Question

An airplane is flying in a horizontal circle at a speed of 481 km/h. If its wings are tilted at angle θ = 45.0° to the horizontal, what is the radius of the circle in which the plane is flying? Assume that the required force is provided entirely by an "aerodynamic lift" that is perpendicular to the wing surface.

Answer #1

A model airplane of mass 0.760 kg flies with a speed of 35.0 m/s
in a horizontal circle at the end of a 54.0-m control wire as shown
in Figure (a). The forces exerted on the airplane are shown in
Figure (b): the tension in the control wire, the gravitational
force, and aerodynamic lift that acts at θ = 20.0° inward
from the vertical. Compute the tension in the wire, assuming it
makes a constant angle of θ = 20.0°...

QUESTION 3 An airplane flying at a speed of 600 km / h
to the north is held by a wind blowing at a speed of 50 km / h from
the north-east direction. What should be the speed and direction of
the plane to go in the same direction (north)?

an airplane maintains a speed of 609 km/h relative to
the air flying through as it makes a trip to a city 752 km away to
the north.
a) what time interval is required for the trip if the plane flies
through a headwind blowing at 32.7 km/h towards south?
b) what time interval is required if there is a tailwind with the
same speed?
c) what time interval is required if there is a crosswind blowing
at 32.7km/h to...

A model airplane of mass 0.4 kg is attached to a horizontal
string and flies in a horizontal circle of radius 5.9 m, making 2
revolutions every 7 s. (The weight of the plane is balanced by the
upward “lift” force of the air on the wings of the plane.) The
accelaration due to the gravity is 9.81 m/s2 . Find the speed of
the plane. Answer in units of m/s.
Find the tension in the string. Answer in units...

An
airplane flying directly eastward at a constant speed travels 297
km in 2.0 h.

The model airplane has a mass of 0.90 kg and moves at constant
speed of 19 m/s on a circle that is parallel to the ground. The
path of the airplane and the guideline lie in the same horizontal
plane because the weight of the plane is balanced by the lift
generated by its wings. What is the work done by the tension in the
17 m guideline when the model airplane completes one circle?

An airplane heading due north at 500 km/h encounters a wind with
a speed of 65 km/h blowing from [N60°E]. Determine
the resultant ground velocity of the plane.
PLEASE STATE VELOCITY WITH DIRECTION (AND ANGLE)

A plane flying with a
constant speed of 14 km/min passes over a ground radar station at
an altitude of 11 km and climbs at an angle of 35 degrees. At what
rate is the distance from the plane to the radar station increasing
4 minutes later?
The distance is increasing at ________________________
km/min.
Hint: The law of cosines for a triangle is
c2=a2+b2−2abcos(θ)
where θ
is the angle between the sides of length a and b.

A plane flying with a constant speed of 9 km/min passes over a
ground radar station at an altitude of 6 km and climbs at an angle
of 25 degrees. At what rate is the distance from the plane to the
radar station increasing 5 minutes later?
Hint: The law of cosines for a triangle is
c^2=(a^2)+(b^2)−2abcos(θ)
where ? is the angle between the sides of length a and b

An airplane is heading due south at a speed of 662 km/h . A wind
begins blowing from the southwest at a speed of 80 km/h (average).
In what direction should the pilot aim the plane so that it will
fly due south? Express your answer to three significant figures and
include the appropriate units.

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