What is the effect of altitude on true airspeed? Announcing the arrival of Valued Associate...

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What is the effect of altitude on true airspeed?



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)How is the wind direction and wind speed measured in flight?How do you calculate indicated airspeed on a flight plan?How does headwind influence the results of a pitot tube and therefore the airspeed indicator?How to calculate the real Ground Speed from True Air Speed?Does a sudden drop of the velocity of the headwind affect the airspeed by lowering it?What type of airspeed are wind speeds given in?What is the relation between IAS and TAS at a constant altitude?Why do pilots normally fly by CAS rather than TAS?Temperature sensor are needed to compute True Airspeed for low speed aircrafts?What is the relation between altitude and vertical speed?












8












$begingroup$


I know that wind is taken into account when we compute the TAS(true airspeed) and GS(ground speed). However what is the relationship between the TAS and altitude?



For example: What is the true airspeed on the level flight if the headwind is 20 mph and ground speed is 100 mph at 30,000 feet altitude?










share|improve this question











$endgroup$








  • 2




    $begingroup$
    Learn to make the mental calculation of adding 2% to indicated airspeed for every 1000 ft above SL, and you can get a TAS value that is accurate enough for most situations.
    $endgroup$
    – John K
    yesterday
















8












$begingroup$


I know that wind is taken into account when we compute the TAS(true airspeed) and GS(ground speed). However what is the relationship between the TAS and altitude?



For example: What is the true airspeed on the level flight if the headwind is 20 mph and ground speed is 100 mph at 30,000 feet altitude?










share|improve this question











$endgroup$








  • 2




    $begingroup$
    Learn to make the mental calculation of adding 2% to indicated airspeed for every 1000 ft above SL, and you can get a TAS value that is accurate enough for most situations.
    $endgroup$
    – John K
    yesterday














8












8








8





$begingroup$


I know that wind is taken into account when we compute the TAS(true airspeed) and GS(ground speed). However what is the relationship between the TAS and altitude?



For example: What is the true airspeed on the level flight if the headwind is 20 mph and ground speed is 100 mph at 30,000 feet altitude?










share|improve this question











$endgroup$




I know that wind is taken into account when we compute the TAS(true airspeed) and GS(ground speed). However what is the relationship between the TAS and altitude?



For example: What is the true airspeed on the level flight if the headwind is 20 mph and ground speed is 100 mph at 30,000 feet altitude?







airspeed measurement






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited yesterday









Bianfable

1,635520




1,635520










asked yesterday









user38468user38468

434




434








  • 2




    $begingroup$
    Learn to make the mental calculation of adding 2% to indicated airspeed for every 1000 ft above SL, and you can get a TAS value that is accurate enough for most situations.
    $endgroup$
    – John K
    yesterday














  • 2




    $begingroup$
    Learn to make the mental calculation of adding 2% to indicated airspeed for every 1000 ft above SL, and you can get a TAS value that is accurate enough for most situations.
    $endgroup$
    – John K
    yesterday








2




2




$begingroup$
Learn to make the mental calculation of adding 2% to indicated airspeed for every 1000 ft above SL, and you can get a TAS value that is accurate enough for most situations.
$endgroup$
– John K
yesterday




$begingroup$
Learn to make the mental calculation of adding 2% to indicated airspeed for every 1000 ft above SL, and you can get a TAS value that is accurate enough for most situations.
$endgroup$
– John K
yesterday










2 Answers
2






active

oldest

votes


















8












$begingroup$

If you know GS and local wind speed, the TAS always the same, regardless of altitude. The true airspeed is called "true" because it is exactly how fast you are moving relative to the air. Picture it as a person in a weather balloon (which does not move relative to the surrounding air, i.e., TAS=0), pointing a radar gun at your aircraft to measure its speed. The results would be the same regardless of altitude, temperature, pressure, etc. This is what sets TAS apart from pretty much any other speed like IAS, CAS, EAS and Mach.



