\fdO'^ - Old Forge Coal Mines

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186 ELEMENTARY MECHANICS. (452) (a) See Fig. 42. 475 + (475 X .24) = 589 lb. 475 -7-589 = 8064 = 80. 64^. Ans. Ans. Fig. 41. (d) . m. Fig. 42. (453) (a) By formula 23, U = FS = 6 X 25 = 150 foct-pounds. Ans. (^) 4^"^-=S-=^"^^"- Using formula 24, Power = -^ = ^= 3,600 ft. -lb. per min. Ans.
HYDROMECHANICS. (QUESTIONS 454-503.) (454) The area of the surface of the sphere X 3.1416= 1,256.64 sq. in. (See rule, Art. 817.) is 20 X 20 The specific gravity of sea water is 1.026. (See tables of Specific Gravity, ) The pressure on the sphere per square in. in cross- inch is the weight of a column of wat^r 1 sq. section and 2 miles long. The total pressure is, therefore, lb. Ans. 1,256.64 X 5,280 X 2 X .434 X 1.026 =-5,908,971 (455) 125 — 83.5 = 41.5 lb. = loss of weight in water = weight of a volume of water equal to the volume of the sphere. (See Art. 987.) 1 cu. in. of water weighs .03617 lb.; hence, 41.5 lb. of water must contain 41.5 h- .03617 = 1,147.4 cu. in. = volume of the sphere. Ans. Note.— It is evident that the specific gravity of the sphere need not be taken into account. /^=r^\ n 225,000 ^c, k c. (456) Q = gQ^gQ = 62.5 cu. ft. per min. Substituting the values given in formula 51, ^ = 1.229 / ^'^»°^"^-^' = 10.38'+. Substituting this value of d in formula 49, ^»'= 24.51X62.5 16.38- ^ ^--_ ^^•^^^^- The value of f (from the table) corresponding to v^ = 5.7095 is .0216, using but four decimal places. Hence, applying formula 52, j^ 2.57 < /^^^ X 2,800 + i X 16.38)62.5- ^ ^^, ^^^_ 26
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( W v. 5 Copyright, 1897, by The Co
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Arithmetic, - CONTENTS Algebra, Log
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i ARITHMETIC. of tens. 1 + 8 + 7 +
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4 ARITHMETIC. and the difference (4
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ARITHMETIC. (c) 217 Multiply any tw
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8 ARITHMETIC. 72 in the dividend an
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10 ARITHMETIC. (70 X 50 X 24 X 20).
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12 ARITHMETIC, The 5 in the dividen
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14 ARITHMETIC. (22) (a) 576) 589824
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16 ARITHMETIC. (33) To reduce a fra
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18 ARITHMETIC. 3 3 (e) 15-r-7-43-=
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20 ARITHMETIC. (41) ,9| + 50i + 41+
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22 ARITHMETIC. (45) The man evident
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24 ARITHMETIC. • u s o e 3 2 o 93
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26 ARITHMETIC. {b) Here again the p
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28 ARITHMETIC. 64) 1.000000(. 01562
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30 ARITHMETIC. (66) In subtraction
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38 ARITHMETIC. (6) .875 — 5-=? Re
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84 ARITHMETIC. {c) First perform th
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36 ARITHMETIC. Reducing 387 387 to
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38 ARITHMETIC. nominator of the fra
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40 ARITHMETIC. (d) Base = percentag
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42 ARITHMETIC. Another method of so
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44 ARITHMETIC. (89) Here we have gi
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46 ARITHMETIC. 24 ) 13750 gr. 20 )
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48 ARITHMETIC. (98) Reduce the grai
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50 ARITHMETIC. contained times in 3
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gal.
