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The top of descent is usually calculated by an on-board flight management system, and is designed to provide the most economical descent to approach altitude, or to meet some other objective (fastest descent, greatest range, etc.). The top of descent may be calculated manually as long as distance, air speed, and current altitude are known. This ...
In Europe and the U.S. percentage "grade" is the most commonly used figure for describing slopes. as a per mille figure (denoted with the symbol ‰), the formula for which is which could also be expressed as the tangent of the angle of inclination times 1000. This is commonly used in Europe to denote the incline of a railway.
So, for example, if a route is 20 kilometres (12 mi) with 1600 metres of climb (as is the case on leg 1 of the Bob Graham Round, Keswick to Threlkeld), the equivalent flat distance of this route is 20+(1.6×8)=32.8 kilometres (20.4 mi). Assuming an individual can maintain a speed on the flat of 5 km/h, the route will take 6 hours and 34 minutes.
In aviation, the rule of three or "3:1 rule of descent" is a rule of thumb that 3 nautical miles (5.6 km) of travel should be allowed for every 1,000 feet (300 m) of descent. [ 1 ] [ 2 ] For example, a descent from flight level 350 would require approximately 35x3=105 nautical miles.
The curve of fastest descent is not a straight or polygonal line (blue) but a cycloid (red).. In physics and mathematics, a brachistochrone curve (from Ancient Greek βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), [1] or curve of fastest descent, is the one lying on the plane between a point A and a lower point B, where B is not directly below A, on which a bead slides ...
The top of climb may be calculated manually with considerable effort. [ 1 ] Alternatively, when manual planning and monitoring a VFR flight, TOC is an elegant and efficient way for a pilot to eliminate all the vaguery and variability of departing any airport (the turns assigned, changes of runway the pilot cannot control).
Rebitsch-Spiegl (300-meters, 8-pitches) – Fleischbank Wilde Kaiser (AUT) – 1946 – Multi-pitch free climb at UIAA Grade VII by Mathias Rebitsch and Sepp Spiegl. [226] Nordverschneidung (800-meters, 20-pitches) – Lalidererspitze Karwendel (AUT) – 1947 – Big wall free climb at UIAA Grade VII by Mathias Rebitsch and Franz Lorenz. [226]
Abseiling (/ ˈ æ b s eɪ l / AB-sayl or / ˈ ɑː p z aɪ l / AHP-zyle; from German abseilen 'to rope down'), also known as rappelling (/ ˈ r æ p ɛ l / RAP-pell or / r ə ˈ p ɛ l / rə-PELL; from French rappeler 'to recall, to pull through'), is the controlled descent of a steep slope, such as a rock face, by moving down a rope.
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