What if i want to perform a 500fpm climb for instance, do i control the roc by means of the collective and then use the throttle to set the power?
In flight, R22/R44 -
you don't need to twist the throttle if you have a governor, it's on, and all is working normally and being flown within limits. If, as you say, you want to climb at 500fpm you will need to bring the speed back to 60kts (
Attitude to climb speed), select a MAP (
power) RAISING THE COLLECTIVE LEVER (NOT TWISTING THE THROTTLE) to a MAP above that required for level flight, and not exceeding your max MAP available (found each flight on the chart above your head, using pressure altitude and temp), and adjust the trim to keep it in balance.
As the collective is raised the butterfly valve in the carburettor will open automatically by means of a mechanical linkage to the collective, this linkage is relatively well calibrated to compensate for the increase in drag through the rotor system for most in flight power settings, but it's not perfect. Additionally, the governor can sense changes in engine RPM electronically (a feed from the right magneto I believe), and will make small corrections to the throttle if required (felt through the twist grip as small movements), to maintain ERPM at the top of the green, and therefore RRPM in powered flight. So throttle correlation does most of the work, and the governor makes additional subtle adjustments. The only time we need to use the throttle manually is for the start, shut-down, and inflight following a governor malfunction (or potentially in limited power scenarios, but thats a topic for another day).
In most cases, R22, 2 on board, at sea level - level flight will require somewhere in the region of 18-19" MAP at 60kts, MAX allowable (5 min) climb power will be approx 24.5"/23.5" MAP (BETA/BETA II), so any power setting between the two will give some rate of climb, the more power the greater ROC. For 500fpm, adjust attitude for 60kts, set a notional power of around 23"MAP establish a climb, left pedal for balance, wait for the VSI to catch up (not likely to be an IVSI in a 22), and once ROC is established adjust MAP as required not exceeding the MAX allowable MAP. Simples.