Levi
A very simple example :
R44, 2 POB, 140 liters, steady 50 feet hover, ISA.
Cyclic is at -2.15 degrees during this hover.
Pilot applies a step input to cyclic bringing and holding it 0.5 degree forward, so at -1.62 degrees.
Results
1. Not in graph: rotor reacts immediately <0.2 sec
2. First two seconds, no alt change, very little speed changes, just a pitching down.
3. As speed picks up, heli starts descending at 500 f/min, but pitching down is halted
4. After passing TL-point a very progressive blow back occurs that makes to heli pitch up brutally, putting nose right up in the sky.
A Pilot (at least I hope) would of course not fly like this and would apply further forward cyclic to "control" the heli. But it gives you a rough idea about time constants. (Graph starts just at the moment of applying the forward cyclic, an auto-pilot feature of the simulator controlled lateral cyclic and tail-rotor, collective was held steady on 9.5 degrees)
d3