Max operating temp of motor is 130℃ / 266℉; Max ambient temp is 60℃ / 140℉. Note: Please turn the fan off immediately if the blades get stuck by other objects and turn on after clean.
But there are other sources of it too. One example is the joint between the inline fan and the adjacent filter or duct silencer. The vibration of the fan amplifies even more at this kind of joints.
If it has an attached heat lamp ... bathtub and toilet. An inline fan is mounted in a remote location (often the attic) and ...