Angles and Tapers Tapers per Foot and Corresponding Angles Machinery's Handbook, 31st Edition
698
Taper per Foot
Taper per Foot
Included Angle
Angle with Center Line
Included Angle
Angle with Center Line
0 ° 4 ′ 29 ″ 0 ° 2 ′ 14 ″ 1 7 ⁄ 8 0 8570 429 1 15 ⁄ 16
1 ⁄ 64 1 ⁄ 32 1 ⁄ 16 3 ⁄ 32
0.074604 ° 0.149208 °
8.934318 ° 9.230863 ° 9.527283
8 ° 56 ′ 4 ″
4 ° 28 ′ 2 ″
91351 43656 93138 44549
0.298415 017540 857 2 0.447621 0 26 51 0 13 26 2 1 ⁄ 8 0.596826 0 35 49 0 17 54 2 1 ⁄ 4 0.746028 0 44 46 0 22 23 2 3 ⁄ 8 0.895228 0 53 43 0 26 51 2 1 ⁄ 2 1.044425 1 24003120 2 5 ⁄ 8 1.193619 1 11 37 0 35 49 2 3 ⁄ 4 1.342808 1 20 34 0 40 17 2 7 ⁄ 8 1.491993 1 29 31 0 44 46 3 1.641173 1 38 28 0 49 14 3 1 ⁄ 8 1.790347 1 47 25 0 53 43 3 1 ⁄ 4 1.939516 1 56 22 0 58 11 3 3 ⁄ 8 2.088677 2 5191 240 3 1 ⁄ 2 2.237832 214161 7 8 3 5 ⁄ 8 2.386979 2 23 13 1 11 37 3 3 ⁄ 4 2.536118 23210116 5 3 7 ⁄ 8 2.685248 241 712033 4 2.834369 250 4125 2 4 1 ⁄ 8 2.983481 259 112930 4 1 ⁄ 4 3.132582 3 75713359 4 3 ⁄ 8 3.281673 3 16 54 1 38 27 4 1 ⁄ 2 3.430753 3 25 51 1 42 55 4 5 ⁄ 8 3.579821 3 34 47 1 47 24 4 3 ⁄ 4 3.728877 3 43 44 1 51 52 4 7 ⁄ 8 3.877921 3 52 41 1 56 20 5 4.026951 4 1372 049 5 1 ⁄ 8 4.175968 410332 517 5 1 ⁄ 4 4.324970 419302 945 5 3 ⁄ 8 4.473958 4 28 26 2 14 13 5 1 ⁄ 2 4.622931 4 37 23 2 18 41 5 5 ⁄ 8 4.771888 44619223 9 5 3 ⁄ 4 5.069753 5 411232 6 5 7 ⁄ 8 5.367550 522 3241 2 6 5.665275 5 39 55 2 49 57 6 1 ⁄ 8 5.962922 5 57 47 2 58 53 6 1 ⁄ 4 6.260490 615383 749 6 3 ⁄ 8 6.557973 6 33 29 3 16 44 6 1 ⁄ 2 6.855367 6 51 19 3 25 40 6 5 ⁄ 8 7.152669 7 9 10 3 34 35 6 3 ⁄ 4 7.449874 727 034330 6 7 ⁄ 8 7.746979 7 44 49 3 52 25 7 8.043980 8 2384 119 7 1 ⁄ 8 8.340873 8 20 27 4 10 14 7 1 ⁄ 4 8.637654 83816419 8 7 3 ⁄ 8
10.11973810 711 5 336 10.711650104242 52121 11.302990 111811 539 5 11.893726115337 55649 12.483829 12 29 2 6 1431 13.07326713 424 63212 13.662012133943 64952 14.250033 14 15 0 7 730 14.837300 145014 725 7 15.423785152526 74243 16.00945816 034 8 017 16.594290163539 81750 17.178253171042 83521 17.761318174541 85250 18.343458182036 91018 18.924644185529 92744 19.504850 193017 945 9 20.084047 20 5 3 10 231 20.662210 20 39 44 10 19 52 21.239311 21 14 22 10 37 11 21.815324 21 48 55 10 54 28 22.390223 22 23 25 11 11 42 22.963983 22 57 50 11 28 55 23.536578 233212 1146 6 24.10798324 62912 314 24.678175 24 40 41 12 20 21 25.247127 25 14 50 12 37 25 25.814817 25 48 53 12 54 27 26.381221 26 22 52 13 11 26 26.946316 26 56 47 13 28 23 27.510079 27 30 36 13 45 18 28.07248728 42114 210 28.633518 28 38 1 14 19 0 29.193151 29 11 35 14 35 48 29.751364 29 45 5 14 5232 30.30813630182915 915 30.863447 30 51 48 15 25 54 31.417276 31 25 2 15 42 31 31.969603 315811 1559 5 32.520409 32 31 13 16 15 37 33.069676 33 411 1632 5 33.617383 33 37 3 16 4831
1 ⁄ 8
5 ⁄ 32 3 ⁄ 16 7 ⁄ 32
1 ⁄ 4
9 ⁄ 32 5 ⁄ 16
11 ⁄ 32
3 ⁄ 8
13 ⁄ 32
7 ⁄ 16
15 ⁄ 32
1 ⁄ 2
17 ⁄ 32
9 ⁄ 16
19 ⁄ 32
5 ⁄ 8
21 ⁄ 32 11 ⁄ 16 23 ⁄ 32
3 ⁄ 4
25 ⁄ 32 13 ⁄ 16 27 ⁄ 32
7 ⁄ 8
29 ⁄ 32 15 ⁄ 16 31 ⁄ 32 1 1 ⁄ 16 1 1 ⁄ 8 1 3 ⁄ 16 1 1 ⁄ 4 1 5 ⁄ 16 1 3 ⁄ 8 1 7 ⁄ 16 1 1 ⁄ 2 1 1 9 ⁄ 16 1 5 ⁄ 8 1 11 ⁄ 16
1 3 ⁄ 4
1 13 ⁄ 16
34.16351434 94917 454 Taper per foot represents inches of taper per foot of length. For conversions into decimal degrees and radians see Conversion Tables of Angular Measure on page 103.
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