MasteringPhysics: Chapter 8-Google Chrome https://session.masteringphysics.com/m
ID: 1430629 • Letter: M
Question
MasteringPhysics: Chapter 8-Google Chrome https://session.masteringphysics.com/myct/itemView?assignmentProblem/D 56099951 hys201-2016-Spring hapter Problem 8 65 previous 18 of 18 relum to as roblem 8.65 Part A You are flying to New York Youve been reading the in-flight magazine, which has an article about the physics of flying You learned that the airflow What is the diameter of the airplane's path around the airport? Express your answer to two significant figures and include the appropriate units over the wings creates a lift force that is always perpondicular to the wings In level flight, the upward lift force exactly balances the downward weight force The pilat comes on to say that because of heavy traffic, the plane is going to circle the airport for a while She says that you maintain a speed of 300 mph at an altitude of 20.000 ft. You start to wonder what the diameter of the plane's circle around the airport is. You notice that the pilot has banked the plane so that the wings are 10 from horizontal The safety card in 37018 nm Incorrect; Try Again; 4 attempts remaining the seatback pecket informs you that the planes wing span is 250 tExplanation / Answer
8.65
In vertical,
F cos@ = mg ......(i)
where F is uplift force,
in horizontal,
Fsin@ = m v^2 /r ......(ii)
(ii) / (i)
Fsin@ / Fcos@ = tan@ =mv^2 / rmg
tan10 = v^2 / rg
v = 300 mph = 300 x 1609 m / 3600s = 134.08 m/s
tan10 = 134.08^2 / (r x 9.8)
r = 10404.11 m
8.43
C) to keep from falling at top:
minimum centripetal acc of 9.81 m/s^2 is needed.
and a_c = w^2 r
9.81 = w^2 ( 17/2)
w = 1.07 rad/s
and time period = 2pi / w = 2pi / 1.07 = 5.85 s