What is the name of the test for the since we're an assistant turn the wheel from side to side with the tire on the ground?

The test you're referring to is commonly known as the "turning radius test" or "steering play test." This involves turning the steering wheel from side to side while the vehicle is stationary and the tires are on the ground to check for play or excessive movement in the steering system. It helps assess the condition of the steering components and alignment.