This paper derives probability models which predict dynamic imbalance
of rotors. The models are based on physical laws and specific knowledg
e of how the rotors are made. Several sources of imbalance are conside
red. It is shown that wider tolerances in the orientation of a rotor l
ead to more likely worst-case imbalances. It is shown that the expecte
d dynamic imbalance of a cylinder is proportional to the square root o
f the feed rate of the cutting tool over the speed. Thus, such models
show how various parameters in the manufacturing process affect the di
stribution of imbalance. In this way, manufacturing decisions on how t
o effectively reduce imbalance can be made prior to observing any data
.