I'm not talking about training with weights so that when you run without them your muscles are used to pushing more weight so with less weight it'll be easier, I'm talking about while actually holding them.
So this question arose when I decided to carry some light weights (1 kg) as I went for a fast jog: I noticed how easy it was to run faster while holding the weights which got me thinking.
I figure that it would allow you to run faster for the same sort of reasons that we swing our arms in the first place but now it's just multiplied somewhat. Running with weights in your hands will allow you to conserve angular momentum far better which means you should be able to move your legs at a faster rate, i.e. some more of the work is being done by the arms. Moving your left arm back will contribute to moving your right leg forward, so the more momentum that is in your arm the easier it should be correct? Obviously this only works with light weights as if the weight slows down your arm movements you may actually lose momentum. Are my conclusions correct?
I also guess that this will also tire out your legs more as you are pushing around more weight.
Does this all mean that sprinters should train their arms a lot in order to run faster with the higher mass causing more momentum with each swing of the arms?