Tire out of balance, bent wheel, or if it vibrates only when braking you have a warped rotor.
More than likely a tire out of balance, or a tire with a defect. The tyrod end may also be the culprit.
parking brake on.
During acceleration? I'm not sure. But when both idling and acceleration the engine's combustion can cause a lot of vibration in the steering wheel if you are in an older vehicle.
The vibration was so severe in the front end, I had trouble steering the car. I could only feel the vibration when the car accelerated. Earthquakes cause a distinct vibration of the earth.
Steering wheel vibration when applying brakes is usually caused by warped disc brake rotors
Perhaps a bad speaker.
Warped rotor,Tie rods, Wheel bearings (hub).
The most common cause is a tire out of balance. It can also be a bent wheel, defective tire, wheel bearing, or steering parts worn.
It will cause both vibration and a knocking noise The vibration may feel like it is at the rear of of the SUV but be careful to have the drive shaft checked.
This is probably due to worn brake rotors on the brakes, if there is no vibration when driving then this will be the cause.
A flat tire is one possibility
1996 c60 truck if you turn steering quickly at low speeds vehicle shacks acts like drive train until you stop