Only at truly ridiculous altitudes you would have some problems with calculating TAS, due to the increased orbital radius from the center of the Earth. However, at this point, you're well into the near vacuum of space which means that the whole concept of 'air' speed is quite silly.






share|improve this answer









$endgroup$













  • $begingroup$
    Thanks for valuable answer..
    $endgroup$
    – user38468
    yesterday










  • $begingroup$
    Not to mention, in re your last paragraph, that you are dealing as much in plasma dynamics as fluid dynamics at those altitudes.
    $endgroup$
    – KorvinStarmast
    yesterday



















3












$begingroup$

The true airspeed (TAS) can be calculated from the indicated airspeed (IAS), which is derived from the pitot tubes and static ports, as follows:



$$ mathrm{TAS} = mathrm{IAS} sqrt{frac{rho_0}{rho(a)}} , $$



where $ rho_0 $ is the air density at sea level and $ rho(a) $ the air density at altitude $ a $, which depends on pressure $ P $ and temperature $ T $:



$$ rho(a) = frac{M cdot P(a)}{R cdot T(a)} , $$



where $ M $ is the molar mass of air and $ R $ is the universal gas constant.



Using the international standard atmosphere for $ P(a) $ and $ T(a) $, one can plot the TAS as a function of altitude:
TAS as a function of Altitude for fixed IAS



The ground speed (GS) is then given by the vector addition of the TAS and the wind speed:
$$ mathrm{GS} = mathrm{TAS} + v_mathrm{wind} cos(alpha) , $$
where $ alpha $ is the angle between the wind direction and the track of the aircraft ($ alpha = 0^circ $ for tailwind, $ alpha = 180^circ $ for headwind). This step is independent of pressure or temperature and as such independent of altitude. This means for a given TAS and headwind component, the ground speed is the same at all altitudes (for your example: 100 mph GS with 20 mph headwind implies 120 mph TAS at all altitudes).






share|improve this answer











$endgroup$














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    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    8












    $begingroup$

    If you know GS and local wind speed, the TAS always the same, regardless of altitude. The true airspeed is called "true" because it is exactly how fast you are moving relative to the air. Picture it as a person in a weather balloon (which does not move relative to the surrounding air, i.e., TAS=0), pointing a radar gun at your aircraft to measure its speed. The results would be the same regardless of altitude, temperature, pressure, etc. This is what sets TAS apart from pretty much any other speed like IAS, CAS, EAS and Mach.



    Only at truly ridiculous altitudes you would have some problems with calculating TAS, due to the increased orbital radius from the center of the Earth. However, at this point, you're well into the near vacuum of space which means that the whole concept of 'air' speed is quite silly.






    share|improve this answer









    $endgroup$













    • $begingroup$
      Thanks for valuable answer..
      $endgroup$
      – user38468
      yesterday










    • $begingroup$
      Not to mention, in re your last paragraph, that you are dealing as much in plasma dynamics as fluid dynamics at those altitudes.
      $endgroup$
      – KorvinStarmast
      yesterday
















    8












    $begingroup$

    If you know GS and local wind speed, the TAS always the same, regardless of altitude. The true airspeed is called "true" because it is exactly how fast you are moving relative to the air. Picture it as a person in a weather balloon (which does not move relative to the surrounding air, i.e., TAS=0), pointing a radar gun at your aircraft to measure its speed. The results would be the same regardless of altitude, temperature, pressure, etc. This is what sets TAS apart from pretty much any other speed like IAS, CAS, EAS and Mach.



    Only at truly ridiculous altitudes you would have some problems with calculating TAS, due to the increased orbital radius from the center of the Earth. However, at this point, you're well into the near vacuum of space which means that the whole concept of 'air' speed is quite silly.






    share|improve this answer









    $endgroup$













    • $begingroup$
      Thanks for valuable answer..
      $endgroup$
      – user38468
      yesterday










    • $begingroup$
      Not to mention, in re your last paragraph, that you are dealing as much in plasma dynamics as fluid dynamics at those altitudes.
      $endgroup$
      – KorvinStarmast
      yesterday














    8












    8








    8





    $begingroup$

    If you know GS and local wind speed, the TAS always the same, regardless of altitude. The true airspeed is called "true" because it is exactly how fast you are moving relative to the air. Picture it as a person in a weather balloon (which does not move relative to the surrounding air, i.e., TAS=0), pointing a radar gun at your aircraft to measure its speed. The results would be the same regardless of altitude, temperature, pressure, etc. This is what sets TAS apart from pretty much any other speed like IAS, CAS, EAS and Mach.



