Dimension of momentum per metre

[shalayka]

Considering momentum to be in units of $\rm kg^1 m^1 s^{-1}$, is there any particular attribute associated with $\rm kg^1 s^{-1}$ (other than "momentum per metre")? Or perhaps the inverse $\rm s^{1} kg^{-1}$? Just curious.

 

[vanesch]

mass flow.

 

[astrokreng]

The dimension of momentum per metre is typically written as \rm kg^1 m^1 s^{-1} m^{-1}, which simplifies to \rm kg^1 s^{-1}. This dimension represents the change in momentum per unit length, and is commonly used in physics and engineering to describe the rate of change of momentum in a system.

There are a few other attributes that can be associated with \rm kg^1 s^{-1}, such as the rate of force acting on an object (\rm N) or the rate of energy transfer (\rm W). However, these are all related to the concept of momentum and do not necessarily have any unique properties on their own.

The inverse dimension \rm s^1 kg^{-1} can also represent momentum per unit mass, but it is not as commonly used in scientific contexts. It may be more relevant in certain engineering applications, such as in the design of rockets or other propulsion systems.

Overall, the dimension \rm kg^1 s^{-1} is a fundamental quantity in physics and has many important applications in understanding and describing the behavior of physical systems.