Motion Identification
Motion Identification
Does Larson identify the expressions s^2/t^4 and s^3/t^6 with any mechanical or electrical quantity?
Motions in more than three dims
When any of the units exceed three dimensions, as in the examples you state, it usually indicates a compound motion--two or more motions working together. And since all common units can be reduced to units of space and time, we tend to have multiple labels for them.
I am not aware of any specific meaning for either of these; to determine exactly what they are would be to examine how they were derived, and look at the component parts.
For example, acceleration is s/t^2, but that is not an accurate view -- it is actually (s/t)(1/t) -- a compound motion of two velocities. This becomes obvious when you see its derivation a = v/t.
s^2/t^4 could be planar acceleration and s^3/t^6 volumetric acceleration, but that would only be one interpretation in a mechanical sense.
I am not aware of any specific meaning for either of these; to determine exactly what they are would be to examine how they were derived, and look at the component parts.
For example, acceleration is s/t^2, but that is not an accurate view -- it is actually (s/t)(1/t) -- a compound motion of two velocities. This becomes obvious when you see its derivation a = v/t.
s^2/t^4 could be planar acceleration and s^3/t^6 volumetric acceleration, but that would only be one interpretation in a mechanical sense.
Every dogma has its day...