Why does steering wheel vibrate at idle and in reverse just had a new water pump timing belt installed tie rods an alignment did not prior to this work?

Several factors can contribute to a vibrating steering wheel at idle and in reverse after recent repairs involving the water pump, timing belt, tie rods, and alignment. Here are a few possible causes to consider:

1. Engine Misalignment:

- During the timing belt installation, if the engine was not properly aligned with the timing marks, it can cause vibrations.

- Misalignment can affect the synchronization between the engine's components, leading to imbalances.

2. Defective Engine Mounts:

- Worn or damaged engine mounts can cause the engine to move excessively, resulting in vibrations that are transmitted to the steering wheel.

- Engine mounts play a vital role in absorbing engine vibrations and preventing them from being felt inside the cabin.

3. Tire Imbalance:

- An improper alignment or imbalanced tires can introduce vibrations that are noticeable at certain speeds or when the car is in idle.

- Even a slight imbalance can cause noticeable vibrations, particularly at low speeds.

4. Driveline Issues:

- If the tie rods were replaced or adjusted during the alignment process, a problem within the driveline, such as a faulty universal joint or driveshaft imbalance, could also contribute to vibrations.

5. Damaged Steering Components:

- If any steering components were affected during the work performed, such as the steering rack or steering linkage, they could cause vibrations to be transmitted to the steering wheel.

It is important to have a qualified mechanic inspect the vehicle and identify the specific cause of the vibrations. Some of these potential issues may require further adjustments, repairs, or replacements to resolve the problem.