1.) An aircraft performs a maneuver called an aileron roll. Dujring this maneuve

Question

1.) An aircraft performs a maneuver called an aileron roll. Dujring this maneuver, the plane turns like a screw as it maintains a straight flight path, by using its ailerons to set the wings in circular motion. Due to structural strength, an airplane can only withstand an acceleration of 6.1m/s^2 on its wing tips. If the wing span is 6.0m, what is the shortest time it can make a full turn when it performs an aileron roll?

A.) 4.4s

B.) 6.0s
C.) 0.70s
D.) 6.2s
E.) 7.0s

2.) The weight of a spaceman Speff, solely due to the gravitational pull of planet X at its surface, is 389 N. If he moves to a distance of 1.86x10^4km above the planet's surface, his weight changes to 24.31 N. What is the mass of planet X, if Speff's mass is 75kg?
A.) 2.96*10^24kg
B.) 2.96*10^18kg
C.) 2.96*10^17kg

D.)1.59*10^18kg

E.)1.59*10^24kg

Please show all of the steps and work to solve the two questions.

Explanation / Answer

1)

centripetal acceleration = ω^2*r

6.1 = ω^2*3

ω = 1.4259 rad/s

in one turn = 2Ï€ rad

shortest time = 2Ï€/1.4259

= 4.322389703351917 s

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