Mathematics at Work: Practical Applications of Arithmetic, Algebra, Geometry, Trigonometry and Logarithms to the Step-by-step Solutions of Mechanical Problems, with Formulas Commonly Used in Engineering Practice, Standard Reference Tables and a Concise Review of Basic Mathematical PrinciplesIndustrial Press, 1949 |
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Σελίδα 25
... Example 1 - One side and hypotenuse are known . Given : a = 5.91 b = 4.51 To Find : Side c and Angles B and C. b 4.51 - a 5.91 Solution : sin B = B = 49 ° 44.4 ' = · 0.76311 A = 90 ° C = 90 ° — B = 90 ° — 49 ° 44.4 ' = 40 ° 15.6 ' c = a ...
... Example 1 - One side and hypotenuse are known . Given : a = 5.91 b = 4.51 To Find : Side c and Angles B and C. b 4.51 - a 5.91 Solution : sin B = B = 49 ° 44.4 ' = · 0.76311 A = 90 ° C = 90 ° — B = 90 ° — 49 ° 44.4 ' = 40 ° 15.6 ' c = a ...
Σελίδα 31
... Example 3a Given : a = 2.59 b = 5.50 A = To Find : Side c and angles B and C. Solution : 5.50 X sin 68 ° 7 ' = 68 ° 7 ' 5.50 X 0.92974 = 5.11 . Since in this case a < b sin A , no triangle is possible . Example 3b Given : a = 5.11 b ...
... Example 3a Given : a = 2.59 b = 5.50 A = To Find : Side c and angles B and C. Solution : 5.50 X sin 68 ° 7 ' = 68 ° 7 ' 5.50 X 0.92974 = 5.11 . Since in this case a < b sin A , no triangle is possible . Example 3b Given : a = 5.11 b ...
Σελίδα 43
... Example 3 : Find the quotient of 731 ÷ 4392 log 731 = log 731 = - log 4392 = - antilog 1.22126 = 2.86392 +2 — 4.86392 3.64266 1.22126 0.16644 - 2 2 - 2 Example 4 : Find the quotient of 411 0.00527 - log 411 = = - 2.61384 11 13.61384 ...
... Example 3 : Find the quotient of 731 ÷ 4392 log 731 = log 731 = - log 4392 = - antilog 1.22126 = 2.86392 +2 — 4.86392 3.64266 1.22126 0.16644 - 2 2 - 2 Example 4 : Find the quotient of 411 0.00527 - log 411 = = - 2.61384 11 13.61384 ...
Περιεχόμενα
AlgebraThe Shorthand of Mathematics | 2-1 |
GeometryDefinitions and Principles Commonly Applied | 2-31 |
TrigonometryFundamentals Utilized in Solving Practical | 10 |
Πνευματικά δικαιώματα | |
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Συχνά εμφανιζόμενοι όροι και φράσεις
90 degrees Analysis of Problem axis chord circular segment common logarithms compound angle computed convergent Cosec cosine of required cubic decimal Degrees and function denominator Derivation of Formula distance divided divisor driver equal equation Example factor find angle Find Radius fraction Free Body Diagram function at bottom function at top given number greatest common divisor hence horsepower hypotenuse intersection Law of Sines least common multiple length load mantissa method minutes at left minutes at right multiplied Natural Trigonometric Functions number of teeth pitch diameter plane planet gear pounds per square quadratic equation radians ratio right-angled triangle rotation Secant Cosec Secant Vrs shaft shown in Fig side Solution solved Square Cube square inch Step Substituting the equivalent T₁ tangent taper thread train arm Trigonometric Functions velocity versed sine vertical W₁ weight