So, I have this typical portable tire inflator (air compressor) for cars, which has a car plug, and that's 12V DC. I want to be able to use it at home, so I need to convert those 120-240V AC of a wall outlet to 12V DC.
First I thought about these "small" transformers were you can select the output of 5V, 9V or 12V, but they are only rated for 40W maximum.
My first question is, how in heavens a car plug can provide 180W but a house generic mini transformer can only deliver 40W. Where do you need more power/flexibility, in the plug of a car or in a house? It really shocked me that I can't use any of my spare mini transformers for a car device.
My second question is, what to do?

First I thought about these "small" transformers were you can select the output of 5V, 9V or 12V, but they are only rated for 40W maximum.
My first question is, how in heavens a car plug can provide 180W but a house generic mini transformer can only deliver 40W. Where do you need more power/flexibility, in the plug of a car or in a house? It really shocked me that I can't use any of my spare mini transformers for a car device.
My second question is, what to do?