Example 6 TABLE A-11 Properties of the atmosphere at high altitude Speed of Altitude, Temperature, Pressure, Gravity Sound, Density, m .C kPa g, m/sz m/s ka/m3 The jet engines on a Boeing 757 0 15.00 101.33 9.807 340.3 1.225 200 12 70 OR OF 220 6 400 12.40 96.61 9.805 338.8 1.179 must develop a certain amount of 600 11.10 94.32 9.805 338.0 1.156 800 9.80 92.08 9.804 337.2 1.134 1000 8.50 89.88 9.804 336.4 1.112 power to propel the airplane through 1200 7.20 87.72 9.803 335.7 1.090 1400 5.90 85.60 9.802 334.9 1.069 1600 4.60 83.53 9.802 334.1 1.048 the air with a speed of 320 km/h at a 1800 3.30 81.49 9.801 333.3 1.027 2000 2.00 79.50 9.800 332.5 1.007 2200 0,70 77.55 9.800 331.7 0.987 cruising altitude of 5,000 m. By what 2400 -0.59 75.63 9.799 331.0 0.967 2600 -1.89 73.76 9.799 330.2 0.947 2800 -3.19 71.92 9.798 329.4 0.928 percent must the power be increased 3000 -4.49 70.12 9.797 328.6 0.909 3200 -5.79 68.36 9.797 327.8 0.891 3400 -7.09 66.63 9.796 327.0 0.872 if the same airplane were to maintain 3600 -8.39 64.94 9.796 326.2 0.854 3800 -9.69 63.28 9.795 325.4 0.837 4000 -10.98 61.66 9.794 324.6 0.819 its 320 km/h flight speed at sea 4200 -12.3 60.07 9.794 323.8 0.802 4400 -13.6 58.52 9.793 323.0 0.785 4600 -14.9 57.00 9.793 322.2 0.769 level? 4800 162 56 51 0 702 221 4 0 752 5000 -17.5 54.05 9.791 320.5 0.736 TO.0 5400 -20.1 51.23 9.790 318.9 0.705 5600 -21.4 49.86 9.789 318.1 0.690 5800 -22.7 48.52 9.785 317.3 0.675 6000 -24.0 47.22 9.788 316.5 0.660 6200 -25.3 45.94 9.788 315.6 0.646