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54 ARITHMETIC. (108) In multiplicat
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56 ARITHMETIC. Since there are 24 g
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58 ARITHMETIC. There are 100 lb. in
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60 ARITHMETIC. 62 is contained in 1
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63 ARITHMETIC. (121) (a) 106' = 106
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64 ARITHMETIC. (^) .4044* = .4044 X
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6G ARITHMETIC. Since there are 2 de
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68 ARITHMETIC. (128) {a) .0133' =.0
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70 ARITHMETIC (130^ (a) 1 1 20 _8 2
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72 ARITHMETIC. in the root. Write i
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74 ARITHMETIC. (^) 9 -/QO.OO'OO'OO
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76 ARITHMETIC. correction. This, mu
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78 ARITHMETIC. found by division sh
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80 ARITHMETIC. (137) {a) 1 1 f .0 6
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82 ARITHMETIC. (138^ {a) In this ex
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84 ARITHMETIC. (^)
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86 ARITHMETIC. {b) f 6 = VTa 2 4/G.
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88 8 8 ARITHMETIC.
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90 ARITHMETIC. 40,000 144)40000.0(2
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92 ARITHMETIC. (163) 2 ft. 5 in. =
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94 ARITHMETIC. (164) Taking the tim
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96 ALGEBRA. (171) See Arts. 352 and
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98 ALGEBRA. In this case, where we
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100 ALGEBRA. By Art. 482, the signs
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102 ALGEBRA. (189) Applying the met
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104 ALGEBRA. (196) {a) ^+_;/ + ^-(^
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106 ALGEBRA- (201 ) The subtraction
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108 ALGEBRA. Canceling the factors
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110 ALGEBRA. (208) (a) Writing the
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112 ALGEBRA. 20j^(4^+5)-12.r(3:r-7)
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ALGEBRA. (QUESTIONS 218-257.) (218)
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ALGEBRA. 117 Clearing of fractions,
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ALGEBRA. 119 Transposing, — A:X*
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Completing the square, ALGEBRA. 131
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Extracting ALGEBRA. 123
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(d) Completing the square, Extracti
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ALGEBRA. 127 (238) (a) i/| by Art.
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(242) ALGEBRA. 139 Let X = the whol
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(246) Then,-^ X ALGEBRA. 131 Let X
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ALGEBRA. 133 y+5-{x-o) = 6. (1) But
Page 147 and 148: ALGEBRA. 136 (266) Let X — the nu
Page 149 and 150: LOGARITHMS. (QUESTIONS 258-272.) (2
Page 151 and 152: l^OGARITHMS. 139 .6602 -3 — 1.980
Page 153 and 154: LOGARITHMS. 141 {l>) .76'"._ Log .7
Page 155: LOGARITHMS. 143 (271) Substituting
Page 158 and 159: 140 GEOMETRY AND TRIGONOMETRY. in t
Page 160 and 161: 148 GEOMETRY AND TRIGONOMETRY. 3 (2
Page 162 and 163: 150 GEOMETRY AND TRIGONOMETRY. (302
Page 166 and 167: 154 GEOMETRY AND TRIGONOMETRY. draw
Page 170 and 171: 158 GEOMETRY AND TRIGONOMETRY. {d)
Page 176 and 177: 1G4 GEOMETRY AND TRIGONOMETRY. (354
Page 178 and 179: 166 ELEMENTARY MECHANICS. per min.
