Question

4. (12 pts) An airplane flying at 800 kilometers per hour is tracing out horizontal circles in the sky. The plane completes one full circle in 14 minutes. (a) At what angle is the plane banked? (b) What is the percentage increase in the perceived weight of the passengers?

Answer 1

ANcoso AN Nsino Let the plane backed with an angle o, i Verticle component a Normal will balance the weight force Neoso = mg -o while horizental component will provide the necessary centripetal force » Nsimo=fc = my2 -② Velocity 0=800 km/h = 222-22m/s o Time period I = 14 men=14860 = 840 sec 2ax - T >Ya TV r = 840x 222-22 = 29723.69 m Dividing ep=④ by eq=0 Nsino = tand= mo% Nioso I = tant 1/222-22² ) 1 29723-69X918) z tan" (0-17) = 9.6° 24 2x3.14 o = tan' I u²

Q = me from ego, Noso = mg Na een mooie = 1.01 mg % weight increase allolmg-me) x100=1% me