    Only at truly ridiculous altitudes you would have some problems with calculating TAS, due to the increased orbital radius from the center of the Earth. However, at this point, you're well into the near vacuum of space which means that the whole concept of 'air' speed is quite silly.






    share|improve this answer









    $endgroup$



    If you know GS and local wind speed, the TAS always the same, regardless of altitude. The true airspeed is called "true" because it is exactly how fast you are moving relative to the air. Picture it as a person in a weather balloon (which does not move relative to the surrounding air, i.e., TAS=0), pointing a radar gun at your aircraft to measure its speed. The results would be the same regardless of altitude, temperature, pressure, etc. This is what sets TAS apart from pretty much any other speed like IAS, CAS, EAS and Mach.



    Only at truly ridiculous altitudes you would have some problems with calculating TAS, due to the increased orbital radius from the center of the Earth. However, at this point, you're well into the near vacuum of space which means that the whole concept of 'air' speed is quite silly.







    share|improve this answer












    share|improve this answer



    share|improve this answer










    answered yesterday









    SanchisesSanchises

    6,50812557




    6,50812557












    • $begingroup$
      Thanks for valuable answer..
      $endgroup$
      – user38468
      yesterday










    • $begingroup$
      Not to mention, in re your last paragraph, that you are dealing as much in plasma dynamics as fluid dynamics at those altitudes.
      $endgroup$
      – KorvinStarmast
      yesterday


















    • $begingroup$
      Thanks for valuable answer..
      $endgroup$
      – user38468
      yesterday










    • $begingroup$
      Not to mention, in re your last paragraph, that you are dealing as much in plasma dynamics as fluid dynamics at those altitudes.
      $endgroup$
      – KorvinStarmast
      yesterday
















    $begingroup$
    Thanks for valuable answer..
    $endgroup$
    – user38468
    yesterday




    $begingroup$
    Thanks for valuable answer..
    $endgroup$
    – user38468
    yesterday












    $begingroup$
    Not to mention, in re your last paragraph, that you are dealing as much in plasma dynamics as fluid dynamics at those altitudes.
    $endgroup$
    – KorvinStarmast
    yesterday




    $begingroup$
    Not to mention, in re your last paragraph, that you are dealing as much in plasma dynamics as fluid dynamics at those altitudes.
    $endgroup$
    – KorvinStarmast
    yesterday











    3












    $begingroup$

    The true airspeed (TAS) can be calculated from the indicated airspeed (IAS), which is derived from the pitot tubes and static ports, as follows:



    $$ mathrm{TAS} = mathrm{IAS} sqrt{frac{rho_0}{rho(a)}} , $$



    where $ rho_0 $ is the air density at sea level and $ rho(a) $ the air density at altitude $ a $, which depends on pressure $ P $ and temperature $ T $:



    $$ rho(a) = frac{M cdot P(a)}{R cdot T(a)} , $$



    where $ M $ is the molar mass of air and $ R $ is the universal gas constant.



    Using the international standard atmosphere for $ P(a) $ and $ T(a) $, one can plot the TAS as a function of altitude:
    TAS as a function of Altitude for fixed IAS



    The ground speed (GS) is then given by the vector addition of the TAS and the wind speed:
    $$ mathrm{GS} = mathrm{TAS} + v_mathrm{wind} cos(alpha) , $$
    where $ alpha $ is the angle between the wind direction and the track of the aircraft ($ alpha = 0^circ $ for tailwind, $ alpha = 180^circ $ for headwind). This step is independent of pressure or temperature and as such independent of altitude. This means for a given TAS and headwind component, the ground speed is the same at all altitudes (for your example: 100 mph GS with 20 mph headwind implies 120 mph TAS at all altitudes).






    share|improve this answer











    $endgroup$


















      3












      $begingroup$

      The true airspeed (TAS) can be calculated from the indicated airspeed (IAS), which is derived from the pitot tubes and static ports, as follows:



      $$ mathrm{TAS} = mathrm{IAS} sqrt{frac{rho_0}{rho(a)}} , $$



      where $ rho_0 $ is the air density at sea level and $ rho(a) $ the air density at altitude $ a $, which depends on pressure $ P $ and temperature $ T $:



      $$ rho(a) = frac{M cdot P(a)}{R cdot T(a)} , $$



      where $ M $ is the molar mass of air and $ R $ is the universal gas constant.



