Discussion
A general aviation airplane is flying at an altitude of 5000 m. The indicated airspeed is 250 km/h. Assume that there are no instrument errors and position errors. Neglecting compressibility effects, which one of the following options is FALSE?
Answer: C
The FALSE statement is The true airspeed is 250 km/h.
With no instrument or position errors, calibrated airspeed equals indicated airspeed, 250 km/h. Neglecting compressibility, equivalent airspeed equals calibrated airspeed, also 250 km/h. True airspeed is related to equivalent airspeed through the density ratio:
\[ V_{true} = \frac{V_{e}}{\sqrt{\rho/\rho_{0}}} \]
At 5000 m the air density is well below sea-level density (about 60% of it), so the true airspeed is larger than 250 km/h, roughly 320 km/h. That makes 'true airspeed is greater than 250 km/h' true and 'true airspeed is 250 km/h' false.
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