tgrayson was great for these types of posts.
shdw might offer some insight, as well.
Well I don't think you will find tgray around these parts anymore, but I will give it a shot. Thanks for queuing me into this thread, I'd have missed it otherwise!
rframe Had it with longitudinal stability. However, the discussion of the tail's interaction in the process needs some serious tweaks.
JordanD It isn't embarrassing, it's typical. The reason we find ourselves in trouble explaining basics is because we forget to first make them basic! We try instead to take a complex system as is and make it simple through explanation. Instead, simplify the complex and then work off of your simplified model.
In this case, our simplified model is:
- Thrust line is through the CG.
- The wing and horizontal tail are not submersed in the slipstream.
- Lift will be exactly equal to weight.
These simplifications are paramount to this topic because, without them, power changes will introduce a pitching moment and/or change the effectiveness of our wings and a climb/descent will leave lift no longer equal to weight. Any of these will add complexity to what should be a simplified model.
Before we move on, let's touch on the purpose of the horizontal tail. The horizontal tail provides a tail down force equal to the rotational moment produced by the main wing. Remember that center of pressure shifts forward as we increase the main wings AOA? This means that for any specific airspeed we will have a specific main wing AOA that requires a specific quantity of tail down force.
Now let's look at what is happening, in our simplified model of course. Assume cruise at 80 percent power and 100 knots. Our 100 knots, as we just mentioned, gives us an exact AOA and exact requirement for tail down force; which we've trimmed for. Now we add full power, which remember is not causing any change to local flow velocity on any of our wings in our simplification.
What occurs at this point is the airplane chasing it's trimmed speed. If we could graph it, it would look like steps. Speed would increase/AOA decrease slightly (unnoticeable to our instruments) and the airplane would adjust as needed to keep the speed constant; in this case a progressively increasing upward pitch. This process would continue until our final pitch attitude is achieved, now climbing, and with the airspeed identical to cruise airspeed. This all happens, like rframe said, because of our longitudinal stability.
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While the above gives you what is happening on paper. Whether or not you can make sense of/apply it, and get your student to make sense of it, is questionable. What you can do though, is a really cool experimentation lesson. Here:
Lesson: Power and the power required curve
Time: 2-2.5 hours (1-1.5 flying)
Materials: Airplane, brain, paper, ruler, pen/pencil, and patience
Purpose: To plot and learn the meaning of a power required curve. To explore the use of power. To build precise flying skills through the entire flight speed envelope.
Prep: Set up a graph on your piece of paper. On the vertical line, mark power settings in RPM (or MP if using a complex aircraft) and make tick marks at half inch intervals. Mark each tick mark with a corresponding RPM starting with 1200 (~idle) as the first tick mark and up to 2400. On the bottom mark speed, half inch tick marks, and 10 knot intervals starting with stall speed as the first tick mark.
I.E. For a 172R with a clean stall speed of 44, I start my tick marks with 45-55-65-etc.
Fly: Now take each of your 10 knot interval airspeeds and go flying. Fly at each speed and record the power setting. Be sure you are trimmed hands off for a substantial period (5-10 seconds) before recording the power setting. When you're done return to the ground.
Graph: Take your graph and fill in the data you just recorded, connect the dots, and notice the shape of the power curve exactly follows what you've seen in books. Do note you can do this experiment with 5 knot intervals to have a more accurate graph, but it takes much longer.
Discuss and fly again: Once you have the graph plotted, discuss what you plotted, and how it compares with the graphs you see in the book. Talk about how each of those points on the graph represent the power setting required to fly level flight at a specific speed. Finally, come up with some experiments based on that information to test this 'power to control rate of climb' topic.
For instance, if it took 1600 RPM's to hold 75 knots, go up and trim 75 knots at 1800 RPM. Or 75 knots at 1300 RPM. Do this with a couple instances and then go up for another 30 minutes and fiddle around with it. Let the student experiment.
I believe thoughtful experiments like this, with good guided discussion from the CFI, will be far more beneficial to your student than simply rattling off what you read in the book. Instead, link the theory to the practice and help them understand how the theory can be applied. Good luck. Thoughts?