So curious, how quick should A/C cool air?

I ran stove, fridge, water heater to make sure all was ready for our trip in two weeks, but when I remembered to try A/C I could hear the heavy sound of it, meter in outlet showed I dropped to around 110V in the red, so did not want to run it too long drawing on an extension cord on a house outlet, but still it did not seem like the air was that cool, should I have waited longer?
I did notice if I switched to fan mode only of course power draw lessened but when I switched back to the cool mode I did not start the A/C which I think must be a protection thing, so am wondering if I should let it run longer to see if it does cool.