Does the wobble occur at all speeds or just low or just high speeds? Is it a front wobble or rear or both? Does it occur all the time or just intermittantly?
The problems could be with steering neck bearings, wheel bearings, out of true rims, a bad spot in the tire or an out of balance tire, swingarm bearings, improperly assembled tire/rim/axle. these are the first places to look when approaching this problem with the info you gave. Unless you mean speed wobble, where an entirely different set of dynamics are involved there!!!
Warped rotor(s)
The wheel may not be balanced properly, the wheel may not be installed correctly or the tire could be bad.
If you are referring to the steering wheel wobbling whilst driving along, then you probably have one or both of the front wheels out of balance. If the wheel wobbles at a certain speed then it may be a problem with the front locking wheel hubs or a bearing problem.
If your car makes a wobbling sound at more than 40 mph, the first suspect is a wheel which is unbalanced. Confirmatory signs are that your steering wheel jiggles in your hands, and if you increase speed to about 60 mph wobbling and jiggling stop. Almost any tire retailer can fix this in 15 minutes.Warning. Before you actually try at 60 mph, check that all your lug-nuts are tight; it is probably not this, but if it is 60 mph might kill you.
Speed related shaking is usually an indication of an out of balance tire or a bent wheel.
CV joints are gone, and need to bew replaced, then must do a front end alignment. Lug nuts on the tire could be loose and tire is wobbling when going straight. Turning left or right would keep the wheel from wobbling and the sound would stop. Make sure all nuts are secure. I've had front wheel bearings fail just like that.Replaced CV joint and it wasn't needed.
wheel bearings
wheel bearings are to loose
have you check your ball joins.
A bad tire with belt separation. Rotate the tires and see if the problem goes away or moves to the back.
Not sure
Have that tire checked it may be out of balance or have broken steel belts, also check the wheel bearings and suspension bushings.