A link to the manufacturer's product-specification page would have been useful. The pretty picture doesn't really tell us very much.
It depends on the actual maximum load the motor will potentially place on the circuit. To determine that, you need to look at the ID plate on the motor itself (
NOT the fancy graphics plastered all over the tank, or in the advertising literature). The key figures are "HP" (Horsepower) and "LRA" (Locked Rotor Amps). While the latter can give you a good idea, officially it is the former which is determinative.
If, as I rather suspect, you're talking about THIS:
http://www.aircompressorsdirect.com/Iron-Horse-IHD6160V1-Air-Compressor/p5489.html
model, then I seriously doubt that is going to be adequate. They provide precious little REAL info on that page; and what they do post at least partially conflicts with the downloadable "Spec Sheet". But it would appear that it uses AT LEAST a 3-horsepower motor (the "Spec Sheet" claims 6.5 HP). See
http://www.garagejournal.com/forum/showpost.php?p=3272381&postcount=13 for further details on how to figure this out.
One other thing: Since this is not a "portable" (i.e., wheeled) model, you WILL want to hard-wire it, with a disconnect box/switch nearby (code says "within sight of" and 50 feet max.; but I generally prefer it to be MUCH closer than that, typically immediately adjacent on the nearest wall), using armored cable between the disconnect and the unit itself.