I am working on a device that uses a raspberry pi (5v and 2.5 amps) and a brushless dc motor (11.1V at .066 amps —
http://1012007.kancart.com/item_description/431). I want the device to plug directly into the wall. How would I go about finding a power supply that can power both of these devices?
Electrical – How to power a raspberry pi and brushless motor from wall outlet
power supply
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Entirely viable. Eben if you had 2A x 4 ports x 5V = 40 Watts you should be able to get 80% efficiency or 8 watts dissipation. 8 Watts (or even 20W) is able to be dissipated either into air space around box or, if needed, via a metal faceplate. 2A x 4 would be extreme probably and you'd usually have much less heat to deal with.
The connection scheme you are using will work fine even if you use two separate supplies, one for the board and one for the device (5v each).
As long as the Vcc wire is not connected between the device and board you can power the board from the USB port of the PC and the device from a wall wart.
When you are using the same PSU to power both the device and board (like in your image) there in no need to break the Vcc connection between them, they are connected in the PSU junction anyway so they may as well connect through the usb wire too.
In other words you can use the Y cable you show to power the device and board without a need for any modification BUT while they are powered like that you can't connect the board to the USB port of the PC, if you want to do that then you should leave the Vcc connection open. The Vcc wires shouldn't be connected between devices that don't share the same power supply (unless there is a protection mechanism like a diode).
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Best Answer
You require two different voltages. Your options are:
I'd go with the first one. You probably have a suitable PSU lying around. If it all works and you want to tidy it up then look at the second option.
Edit:
I took your 0.066 A motor current as being max or close to max. As pointed out in the comments, it can, for some reason, draw up to 10 A. This isn't typical wall-wart capability.