Find the lengths of chords when the number of divisions of a circumference and the radii are as follows: 30 and 4; 14 and 2½; 18 and 3½. It is easier to remember a brief formula than a long rule, and it is, therefore, of greater value and convenience. As an illustration of this rule, if A = BCD, then A/ (BC) = D or according to the common arrangement D = A/ (BC).

What is the length of the arc of contact of a belt over a pulley 2 feet, 3 inches in diameter if the arc of contact is 215 degrees?An independent term preceded by a plus sign (+) may be transposed to the other side of the equals sign (=) if the plus sign is changed to a minus sign (-). Thus AB means A × B, and the formula can also be written If A = 3, and B = 5, then: AB = A × B = 3 × 5 = 15. Manufacturing and Materials: Additional information on utilizing today's plastics, powder metallurgy standard and tool steels, manufacturing stresses, and preventing corrosion. To illustrate by a simple example, the formula for determining the speed ( s) of a driven pulley, when its diameter ( d) and the diameter ( D) and speed ( S) of the driving pulley are known, is as follows: s = ( S × D) / d.

Find the areas, lengths, and heights of chords of the following segments: (a) radius 2 inches, angle 45 degrees; (b) radius 6 inches, angle 27 degrees. The Machinery’s Handbook 31 Digital Edition includes the complete contents of the print edition, plus Digital Edition-only material, added indexes, and the complete contents of the Machinery’s Handbook Guide. The use of letters in formulas, in place of the actual numbers, simplifies the solution of problems and makes it possible to condense into small space the information that otherwise would be imparted by long and cumbersome rules.The detailed tables of contents located at the beginning of each section have been expanded and fine-tuned to make finding topics easier and faster. A term that divides all the other terms on one side of the equals sign may be moved to the other side if it is made to multiply all the terms on that side.