Steering wheel is vibrating and shaking - Taurus Ford Cars & Trucks

What year is your car, maybe the steering is out of alignment or the wheels are out of alignment or they are unbalanced have you hit a pothole lately you may have bent your rim.

Why Is My Car Vibrating? - Steering Wheel Shake - Top 5 Reasons Why Car Is Vibrating
https://www.youtube.com/watch?v=DlfXbKJPTF4

Steering Wheel Shake and Pulsation Diagnosis
https://www.youtube.com/watch?v=wGW1m2lJfAs

Good Vibrations? - Steering Wheel Shakes
https://www.youtube.com/watch?v=201YzuMipsw

Very unlikely a bad alternator is going to cause a steering wheel shake even if the alternator is seriously out of balance. In that case a high frequency vibration will run through almost the entire car and the alternator will soon self-destruct.

There are a few reasons why a steering wheel might shake and mostly these relate to the integrity of the front wheels and tyres, the roundness, the radial and axial run-out, the balance and the compatibility with each other and the vehicle. Problems with the wheels and tyres can further be aggravated by steering/suspension wear or misalignment, worn shock absorbers and even binding brakes or warped brake discs.

The rear wheels and tyres and suspension and brakes are also important for a smooth ride and could conceivably cause a steering wheel shake, though a different sort of shake to that caused by the fronts. In this case the vibration is often felt mostly through the seat of the pants and from the seat back.

Warped or out-of balance brake rotor? Also keep in mind that loose rear differential trailing arms that allow the rear differential to squirm around can also cause steering wheel shake.

sounds like a bent wheel rim

if you let off the gas and it stops vibrating, have the cv axles checked. if the steering wheel shakes at parking lot speeds, a tire is bad.

If you get a bad vibration in your steering wheel at low speeds without braking it is either a bad tire or a bad rim. If you get a vibration at speeds around 45-50+ and goes away you probably have a balance issue. If the vibration only occurs while braking then your rotors are warped. If low speeds it shakes i'd take it to a shop to check your tires.

Broken motor mount(s)?

Sounds like the rotors are warped,Take to a brake shop and have them checked or replaced.

Front shocks are week