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The Official Table of Drops, formerly issued by the British Home Office, is a manual which is used to calculate the appropriate length of rope for long drop hangings. Following a series of failed hangings, including those of John Babbacombe Lee , a committee chaired by Henry Bruce, 1st Baron Aberdare was formed in 1886 to discover and report on ...
Can I tie a knot on a foot-long rope that is one inch thick? In terms of ropelength, this asks if there is a knot with ropelength 12 {\displaystyle 12} . The answer is no: an argument using quadrisecants shows that the ropelength of any nontrivial knot has to be at least 15.66 {\displaystyle 15.66} . [ 1 ]
For example, each additional 1000 feet adds 2 × π × 1000 ≈ 6,283 feet (1.0340 nautical miles) around the whole Earth. In other words, each kilometre altitude increases the distance by 15.7 cm, per kilometre travelled. The higher efficiency far exceeds the negligible distance added.
The climber will fall about the same height h in both cases, but they will be subjected to a greater force at position 1, due to the greater fall factor.. In lead climbing using a dynamic rope, the fall factor (f) is the ratio of the height (h) a climber falls before the climber's rope begins to stretch and the rope length (L) available to absorb the energy of the fall,
A cable's length (often "cable length" or just "cable") is simply the standard length in which cables came, which by 1555 had settled to around 100 fathoms (600 ft; 180 m) or 1 ⁄ 10 nautical mile (0.19 km; 0.12 mi). [1] Traditionally rope is made on long ropewalks, the length of which determines the maximum length of rope it is possible to make.
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So, the desired area A is A 1 + (A 2 − A 3 + A 4) · 2. The area(s) required to be computed are between two quadratic curves, and will necessarily be an integral or difference of integrals. The primary parameters of the problem are , the tether length defined to be 160yds, and , the radius
Ells are used for measuring the length of rope in J. R. R. Tolkien's The Lord of the Rings. [15] Since Sam declares that 30 elles are "about" 18 fathoms (108 feet), he seems to be using the 45-inch English ell, which would work out to 112 feet. In the epic poem Sir Gawain and the Green Knight, the Green Knight's axe-head was an ell (45 inches ...