Get new front brake rotors, there cheap.
Three things to check, Wheel balance, Alignment, or most likely the front rotors may be slightly warped.
u got a warped rotor or rotors
Tire out of balance or bent wheel.
What make the steering wheel shake is the tires that need wheel balance.
Not the steering wheel shake itself, however what is causing the steering wheel shake, can certainly be extremely dangerous and potentially cause you to lose control of the vehicle. **GET IT CHECKED OUT BEFORE THAT HAPPENS**
Yes A VERY common concern is steering wheel shake due to ice in the rims
Yes, it is possible. Any loose/worn front end part can cause steering wheel to shake.
usually your cars out of alinment
Your power steering pump and or steering box may be about to give out on you.
There are several causes of this but the most common we call a head shake. This is when the tires shake side to side, the cure is to insure the steering is tight and you add one or two hydraulic steering dampers.
Wheel balance
im guessing it has something to do with velocity and road conditions. yet again, if i'd imagine that a steering wheel shouldn't shake.... that can't be good.