A simple experiment:
- Steady level flight at FL100, speed 250 KIAS.
Increase speed to 300 KIAS while maintaining level, 0 fpm rate of climb.
=> Thrust needs to be increased to increase speed. If you change pitch, you start descending or climbing.
- Steady stable climb with 250 KIAS and 500 fpm rate of climb.
Increase speed to 300 KIAS while maintaining 500 fpm rate of climb.
=> thrust needs to be increased to increase speed. If you change pitch, the the rate of climb changes.
- Steady stable climb with 300 KIAS and 500 fpm rate of climb.
Reduce speed to 250 KIAS while maintaining 500 fpm rate of climb.
=> Thrust needs to be reduced to decelerate. If you change pitch, rate of climb changes.
- Steady level flight with 300 KIAS. Reduce speed to 250 KIAS, keep 0 ft rate of climb.
=> Thrust needs to be reduced to reduce speed while maintaining level flight.
- Steady decent with 250 KIAS, 500 fpm rate of decent.
Increase speed to 300 KIAS.
=> Thrust needs to be increased to accelerate. Change of pitch changes rate of decent.
- Steady descent with 300 KIAS, rate of decent 500 fpm.
Slow down to 250 KIAS while maintaining 500 fpm rate of decent.
=> Thrust needs to be decreased to slow down. Change of pitch changes rate of decent.
Conclusion: Thrust controls speed and pitch controls rate of climb or decent.
Special cases
- Transition from level flight to climb:
Potential energy is added, additional thrust is required to deliver this additional energy requirement.
- Transition from level flight to decent:
Potential energy is used up to overcome drag, less thrust is required to maintain constant speed.