Page 180 and 181: 168 ELEMENTARY MECHANICS. replaced,
Page 182 and 183: 170 ELEMENTARY MECHANICS. (384) (a)
Page 184 and 185: 172 ELEMENTARY MECHANICS. (389) See
Page 186 and 187: 174 ELEMENTARY MECHANICS. (398) 1 h
Page 188 and 189: 176 ELEMENTARY MECHANICS (412) Use
Page 192 and 193: 180 ELEMENTARY MECHANICS. a distanc
Page 196 and 197: 184 ELEMENTARY MECHANICS. (d) Using
Page 200 and 201: 188 HYDROMECHANICS. (457) (a) Area
Page 202 and 203: 190 HYDROMECHANICS. Pressure due to
Page 204 and 205: 192 HYDROMECHANICS. (47 1 ) (a) 36
Page 206 and 207: 194 HYDROMECHANICS. 5' X 7854 (479)
Page 208 and 209: 196 HYDROMECHANICS. (d) See Art. 10
Page 210 and 211: 198 HYDROMECHANICS. Pressure per sq
Page 212 and 213: aOO HYDROMECHANICS. For z;„ = 4,/
Page 214 and 215: 202 PNEUMATICS. (509) Substituting
Page 216 and 217: 204 PNEUMATICS. (519) 8.47 = origin
Page 218 and 219: 206 PNEUMATICS. (537) (a) 30 — 17
Page 220 and 221: 208 PNE-aMATlCS. (548) CO' — 50'
Page 222 and 223: 210 STRENGTH OF MATERIALS. P- p-^^.
Page 224 and 225: 212 STRENGTH OF MATERIALS. Since 40
Page 226 and 227: 214 STRENGTH OF MATERIALS. drawn. P
Page 228 and 229: 21G STRENGTH OF MATERIALS. c \d of
Page 230 and 231: 218 STRENGTH OF MATERIALS. n o. I//
Page 232 and 233: 220 STRENGTH OF MATERIALS. Substitu
Page 234 and 235: 222 STRENGTH OF MATERIALS. (589) Su
Page 236 and 237: 224 STRENGTH OF MATERIALS. (597) {a
Page 238 and 239: 226 STRENGTH OF MATERIALS. (d) In t
Page 240 and 241: 228 STRENGTH OF MATERIALS. (604) Us
Page 242 and 243: 230 STRENGTH OP MATERIALS. (609) Th
Page 244 and 245: 232 STRENGTH OF MATERIALS. moments
Page 246 and 247: 234 SURVEYING. adjacent sides of th
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236 SURVEYING. (622) 1st. A B in Fi
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238 SURVEYING. true bearing IS the
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240 SURVEYING. A B, as the bearing
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Un SURVEYING. an angle of 15° 10'
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244 SURVEYING. in dotted lines. In
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246 SURVEYING. table of Radii and D
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248 SURVEYING. ^^^ = 1.875'. The de
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. (690) 250 SURVEYING. sight to the
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252 SURVEYING. and including that a
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254 SURVEYING. horizontal lines 1 f
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(706) LAND SURVEYING (QUESTIONS 706
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LAND SURVEYING. 259 ture of A B is
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LAND SURVEYING. 261 -{-, in the col
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LAND SURVEYING. 263 is +8.86 chains
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a a *• o « .i Q a V Q + • hJ *
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LAND SURVEYING. 2G7
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RAILROAD LOCATION. (756) (QUESTIONS
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RAILROAD LOCATION. 271 second curve
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RAILROAD LOCATION. 273 in which;!'
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RAILROAD LOCATION. 275 Whence, we h
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RAILROAD LOCATION. 277 4.0827 ft.,
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point so determined by RAILROAD LOC
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282 RAILROAD CONSTRUCTION. (818) Th
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884 RAILROAD CONSTRUCTION. (833) Ap
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286 RAILROAD CONSTRUCTION. (859) Fi
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288 RAILROAD CONSTRUCTION. (864) (8
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RAILROAD CONSTRUCTION. (QUESTIONS 8
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RAILROAD CONSTRUCTION. 293 (896) Se
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RAILROAD CONSTRUCTION. 295 (a) The
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RAILROAD CONSTRUCTION. 207 (939) Se
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300 TRACK WORK. (962) (963) (964) (
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302 TRACK WORK. (994) See Art. 1687
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304 TRACK WORK. (1008) 8 ft. G in.
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306 RAILROAD STRUCTURES. (1039) See
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308 RAILROAD STRUCTURES. (1060) Fro
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3," ^ >;> :3 3>32> ^ >:> J> Oi?^ :>
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UNIVERSrTY OF ILLINOIS-URBANA 3 011
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