Basic: Rule of Thumb for Newton's Cooling for ACs

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SUMMARY

This discussion focuses on applying Newton's Law of Cooling to air conditioning (AC) systems, specifically estimating the time it takes for the temperature to rise from 60°F to 85°F after turning off the AC. The participants emphasize that the rate of temperature change depends on factors such as insulation thickness, ambient temperature, and the area exposed to the environment. A formula is suggested: (Area exposed to ambient temperature times temperature difference between ambient and system) divided by (thickness of insulation times heat capacity of system). The conversation highlights the variability in cooling rates based on system size and insulation quality.

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Hi, just curious:
Is there a nice rule-of-thumb to apply Newton's cooling to ACs? Specifically, if I know the AC temperature is , say 60 deg. , how long will it take, after I turn off the AC, before thetemperature rises to an unacceptable level of 85 degrees?
Thanks.
 
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WWGD said:
rule-of-thumb
If your thumb feels warm, it's probably no longer 60 F. Practically, without knowing anything about thickness of insulation, or ambient temperature, you can say nothing.
 
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Bystander said:
If your thumb feels warm, it's probably no longer 60 F. Practically, without knowing anything about thickness of insulation, or ambient temperature, you can say nothing.
Thanks, is there a formula/rule of thumb in function of those two variables?
 
(Area exposed to ambient temperature times temperature difference between ambient and system) divided by (thickness of insulation times heat capacity of system) in appropriate units.

Large, well insulated systems cool/warm slowly, and small, poorly insulated systems cool/warm quickly.

Are we talking about bait buckets or meat lockers?
 
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Bystander said:
(Area exposed to ambient temperature times temperature difference between ambient and system) divided by (thickness of insulation times heat capacity of system) in appropriate units.

Large, well insulated systems cool/warm slowly, and small, poorly insulated systems cool/warm quickly.

Are we talking about bait buckets or meat lockers?

Thanks, sort-of in-between . My AC goes down to around 61, I have your average apartment, 2nd floor. I think insulation is average. I will look it up, thanks.
 
Sunny side? Neighbors overhead?
 
Bystander said:
Sunny side? Neighbors overhead?
Ah, sorry and thanks again. I have a small window facing sort-of inner garden, around 15' x 15' facing the north side, and it faces another building, i.e., there is a small garden separating my apartment from a 5-story building. No other windows I have 5 stories above me, one below, and and I don't get much direct sunlight. Strangely-enough, the place remained warm in Winter with little, if any heating, but the reverse is not so in Summer, the place is very humid and hot.
 
WWGD said:
remained warm in Winter with little, if any heating,
Neighbors below, behind, and to either side are elderly?
 
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Bystander said:
Neighbors below, behind, and to either side are elderly?
Ah, sorry again. Neighbors to the right, to the left, top and bottom, but not behind. I don't think are elderly, pretty sure not, but not 100% but how does that make a difference?
 
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There is a tendency for older folks to run their living spaces slightly warmer. Just thought your AC might be having to fight someone's rheumatism.
 
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  • #11
I see. Thanks for your patience and sorry for my slowness. I will be out for a run for around an hour just in case.
 

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