Unit systems are what I’m picking up on. In the case of angular momentum, we’re talking about torque and moment defined with respect to angular displacement from some known position. It’s like a slingshot shot, where you can generate more torque if the rubber band is farther out from the center anchor point (defined as 1 in the center). This makes it easier to twist around a pivot point further away because you get more leverage ().
In physics, units are basically individual “weights” assigned for one thing or another that come into calculations when determining relationships between different things. As such, units have a purpose in showing us how much each unit means relative to others – so you can use math instead of words to make comparisons.
What are they about?
So, angular momentum units tell you what the “weight” of a particular value is relative to another. For instance, if I’m saying that something has an angular momentum of 1 kg·m/s, it means that the weight is equivalent to 1 kilogram times meters per second squared (kg·m/s).
At the same time, it’s important to note that units are just weights. You can still express torque in units of kg·m/s even when you’re not talking about angular momentum at all. Keep in mind that one unit is equivalent to some weight or magnitude or another for any given quantity involved.
The relation between units and magnitude is that units show what means a value has to be multiplied with in order for you to get a certain value. In the case of angular momentum, all we’re doing is multiplying some weight times angular displacement from an origin point. That’s why an object can have an angular momentum of 1 kg·m/s at different initial angles from origin.
