She woke up when the plane was hit by turbulence.
She woke up when turbulence hit the plane.
Do the two sentences mean the same? Are they equally natural?
This is called "active or passive voice", and generally changes the emphasis of the sentence but not the meaning.
In your first sentence, the emphasis is on the plane, and the turbulence is a detail; in the second, the emphasis is on the turbulence, which is actively doing something.
A clear way of seeing the difference is that you can remove the second part of each sentence:
If you search online for "passive voice", you will find lots of discussions of its effects, and when to use or avoid it.