Convert EAS to TAS: Equations and Solution for a Boeing 747 at 10,000m Altitude

[lufbrajames]

Homework Statement

Hi, I am really stuck on this problem, I've been finding equations to convert the EAS to TAS but none of them have temperature involved.




2) A Boeing 747 is cruising at an altitude of 10,000m the pilot looks at the air speed indicator (calibrated for ISA) which shows an EAS of 450 knts. If the sea level pressure is 101530 Pa and the temperature is 20 oC, calculate the True Air Speed (TAS) of the aircraft.

Homework Equations

the equation I've found is

EAS = TAS * sqrt(actual air density / standard air density)

The Attempt at a Solution

the values I've got don't fit into the equation ?

 

[Danger86514]

Try these formulas ... just a thought


TAS = 2 x EAS x (T + 460)/P

Reference: http://www.nar-associates.com/technical-flying/airspeed/airspeed_wide_screen.pdf

The barometric formula

Reference: http://hyperphysics.phy-astr.gsu.edu/hbase/Kinetic/barfor.html#c3

Pressure Altitude

Reference: http://en.wikipedia.org/wiki/Pressure_altitude