Practical mathematics for home study; being the essentials of arithmetic, geometry, algebra and trigonometry - Softcover

Palmer, Claude Irwin

 
9781236180575: Practical mathematics for home study; being the essentials of arithmetic, geometry, algebra and trigonometry

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Synopsis

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1919 Excerpt: ... for bolts, a nut 2 in. square and li in. thick, with a hole in. in diameter, has a given weight of 1.042 lb. Use wrought iron and find this weight. 12. Find the length of steel wire in a coil, if its diameter is 0.025 in. and its weight is 50 lb. (Use 1 cu. in. weighs 0.29 lb.) Ans. 29,270 ft. nearly. 13. A cylindrical cistern is 6 ft. in diameter. Find the depth of the water when containing 10 barrels. Ans. 17.87 in. 14. A nugget of gold is dropped into a cylinder of water and raises the surface of the water 1J in. If the cylinder is 2 in. in diameter and 25 erains of gold are worth $1, find the value of the nugget. Ans. $767. 16. In a table giving size, etc., of wrought-iron washers, a washer 3J in. in diameter with a hole 1J in. in diameter is A in. thick. Find the number of these in a keg of 200 lb. Am. 582. 16. Find the per cent of error in the following Fig. 154. rule which applies to round bars, (a) for wrought iron, (b) for cast iron. Multiply the square of the diameter in inches by the length in feet, and that product by 2.6. The product will be the weight in pounds nearly. Am. (a) 1.5--% too small; (b) 6.1 + % too large. 17. A conduit made of concrete has a cross section as shown in Fig. 154. How many cubic yards of concrete are used in making 500 yd. of this conduit? Ans. 1113.4 yds. 18. In a table giving weights and areas in cross section of steel bars, a ound steel bar f in. in diameter has its area given as 0.1104 in.2 and weight 0.376 lb. per linear foot. Verify these results if steel weighs 489.6 lb. per cubic foot. 19. A water tank in a Pullman car has a vertical cross section as shown in Fig. 155, and a length of 52 in. Find its capacity in gallons. The arc is a part of a circle. Ans. 68.3 gal. 20. A rod of copper 8 in. long and 1 in. in ...

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