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32 REPORT NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS [[image - drawing of an aircraft showing the forces and moments]] Positive directions of axes and angles (forces and moments) are shown as arrows]] [{5 Columns}] Axis Designation | Axis Symbol | Force (parallel) to axis symbol | Moment about axis Designation | Moment about axis Symbol | Moment about axis Positive direction | Angle Designation | Angle Symbol | Velocities Linear (component along axis) | Velocities Angular Longitudinal | X | X | Rolling | L | Y→Z | Roll | φ | u | P Lateral | Y | Y | Pitching | M | Z→X | Pitch | θ | v | q Normal | Z | Z | Yawing | N | X→Y | Yaw | ψ | w | r Absolute coefficients of moment C [sub] l = L/qbS (rolling) C [sub] m = M/qcS C [sub] n = N/qbS (yawing) Angle of set of control surface (relative to neutral position), (sigma). (Indicate surface by proper subscript.) 4. PROPELLER SYMBOLS [column 1] D, Diameter p, Geometric p/D, Pitch ratio V [sup] t, Inflow velocity V [sub] s, Slipstream velocity T, Thrust, absolute coefficient C [sub] T = T/pn [sup] 2 D [sup] 4 Q, Torque, absolute coefficient C [sub] Q = Q/pn [sup] 2 D [sup] 5 [/column 1] [column 2] P, Power, absolute coefficient C [sub] P = P/pn [sup] 3 D [sup] 5 C [sub] s, Speed-power coefficient = [sup] 5 SQRT(pV [sup] 5/Pn [sup] 2 (nu), Efficiency n, Revolutions per second, r.p.s. (phi), Effective helix angle = tan [sup] -1 (V/2(pi)rn) [/column 2] 5. Numerical Relations [column 1] 1 hp. = 76.04 kg-m/s = 550 ft-lb./sec. 1 metric horsepower = 1.0132 hp. 1 m.p.h. = 0.4470 m.p.s 1 m.p.s = 2.2369 m.p.h [/column 1] [column 2] 1 lb. = 0.4536 kg. 1 kg = 2.2046 lb. 1 mi. = 1,609.35 m = 5,280 ft. 1 m = 3.2808 ft. [/column 2]
Transcription Notes:
[sub] = subscript
[sup] = superscript