Vibrating steering wheel

This could be a tire problem, like a defect in a tire, have someone carefully look at your tires, a Pro, because a defective tire could easily blow out and cause an accident.

The tires could be a problem however I have also seen axles cause this condition. The way to tell the difference is during acceleration if the car vibrates excessively and goes away when you let off the gas I would look at the axles. Make sure the engine and transmission mounts are good.