What is a cubic second?

Answer 1

A cubic second is a second cubed. In other words, it is a second multiplied by a second multiplied by another second. It is the unit whose reciprocal represents a quantity to describe a steady increase in acceleration of some unitless measurement such as angle. In other words, 1/s3 represents a steady increase in the rate of steady increase of the rate of steady increase of some unitless quantity such as angle. An example of when this would be effective is a situation wherein a machine is built to spin a propeller, and it has just been activated and is warming up at a constant rate; the torque on the propeller is steadily increasing, and so, therefore, is its angular acceleration. There would exist a radian measure n such that n/s^3 describes how fast the angular acceleration is growing and by extent how fast the machine is warming up.