid fuel used in the space shuttle boosters will have created some interesting pollution. It consisted of ammonium perchlorate and aluminium all bound together with rubber. Visitors to the site when a launch was due were advised to cover their cars in plastic sheeting to protect the paintwork from the hydrochloric acid rain.
John
I don't know what you were thinking of, but the primary use of a "Saturn V moonrocket" is indeed the Apollo program.
I vaguely remember that some of the upper stages were H2+O2, but there was a visible smoke plume from the first stage.
I don't know. Either way.
Andy
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