Winslow's Comprehensive mathematics : being an extensive cabinet of numerical, arithmetical, and mathematical facts, tables, data, formulas, and practical . and the wheel 08 ; required theweight that a force of 30 lbs. applied to the winch will raise. 68 -J- 8 = 8^ (8£ to 1) velocity of pinion to wheel, and15 X -=- 3 = lbs. exertive force, or force to 1 of appliedpower — gained at the expense of space, lbs. X 30 lbs. (applied power) = 1275 lbs. effective power. Ans. Example. — The exertive force, or effect to power, of a crane, isto be as 42| to 1, the radius of the w
Winslow's Comprehensive mathematics : being an extensive cabinet of numerical, arithmetical, and mathematical facts, tables, data, formulas, and practical . and the wheel 08 ; required theweight that a force of 30 lbs. applied to the winch will raise. 68 -J- 8 = 8^ (8£ to 1) velocity of pinion to wheel, and15 X -=- 3 = lbs. exertive force, or force to 1 of appliedpower — gained at the expense of space, lbs. X 30 lbs. (applied power) = 1275 lbs. effective power. Ans. Example. — The exertive force, or effect to power, of a crane, isto be as 42| to 1, the radius of the wheel to that of the pinion as 8£to 1, and the throw of the winch— its length — the radius of the cir-cle which it describes — is to be l\ feet; what must be the diameterof the barrel 1 X 125 = -f- = .25 X 2 = .5 ft. or 6 in. Ans. Note. — By additional wheels and pinions, as in the system of pulleys or block andtackle, which see, the exertive force of a crane may be increased to almost any conceiva-ble extent; but always, as with the block and tackle, and as shown in the above , at a relative expense to space. THE A single pulley, fixed and turning on its own axis, affords no me-chanical advantage. It serves but to change the direction of thepower. In the common system of pulleys, or block and tackle, the advan-tage is as the number of ropes engaged in supporting the lower orrising block, to 1 of applied force. Rule. — 1. Divide the given weight by the number of cords lead-ing to, from, or attached to, the lower block, and the quotient is therequisite power to produce an equilibrium. Rule. — 2. Multiply the given power by the number of cords lead-ing to, from, or attached to the lower block, and the product is theweight that may be raised. Rule. — 3. Divide the weight to be raised by the power to beapplied, and the quotient is the requisite number of cords that mustconnect with the lower block. Example. —The low er, runninj
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Keywords: ., bookcentury1800, bookdecade1870, booksubjectmathematics, bookyear
