A/C and a generator

Thanks for all the input.
I pull a trailer most of the time so the size of the generator is not an issue.
The EU3000 could also come in pretty handy at home during outages to keep the refrigerator/freezer and a few lights going.
I don't think it would run a home A/C unit.
Zulu

In answer to the question, yes, any 3000 watt class of generator should suffice and while the various 2000 watt gennys will work in varying circumstances with or without the soft start caps, the larger units will be running with a lower load as a percentage of capacity. Since you specifically mentioned the Honda, it will likely be quieter than a Honda 2000 which if it does carry the load will be running at near full capacity.

It's not the running amperage that matters it the starting amperage. Also called locked rotor amps and inrush current. This is the amperage required to get the compressor moving from a dead stop. Even though this takes less than a second the power supply will need to be large enough to overcome the "locked rotor amps" LRA is usually 6-7x or more that of running amperage.

The 3000 watt generator should have no problem starting any rv roof unit.

As mentioned above you don't need a unit that big just for the air if you install a soft start cap. A 2000 watt generator will deliver 15 amps or so, more than the a/c needs. It may not be enough to get the unit started though without an upgrade to the start capacitor. We installed a micro-air in our new camper. They work great.

https://www.microair.net/products/easystart-364-3-ton-single-phase-soft-starter-for-air-conditioners

You can get away with a Honda 2200i, and a MicroAir installed on your AC.

Do a google or similar search for your product. I think you will find several sources of info for it. If it is a 9200 BTU unit it will normally pull less than 12 amps so the gen you are considering should provide more than enough reserve power to run it.

The motor plate attached somewhere on the a/c unit should have both the starting load and the running load. Kayteg1 is correct regarding actual vs design but unless something is significantly wrong, they will be close to the same.

The only way to find amp your AC draws is putting a gauge on it.
The factory btu ratings are having very loose tolerances.
I had 15k Carrier running at full blast with less than 9 amp.
On my TC the AC takes 6.7 amp to run.
Than from the million topics on the subject you should know that is it starting load that require hefty generator that counts.