Hello, I'm TV Tech1 and I'll be working with you to identify and help you resolve your problem.
Hmm, that Ipad has got to have 5510 printer drivers for it....and it has to be connected to the router and work fine with other operations, but that one printer. Is that Ipad the ONLY computer connected to the system or do you happen to have a desktop computer connected to a router to your printer?
My experience with HP connecting wirelessly to my computer has been....well, super brainless super easy -- almost too easy. I just pressed the power button on my printer, hit the network setup, and it connected, THEN sent printer drivers to my computer. I re-ran it with my wife's computer and it did the same thing.
It's not like in the olde days where you had to install the drivers and the HP program on the computer, then select the drivers for the printer, then restart everything...no, it's almost TOO EASY.
I would expect that from your computer(s) too.
And it's kind of important to determine if the Drivers aren't present and it's never printed from your Ipad....or if the issue is the HP printer just doesn't appear on the network, but you have no problems connecting to the internet, but the printer isn't seen on the network.
I don't know if you had a previous printer on your network that the Ipad was using, but I will tell you this -- I removed my Olde printer software from my computers before I even had my HP connect to my router, discover my computer, and transfer the drivers and the operating software for my printer to the computer.
The whole concept of installing drivers and printer software is totally backwards from when I installed my last HP. "Super brainless super easy" so to speak.
Scared me half to death it was so easy and I had no control over it.
Almost makes it hard to have any control over it.
Listen, I brought that story up for a reason.
1] To see if that's how your first connection experience was with your printer.
2] To see if you are only using ONE Ipad and if you aren't -- See if your other computers work ok, and ALSO see if your Apple is on a 100% Apple setup or a mixed Apple/PC setup.
Notice all the different drivers for the different operating systems?
Is it a DRIVER issue or is it a CONNECTION issue where your Ipad isn't even connecting to the network, then the network isn't connecting to the HP?
We have to break the problem down into smaller sections like that to figure out why you're having problems.
I hope I haven't overwhelmed you with questions about your setup. But it is important to get a whole picture of your Home's network and check to see if the printer and the Ipad are the only 2 parts in your network.
Also, it's nice to know if your printer had that "super brainless super easy" setup like mine, or if you did have to install software on your Ipad first, then make the connection to the printer second.