      Using the international standard atmosphere for $ P(a) $ and $ T(a) $, one can plot the TAS as a function of altitude:
      TAS as a function of Altitude for fixed IAS



      The ground speed (GS) is then given by the vector addition of the TAS and the wind speed:
      $$ mathrm{GS} = mathrm{TAS} + v_mathrm{wind} cos(alpha) , $$
      where $ alpha $ is the angle between the wind direction and the track of the aircraft ($ alpha = 0^circ $ for tailwind, $ alpha = 180^circ $ for headwind). This step is independent of pressure or temperature and as such independent of altitude. This means for a given TAS and headwind component, the ground speed is the same at all altitudes (for your example: 100 mph GS with 20 mph headwind implies 120 mph TAS at all altitudes).






      share|improve this answer











      $endgroup$
















        3












        3








        3





        $begingroup$

        The true airspeed (TAS) can be calculated from the indicated airspeed (IAS), which is derived from the pitot tubes and static ports, as follows:



        $$ mathrm{TAS} = mathrm{IAS} sqrt{frac{rho_0}{rho(a)}} , $$



        where $ rho_0 $ is the air density at sea level and $ rho(a) $ the air density at altitude $ a $, which depends on pressure $ P $ and temperature $ T $:



        $$ rho(a) = frac{M cdot P(a)}{R cdot T(a)} , $$



        where $ M $ is the molar mass of air and $ R $ is the universal gas constant.



        Using the international standard atmosphere for $ P(a) $ and $ T(a) $, one can plot the TAS as a function of altitude:
        TAS as a function of Altitude for fixed IAS



        The ground speed (GS) is then given by the vector addition of the TAS and the wind speed:
        $$ mathrm{GS} = mathrm{TAS} + v_mathrm{wind} cos(alpha) , $$
        where $ alpha $ is the angle between the wind direction and the track of the aircraft ($ alpha = 0^circ $ for tailwind, $ alpha = 180^circ $ for headwind). This step is independent of pressure or temperature and as such independent of altitude. This means for a given TAS and headwind component, the ground speed is the same at all altitudes (for your example: 100 mph GS with 20 mph headwind implies 120 mph TAS at all altitudes).






        share|improve this answer











        $endgroup$



        The true airspeed (TAS) can be calculated from the indicated airspeed (IAS), which is derived from the pitot tubes and static ports, as follows:



        $$ mathrm{TAS} = mathrm{IAS} sqrt{frac{rho_0}{rho(a)}} , $$



        where $ rho_0 $ is the air density at sea level and $ rho(a) $ the air density at altitude $ a $, which depends on pressure $ P $ and temperature $ T $:



        $$ rho(a) = frac{M cdot P(a)}{R cdot T(a)} , $$



        where $ M $ is the molar mass of air and $ R $ is the universal gas constant.



        Using the international standard atmosphere for $ P(a) $ and $ T(a) $, one can plot the TAS as a function of altitude:
        TAS as a function of Altitude for fixed IAS



        The ground speed (GS) is then given by the vector addition of the TAS and the wind speed:
        $$ mathrm{GS} = mathrm{TAS} + v_mathrm{wind} cos(alpha) , $$
        where $ alpha $ is the angle between the wind direction and the track of the aircraft ($ alpha = 0^circ $ for tailwind, $ alpha = 180^circ $ for headwind). This step is independent of pressure or temperature and as such independent of altitude. This means for a given TAS and headwind component, the ground speed is the same at all altitudes (for your example: 100 mph GS with 20 mph headwind implies 120 mph TAS at all altitudes).







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited yesterday

























        answered yesterday









        BianfableBianfable

        1,635520




        1,635520






























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