Advanced Shop Arithmetic for the Machinist

Cover Advanced Shop Arithmetic for the Machinist
Advanced Shop Arithmetic for the Machinist
Erik Oberg
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4O. Spherical Seg- ment and Zone Assume that the diameter C t = 3 inches, the diameter C, = 4 inches, and the height of the segment equals 1 inch, then the volume is 3X3= 3X4= 0. 5236 X 1 X I 1 (- I 2 I = (27 48 \ + + 1 1 = 0. 5236 X 1 X 19. 75 = 10. 3411 cubic inches. 4 4 / [If a plane parallel with the end faces and passing through the cen- ter of the sphere intersects the zone, consider the zone as two zones, one zone being on each side of the center. Calculate the volume of each, and add th...ese to find the total volume. ] CHAPTER X SPECIFIC GRAVITY 'AND WEIGHTS OP BAB STOCK AND CASTINGS The expression "specific gravity" indicates how many times a cer- tain volume of a material is heavier than an equal volume of water. If it is found, for example, that one cubic inch of steel weighs 7. 8 times as much as one cubic inch of pure water, the specific gravity of steel is 7. 8.
As the density of water differs slightly at different temperatures, it is usual to make comparisons on the basis that the water has a tem- perature of 62 degrees F.


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