Gliding distance of an arbitrary object

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Discussion Overview

The discussion centers on the gliding distance of an arbitrary object released from a height of 1 km, with a focus on the glide ratios of modern sailplanes and the factors influencing their performance. Participants explore theoretical aspects, technical specifications, and design considerations related to gliding.

Discussion Character

  • Technical explanation
  • Exploratory
  • Debate/contested

Main Points Raised

  • One participant poses a question about the maximum horizontal distance an arbitrary object can travel when released from a height of 1 km.
  • Another participant mentions that modern sailplanes have glide ratios ranging from 20 to 30 to 1.
  • A subsequent reply cites that high-end cross-country sailplanes can achieve glide ratios of up to 60 to 1, providing links to specific models.
  • Participants discuss the influence of wingspan and aspect ratio on glide performance, noting that larger wingspans and high aspect ratios contribute to better lift-to-drag ratios.
  • One participant highlights that the Nimbus 4 glider achieves a glide ratio of 60 to 1 at a speed of 68 mph, emphasizing the relationship between speed and range during descent.
  • A new participant inquires about the mathematical relationship between the wingspan and total length of a glider, suggesting a range of 30 to 50% but seeking a more precise expression.

Areas of Agreement / Disagreement

Participants express varying views on glide ratios and the factors affecting them, with no consensus reached on the maximum horizontal distance for an arbitrary object or the specific mathematical relationship for wingspan and length.

Contextual Notes

Limitations include the lack of specific assumptions about the object's shape and mass, as well as the absence of detailed mathematical derivations for glide ratios and design parameters.

Loren Booda
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Let an arbitrary object be released at a height of 1 km above a terrestrial plain. Assume the air is still. What is the maximum horizontal distance such an object can travel?
 
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Modern sailplanes have a glide ratio of 20-30 to 1.
 
These high end cross-country type sailplanes have glide ratios of 60 to 1:

http://www.sailplanedirectory.com/PlaneDetails.cfm?planeID=28

http://www.sailplanedirectory.com/PlaneDetails.cfm?next=118

http://www.sailplanedirectory.com/PlaneDetails.cfm?next=274

http://www.sailplanedirectory.com/PlaneDetails.cfm?next=277

Wiki link to Nimbus 4
Schempp-Hirth Nimbus 4 Wiki.htm

Official site for Nimbus 4, with photos:
http://www.schempp-hirth.com/index.php?id=nimbus-4dm0&L=1

The ETA is a motorized prototype, with a 101 foot wingspan, quite a few photos here:
http://www.eta-aircraft.de

These are specialized gliders with large wingspans, all over 80 feet. Typical glide ratios of more typtical modern gliders range from 40 to 50 to 1, while racing and aerobatic gliders are a bit less, around 35 or so.
 
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It's mostly due to huge wingspans and high aspect ratios (long thin wings) which accelerate more air but at a lower speed than smaller wings, so the same momentum change (f = ma), but less kinetic energy change (v^2 factor), so less work done, less energy required, and therefore better lift to drag ratios. Note the Nimbus 4 has a 60 to 1 glide ratio at 68mph, so it's also covering range at a descent pace. The large narrow wingspans are possible because of the strength of composite materials.

Note there aren't a lot of places to launch or land a "open class" glider with an 80+ foot wingspan. 15 meter (49 foot) class gliders are more common and these gliders have L/D in the 40 to 50 range.
 
Sailplane design

Hello everyone!

I'll be very glad if anyone can help me to find any information about the relation between the wing span and total length of a glider or a sailplane, I have found that this value is between 30 to 50% but there are any mathematical expression to find this value?

Thank you very much!
 

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