User:Paul Lockheed

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4.2.1 Airspeed pointer

$$V_i = C_{s0} \sqrt{\frac{2}{\gamma-1} \left [ \left ( 1+ \frac{q_c}{P_0} \right )^\frac{\gamma -1}{\gamma} -1 \right ] }$$   ias_pointer.png

4.2.2 Maximun allowable airspeed pointer

At levels below that where Vmo = Mmo

$$V_{max} = C_{s0} \sqrt{\frac{2}{\gamma-1} \left [ \left ( 1+ \frac{P}{P_0} \left [ \left ( \frac {V_{EM}^2}{5C_{s0} \,\sigma} +1 \right )^\frac {\gamma}{\gamma-1} -1 \right ] \right )^\frac{\gamma -1}{\gamma} -1 \right ] }$$ Vmax_EAS.png

At levels above that where Vmo = Mmo

$$V_{max} = C_{s0} \sqrt{\frac{2}{\gamma-1} \left [ \left ( \frac{P}{P_0} \left [ \left ( 1+ \frac {(\gamma -1) M_m^2}{2} \right )^\frac {\gamma}{\gamma-1} -1 \right ] +1 \right )^\frac{\gamma -1}{\gamma} -1 \right ] }$$ Vmax_mach.png

$$M = \sqrt {5 \left [ \left ( \frac{q_c}{P_s} +1 \right )^ \frac{2}{7} -1 \right ]}$$ m_fm_qc_&_ps