My air Conditioner Compressor Turns Off and On by Itself
on 2000 Ford Taurus

When the compressor is on it blows nice cold air.

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2 answers
The A/C compressor should turn on and off. But, if it does it too often, then it may mean that the system is low on refrigerant, so I would have the system serviced, not just filled up.

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https://repairpal.com/directory?address=44039&car_brand_names=Ford
your a/c system needs to be re-charged it's running low have it checked for leaks as well