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Finite10:
You are getting things confused by not clearly reading the definitions to which you refer.
Power is the rate of doing work, change of energy, and is an instantaneous value. If work is done at a steady rate, then power is constant. If the torque applied to a shaft is constant and the speed of the shaft is constant, then the power is constant.
In calculus you would describe power as
p = d(e)/dt
where
p = the instantaneous power
e = the value of energy in the system at the present instant of time
t = instantaneous time
If the magnitude of energy in a system is constant, a mass has been raised 1 foot and remains at that position, then there is no power transfer after it has been raised and p = 0, but there was some power used to raise the mass. If it was done fast then the power would be high, and if slow then power would be low.
If you apply a constant force of 1 # to this mass during a period of one second and in that period raise the mass 550 ft, then the rate of during this work is 550 ft-#/second and that equals 1 HP.
A non-zero rate of change of power, I do not believe it has a specific name, would result from accelerating a mass.
If a KWH meter is at 10,000 and is not rotating, then there is no power transfer. If over a 1 hour period it changes from 10,000 to 11,000 then there was a change of energy of 1 KWH. If that changed at a uniform rate over that 1 hour, then the power would have been a constant 1 KW. But there could have been a 10 KW load for 1/10 hour and the meter change over that hour would still have been 1 KWH. But the instantaneous power would have had two different levels, 0 and 10 KW. In normal applications there are much more complex power vs time curves for a 10 KWH change in energy.
Your statement:
My post:
KW is a rate of power,
Your correction:
Actually not so. kW is power. Not a rate of power, just power.
Source of my interpretation, Applied Physics -Schaum's 4th ed.
pg 76 "'Power' is the rate at which work is done..."
pg 78 "'Energy' is that property something has which enables it to do work."
Power has units of watts, 1W = 1 Joule per second of time period. (A rate, by definition)
pg 76 "'Power' is the rate at which work is done..."
Your page 76 statement is correct.
1W = 1 Joule per second of time period. (A rate, by definition)
This statement is also correct because a Joule is a unit of energy, not power.
You need to read your reference clearly.
Read the rest of your comments and see if you can clarify your thoughts on this.
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