Maths Q's
Hi Guys,
Just been working through some of the maths q's that have been posted on here before and wondering if you agree with my answers and/or if there is anything I haven't thought about... would appreciate your input just trying to get ready for stage 2!!!!
1) An A/C was flying at 38000’ (FL380) and OAT was -40 Degrees. What should the OAT be according to ISA? Is it warmer or colder than ISA? By how much?-56.5 warmer then ISA by 16.5 degrees!
2) Ground temp was 29 degrees, cloud base was 2000’. What is temperature of a parcel of air @ 4000’ using DALR and SALR? 20 degrees!
3) If we are flying at 540kt at FL360 with 100nm to go before waypoint A, and we need to reach FL390 by waypoint A, and our climb rate is 1000fpm, when is the latest before waypoint A that we need to start our climb?27 NM before A
4) If we are at 3000’ and the QNH is 990, what is the pressure altitude? QNH is Less then ISA so add to airfield altitude = 3690ft
5) Given our answer in the previous question, do we immediately climb after receiving instructions from ATC or do we wait until 27nm before waypoint A before commencing climb? Why? Higher Flight Level = faster TAS, less fuel burn and anything else I can’t think off??
6) If our heading is 360 and there is a wind blowing from 090, can we expect to arrive at our next waypoint at the same time, or at a different time? Same time!
7) What is the load factor in a 45 degree AOB turn? 1.4g
8) How many G’s do you pull when you do a 60 degree steep turn? 2g
9) If we are flying at FL330 and we need to descend to FL260, with a GS of 480kts and descent rate of 500fpm, how long will our descent take? How far will we fly during the descent? 14 minutes and 112 NM
10) If the runway heading is 040 and you have a crosswind of 100/20, what is your crosswind component? Using the clock code (1 in 60) rule wind is 60 degrees off hence you take the full cross wind = 20 knots
11) Assume we are cruising at FL380 and we wish to descend to Kunming (elevation 5000'). The aircraft travels 3nm for every 1000ft of descent, and we wish to leave 15nm before arriving at Kunming for the aircraft to slow down. How far before Kunming is the TOD? 114 NM
12) Coming back to the previous question about descending into Kunming. If we use spoilers and it gives us a 50% decrease on the distance the aircraft travels per 1000ft descent, and it improves aircraft deceleration by 50%. What is the new TOD? 114/2 = 57 NM be careful!!
Happy landings...
FTP