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#1
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Glide distance vs. weight
During a review of the V-speeds for an airplane I've never flown before, my
instructor asked me about glide speed vs. weight, and total glide distance. I got the glide speed vs. weight part right, but the distance part seemed counterintuitive - that the total distance covered (by flying at the correct best glide speed for the weight) would be the same, regardless of the weight. Can anyone explain this so that it makes sense? |
#2
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news.mcgraw-hill.com wrote:
I got the glide speed vs. weight part right, but the distance part seemed counterintuitive - that the total distance covered (by flying at the correct best glide speed for the weight) would be the same, regardless of the weight. Can anyone explain this so that it makes sense? Glide distance is determined by the glide ratio (L/D ratio for the airplane as a whole) and the altitude. If you're 1 mile up, and your L/D is 10, you can glide 10 miles. Since the best L/D ratio for an aircraft doesn't change with weight (although the SPEED to fly at best L/D goes up with increasing weight), the distance you can fly isn't dependent upon weight. The heavier you are, the faster you'll get there, but where you get TO is the same :-). Howzzat? -- Marc J. Zeitlin http://marc.zeitlin.home.comcast.net/ http://www.cozybuilders.org/ Copyright (c) 2005 |
#3
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"news.mcgraw-hill.com" wrote in message ... During a review of the V-speeds for an airplane I've never flown before, my instructor asked me about glide speed vs. weight, and total glide distance. I got the glide speed vs. weight part right, but the distance part seemed counterintuitive - that the total distance covered (by flying at the correct best glide speed for the weight) would be the same, regardless of the weight. Can anyone explain this so that it makes sense? Lift/Drag = Velocity/sink rate = Glide distance/Altitude = glide ratio The angle of descent doesn't change. As the weight increases, the speed also increases to keep the L/Dmax the same. Looking at it another way, more weight means a higher sink rate. To maintain the glide ratio of the lower weight, velocity must increase. I just went over this working on my commercial. It doesn't feel right unless you remember that velocity is allowed to change and the glide ratio remains constant. |
#4
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On Sat, 26 Feb 2005 14:48:17 -0500, "news.mcgraw-hill.com"
wrote in :: During a review of the V-speeds for an airplane I've never flown before, my instructor asked me about glide speed vs. weight, and total glide distance. I got the glide speed vs. weight part right, but the distance part seemed counterintuitive - that the total distance covered (by flying at the correct best glide speed for the weight) would be the same, regardless of the weight. Can anyone explain this so that it makes sense? Here's a clue: http://www.av8n.com/how/htm/power.ht...weight-effects The short answer is that the L/D is virtually unaffected by weight. For a more technical explanation, I've crossposted to rec.aviation.soaring. |
#5
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Glide distance is determined by the glide ratio (L/D ratio for the airplane as a whole) and the altitude. If you're 1 mile up, and your L/D is 10, you can glide 10 miles. Since the best L/D ratio for an aircraft doesn't change with weight (although the SPEED to fly at best L/D goes up with increasing weight), the distance you can fly isn't dependent upon weight. The heavier you are, the faster you'll get there, but where you get TO is the same :-). Howzzat? That's what they do in gliders. Put on 400 pounds or more of water when conditions are strong and dump it when it gets weak or before landing. Glide ratio is a function of the design and doesn't change with weight so with no lift, the glide range is the same but you'll get there faster. Since glider records are all speed over distance, that's what you want. BTW the Boeing 707 glide ratio is 19 to 1, about the same as an old Switzer glider. The best 25 meter glass ships are around 53 to 1. |
#6
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Don Hammer wrote:
BTW the Boeing 707 glide ratio is 19 to 1, about the same as an old Switzer glider. The best 25 meter glass ships are around 53 to 1. Make that 60 (Nimbus 4, ASH 25). The new ETA project scratches even 70. Most impressive. Stefan |
#7
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("Stefan" wrote)
Make that 60 (Nimbus 4, ASH 25). The new ETA project scratches even 70. Most impressive. http://www.leichtwerk.de/eta/en/gallery/photos.html Photos of the ETA sailplane and its (31 m) 101 ft wingspan. Montblack |
#8
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"news.mcgraw-hill.com" wrote: I got the glide speed vs. weight part right, but the distance part seemed counterintuitive It's not counterintuitive when you remember that extra weight at altitude is extra potential energy. The energy that was used to lift the weight to altitude can be recovered in the descent. -- Dan C172RG at BFM |
#9
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When you add weight to an aircraft ... all points on the polar shift to
the right. i.e. minimum stall increases ... the speed for minimum sink increases ... the speed for best L/D increases ... all almost the same magnitude at the speeds we typically fly at. So, if your L/D was 10:1 at 60 MPH when empty ... when loaded to gross it could be 10:1 .... but at 75 mph. So, if you were gliding from a mile up in a no wind situation ... you would go 10 miles distance in both cases ... but, of course, at a higher speed and in less time if you were heavy. Larry Dighera wrote: On Sat, 26 Feb 2005 14:48:17 -0500, "news.mcgraw-hill.com" wrote in :: During a review of the V-speeds for an airplane I've never flown before, my instructor asked me about glide speed vs. weight, and total glide distance. I got the glide speed vs. weight part right, but the distance part seemed counterintuitive - that the total distance covered (by flying at the correct best glide speed for the weight) would be the same, regardless of the weight. Can anyone explain this so that it makes sense? Here's a clue: http://www.av8n.com/how/htm/power.ht...weight-effects The short answer is that the L/D is virtually unaffected by weight. For a more technical explanation, I've crossposted to rec.aviation.soaring. |
#10
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On Sat, 26 Feb 2005 17:11:46 -0600, Don Hammer wrote
in :: Glide distance is determined by the glide ratio (L/D ratio for the airplane as a whole) and the altitude. If you're 1 mile up, and your L/D is 10, you can glide 10 miles. Since the best L/D ratio for an aircraft doesn't change with weight (although the SPEED to fly at best L/D goes up with increasing weight), the distance you can fly isn't dependent upon weight. The heavier you are, the faster you'll get there, but where you get TO is the same :-). Howzzat? That's what they do in gliders. Put on 400 pounds or more of water when conditions are strong and dump it when it gets weak or before landing. Glide ratio is a function of the design and doesn't change with weight While your statement above is generally accurate, it's not absolutely true (as was pointed out to me by a glider pilot in e-mail). Here's some empirical evidence of L/D changing with a change in weight (note the right hand polar graph under 'Technical data'): http://www.dianasailplanes.com/szd55.html According to the e-mail I received, this weight induced change in L/D is apparently more significant on aircraft with wing aspect ratios (length/chord) from 22-26, so the OP may not find it of too much help in correcting his instructor's assertion depending on the particular aircraft they were discussing. |
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