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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 ...
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.
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 ]
The Romans used the schoenus as an alternative name for the half-jugerum formed by a square with sides of 120 Roman feet. In Somerset, the rope could also double as a measure of area equivalent to 20 feet by 1 foot. Walls in Somerset were formerly sold "per rope" of 20 sq ft. [1] [2] [4]
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.
Knotted cords were used by rope stretchers, royal surveyors who measured out the sides of fields (Egyptian 3ht). The knotted cords (Egyptian ht) were 100 royal cubits in length, with a knot every hayt or 10 royal cubits. The rope stretchers stretched the rope in order to take the sag out, as well as to keep the measures uniform.
Just as the area below a line is proportional to the length of the line between boundaries, and the area of a circular sector is a ratio of the arc length (=) of the sector (=), the area between an involute and its bounding circle is also proportional to the involute's arc length =: = = for < <.
The rod is useful as a unit of length because integer multiples of it can form one acre of square measure (area). The 'perfect acre' [2] is a rectangular area of 43,560 square feet, bounded by sides 660 feet (a furlong) long and 66 feet (a chain) wide (220 yards by 22 yards) or, equivalently, 40 rods by 4 rods. An acre is therefore 160 square ...