It could mean that your tires are out of round. If your steering wheel shakes a lot while you’re braking, that could mean that your rotors are out of round. In other words, the rotors have started to wear out, lose their shape, and become warped. In this instance, you’re also likely to feel some vibrations through the brake pedal whenever you press your foot down on it. The brakes are an extremely important component of your vehicle since they allow you to stop safely, so it’s important to get this issue looked at as soon as you possibly can.