Question

Obtain the air density of an aircraft that flies at the following altitudes: 2.5km, 8.5km, 10.3km, 13.6km, 21.5km, 24.6 km using the equation $\rho=(\frac{1}{R})[\rho_0(\frac{T_0-B(h))}{T_0})^{4.25}]$

$B= \frac{6.5}{1000}$

Answer 1

Solen Concept 04 the the higher altitude air craft fly at the density decyeases maling affecting the performance of aircrabt. advercely engine of The given qua hon. f ) [to ( To - B(A)) (4))"'*5] To where, at STP. To 273.15 K to = 1.27 kg/m² R = 0.287 rcs legk = 287 I { for as le Given, B - 6.5 1000 at 2. 5 km. 3 ha2.5x10 po $1 to (TBA3)"}] 287 [1.271 2345 - 6.5 90 66 x 2.5 x1000 14:25 CS Scanned with CamScanner 273,15

f: 3.409 XI0 S log/m3 at f 5 kom 4,25 fi ☆ [ po (to - Bih))4. To 14:25 - 17 (1-27 ( 273:15-6:5. *8500) ** 287 213-15 1.693 X10-3 legim3 at 10.3 im. to â t to 1 To - BI433 4:25 ] To (127 (27315 - 0 x10300) 9:25] 287 273.15 po 1.339 X10-3 rylma at 13.6 Tem. fs [ to l To Blu) )425 1 & To 14.25 1)528 ICS Scanned witl287 CamScanner 293.15

p= 8.398 x 10-3 kg/ Im3 at 21.5 tem, f 4.25 ☆ [pol To-BEA))" To. 4,25 ta 1289 [1.22 (213-15 273.15 - 6.5 406 * 21500) " 273.15 2-)044 X 104 Ig/m² at 24.6 kom. petk tl To - Bess)" 14.251 Po 4.25 ( 273-15 - 6r 5 I 287 [ 102 1600) 1.23 Toox 24600 273.15 f 1-04925*10-4 lcg/m2 CS Scanned with CamScanner

As you carefully observe the density comes to be very less due to high speed of air craft and this damages the performance of aircraft putting it in higher risk.