You're just pulling our leg(s), right?
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Climb performance is based on excess thrust. Excess thrust is used to create lift. If the headwind is providing you with X amount of lift, there is more excess thrust available. This extra thrust increases your speed. To maintain climb speed with a headwind you must increase the angle of attack. If you increase your angle of attack while maintaining climb speed you increase your rate of climb.
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The only time that a headwind provides additional lift is when you are in an increasing headwind situation. A steady-state headwind or tailwind makes no difference. Power + attitude = performance, i.e. 75% power and 10 degrees pitch-up will give the exact same climb rate whether you are traveling upwind or downwind.
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Several of you compared two aircraft climbing at the same IAS, one with a headwind, the other with a tailwind. Then stated that the one with a headwind reached cruise altitude in a shorter distance. If they are traveling at the same IAS, to the same altitude, the one with a headwind gets there first. First=Less time because of the increased rate of climb.
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No, the amount of time will be identical. The distance traveled over the ground will be different, but the climb rate (altitide change per unit of time) remains the same for either direction.
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Conversely, we glide the plane into the wind while doing emergency landing practice to decreases our rate of descent, decreases GS and decreases the rollout.
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Yes, gliding into the wind will decrease GS and rollout, but it does not decrease the rate of descent. If it did, we could fly a C152 into a fifty knot headwind, engine shut down, and stay up forever.
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If you are cruising steady state and trimmed hands off, with no wind, and suddenly get a 50kt gust, which way will the airplane pitch initially? Up. This is an example of an increase in rate of climb.
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Agreed, but this is only due to the inertia of the airplane attempting to maintain the same airspeed in a changing condition. Does not apply to a steady-state wind condition.