I don’t think they can be classified as the same thing because a gyro’s degrees of freedom is the measure of the amount of axes in which gyro displacement can take place and it does not take into consideration the gyro’s own rotational axis, so a gyro with two axis i think would be a single degree freedom gyro and one with 3 axis would be a 2 degrees of freedom
A gyro can be assessed by looking at its freedom to spin on its axis (the plane of rotation) and whether they have freedom in the 2 other axes which are 90 degrees to the plane of rotation and to each other.
The planes of freedom includes the plane of rotation.
The degrees of freedom does not include the plane of rotation.
Exam questions can use either of these terms so be sure to read the question carefully to decide whether or not to include the plane of rotation in your answer.
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