By Cliff Matthews

This can be an important convenient consultant containing invaluable modern info frequently wanted through the coed or working towards engineer. masking all features of airplane, either fastened wing and rotary craft, this notebook presents easy accessibility to invaluable aeronautical engineering facts and resources of knowledge for additional in-depth details.

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In SI it is m/s 2. 80665 m/s2). 13 Angular velocity T h e basic unit is radians p e r second (rad/s). 2958 degree/s T h e radian is also the SI unit used for plane angles. 57 radians 1 d e g r e e -- rc/180 radians Fundamental dimensions and units Force(N) Torque=Nr Fig. 5 Torque Aream 2 M ~ 1 1 Fig. ~ Stress Fig. in). In SI it is m 2. 9. 8). 37gin ~. A smooth-machined 'mating' surface with peaks 16-32lain A fine 'lapped' surface with peaks within 1gin Fig. s/ft 2 or, in the SI system, in N s/m 2 or pascal s e c o n d s (Pa s).

2 Primary and secondary quantities Primary quantities are quantities which are absolutely independent of each other. 19062 0 . 58750 0 . 77812 0 . 36562 0 . 95312 0 . 12812 0 . 30312 0 . 65312 0 . 40000 M Mass L Length T Time F o r e x a m p l e , v e l o c i t y (v) is r e p r e s e n t e d b y l e n g t h d i v i d e d b y t i m e , a n d t h i s is s h o w n by: L Iv] = ~ : note the square brackets denoting 'the dimension of'. 12 shows the most commonly used quantities. 12 Dimensional analysis quantities Quantity Dimensions Mass (m) Length (l) Time (t) Area (a) Volume (V) First moment of a r e a Second moment of area Velocity (v) Acceleration (a) Angular velocity (w) Angular acceleration (a) Frequency (f) Force (F) Stress {pressure}, (S{P}) Torque (7) Modulus of elasticity (E) Work (W) Power (P) Density (p) Dynamic viscosity (p) Kinematic viscosity (~:) M L T L2 L3 L 3 L4 LT-1 L7~2 ]wi T2 7~1 M L T -2 M L 17~2 M L 2 7 ~2 M L - 1 T -2 M L 2 7 ~2 ML2~F 3 ML 3 M L - 1 T -1 L2T~I H e n c e velocity is called a secondary quantity because it can be expressed in terms of p r i m a r y quantities.

6 7 + ... (x a < 1) 30 Aeronautical Engineer's Data Book tan-lx=x-lx3+5xS-- ~i X7 + ... 7 Vector algebra Vectors have direction and magnitude and satisfy the triangle rule for addition. Quantities such as velocity, force, and straight-line displacements may be represented by vectors. g. Ax, Ay, A z or Axi + A j + Azk. , is given by V = V 1 + V 2 ~- V 3 --}- . . )k Product of a vector V by a scalar quantity s sV = (sa)i + (sb)j + (sc)k (S 1 + s 2 ) V = S l Y + s2V ( V 1 + V2)s = V l S + V2s where sV has the same direction as V, and its magnitude is s times the magnitude of V.