Examples of units with non-integer exponents

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Units with non-integer exponents frequently appear in various scientific fields. In electronics, noise voltage density is expressed in units of V/Hz^(1/2). In chemical kinetics, non-integer exponents for concentrations lead to unique units in rate equations. The endurance parameter for airplanes is calculated using the lift coefficient raised to the power of 3/2 divided by the drag coefficient. Additionally, cube loading is defined as weight divided by wing area^(3/2).
Chetlin
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Hi everyone,

Would anyone be able to give me a few examples of places where units with non-integer exponents come up? I know of a couple right now: noise voltage density (?) in electronics has units \text{V}/\text{Hz}^\frac{1}{2} and the statcoulomb has equivalent units \text{cm}^\frac{3}{2}\cdot\text{g}^\frac{1}{2}/\text{s}.

Are there many other places? One answer here on Stack Overflow says that they are "quite common" but I can't think of any other places where they come up.

Thanks!
 
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When writing the rate equations in chemical kinetics problems we often see non integer exponents for the concentrations. This leads to some interesting units for other factors in the equations.
 
The endurance parameter for an airplane is lift coefficient^3/2 divided by drag coefficient.
Cube loading is weight divided by wing area^3/2.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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