The power steering pump is responsible for providing hydraulic pressure to the steering system, which allows the driver to turn the steering wheel with ease. When the power steering pump is bad, it can cause the steering wheel to vibrate, especially at low speeds. This is because the pump is not able to provide enough pressure to the steering system, which causes the steering wheel to become difficult to turn. In addition, a bad power steering pump can also cause the steering wheel to feel loose or unresponsive, which can be dangerous while driving. If you are experiencing any of these symptoms, it is important to have your power steering pump inspected by a qualified mechanic.