The general rule is 2:1 for replacing a gas motor with electric. Do you know if the gas motor is the original motor? Or how well it handled the load?
And... There are other considerations. The gas motor makes it's full HP at 3600 RPM. Most electric motors run around 1725 RPM, you can get them at 3450, but not as common, and tend to be harder on belts.
You'll need to calculate the speed you want the auger to run, adjust the pulley size to accommodate the electric motor speed.
The easiest way to get an idea what would be needed would be to find a make, model, and serial number, contact the mfg, ask what it is supposed to have. There are also engineering guides that can calculate the motor requirements. You'll need the screw diameter (5 in.), pitch of the screw, weight of the material, desired volume, screw RPM.
Long story short, if the 5 horse gas motor was sufficient, a 3 horse electric should handle it.
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Today's Featured Article - Field Modifications (Sins of the Farmer) - by Staff. Picture a new Chevrolet driving down the street without it's grill, right fender and trunk lid. Imagine a crude hole made in the hood to accommodate a new taller air cleaner, the fender wells cut away to make way for larger tires, and half of a sliding glass door used to replace the windshield. Top that off with an old set of '36 Ford headlight shells bolted to the hood. Pretty unlikely for a car... but for a tractor, this is pretty normal. It seems that more often than not they a
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