There is nothing worse than removing an old motor to replace it with what turns out to be a faulty motor. There are some basic tests that can be carried out to try an minimise the risk of putting faulty three motors into service.
The tests below should be done prior to installation.
Test one is to verify that the shaft is free to turn and that the fan is not catching the cowl. Spinning the shaft should identify siezed bearings by listening for noises in addition to the ease at which the shaft can be turned.
Test two is to verify that all three phases are in balance. More often than not the motor will be already connected in either star or delta configuration and thus terminals UVW should be tested using an ohmmeter. U-V, U-W, and V-W should all give the same value of resistance across them. Where the motor is to be employed with a star/delta starter then the three individual coils can be tested and again should be the same.
Test three involves an insulation test of the phases to earth. Although if configured in either star or delta the three separate windings will be connected together you will see most time served electricians still test each terminal ie. U V and W to earth.
You should notice that the three simple tests outlined above will not in all cases identify faults with a new motor.
Do also investigate any anomalies in the tests above since it might be something that is simple to cure and you will not be looked upon in a good light if you condemn the new motor and increase production losses.