As Grizzly has said, in terms of dimensions, I'm afraid that's all wrong. The dimensions of energy include time^-2, hence the dimensions of power include time^-3.
What do you actually mean by that?
So energy has length?
And a Watt second is a Joule.
There is, that's what the h is.
Be careful - in the first use of the word "pound" you are talking about mass, and in the second you are talking about force.
)You could not possibly do the latter, as a slug is a unit of mass. The problem here is that "32 lb/in²" is a sloppy term - it should be "32 lbf/in²" - 32 pound-force per square inch.
Yes, because kg is a unit of mass, and what we want is a unit of force. Pressure is force per unit of area.
Not as units of mass. A bag of flour which we say weighs 1 kg here will weigh more or less that that in other places in the universe, but wherever you take it it will always have a mass of 1 kg.
It just does.
And a knot/hour would be a measure of acceleration.
It takes a certain amount energy to pump a given amount of water up a mountain of a given height, and that energy (whether from electricity or whatever) then gets converted into potential energy of the water. How much power it takes to pump the water up the mountain will vary, depending entirely on how quickly one pumps it (i.e. how much time it takes to supply the required amount of energy to pump the water up the mountain).
Yes you have got it energy does not have time component. Power depend on how quickly you pump it so has a time component. Spot on.
Losing the k keeping to just watts to make is simple so replace the watts with a Joule we have a (J/s)/360s removing brackets that's J/s x 360s the s cancels out so W/h = 360 Joules with no time involved it has been cancelled out.
With respect, you don't seem to understand what we are all saying. Dimensionally (i.e. in terms of physics), both power and energy very much have 'time components - time^-3 and time^-2 (or 1/time² and 1/time³ if you prefer) - even if you choose to use units which fail to 'highlight' that.
... and, as I said, in SI base units, it is kg.m²/s²
There might not be any references to time in any of the definitions you have chosen to to quote, but if you accept that kg.m²/s² is a perfectly correct unit for energy (whether electrical, potential, chemical or whatever), the presence of a 'time element' is quite clear and obvious. If you do not accept that energy can be measured in units of kg.m²/s², then we have a problem!
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