A frequently quoted rule of thumb in aircraft design is that wings should produce about 1000 N of lift per square meter of wing.
1 answer:
Answer:
v₂ = 63.62 m / s
Explanation:
For this exercise in fluid mechanics we will use Bernoulli's equation
P₁ + ρ g v₁² + ρ g y₁ = P₂ + ρ g v₂² + ρ g y₂
where the subscript 1 refers to the inside of the wing and the subscript 2 to the top of the wing.
We will assume that the distance between the two parts is small, so y₁ = y₂
P₁-P₂ = ρ g (v₂² - v₁²)
pressure is defined by
P = F / A
we substitute
ΔF / A = ρ g (v₂² - v₁²)
v₂² =
suppose that the area of the wing is A = 1 m²
we substitute
v₂² =
v₂² = 79.10 + 3969
v₂ = √4048.1
v₂ = 63.62 m / s
You might be interested in
Answer:
Explanation:
From the question we are told that:
Far point is
Near point is
Therefore
Focal Length
Generally the equation for the Lens is mathematically given by
a) 19.4 cm
b) 3.2 m/s
Explanation:
a)
A horizontal spring-mass system has a motion called simple harmonic motion, in which the mass oscillates following a periodic function (sine or cosine) around an equilibrium position.
As the system oscillates back and forth, its total mechanical energy (sum of elastic potential energy and kinetic energy) will remain conserved (since we consider friction negligible). The elastic potential energy at any point is given by:
where
k is the spring constant
x is the displacement of the system
While the kinetic energy at any point is
where
m is the mass
v is the speed
So the total mechanical energy of the system is
For this system, when it is initially released,
m = 0.6 kg
k = 165 N/m
x = 7 cm = 0.07 m
v = 3 m/s
So the total energy is
Since friction is negligible, this total energy remains constant. Therefore, when the system reaches its maximum stretch during the motion, the kinetic energy will be zero and all the mechanical energy will be elastic potential energy; so we will have:
where is the maximum stretch. Solving for
,
So, 19.4 cm.
b)
The maximum speed in a spring-mass oscillating system is reached when the kinetic energy is maximum, and therefore, since the total energy is conserved, when the elastic potential energy is zero:
which means when the displacement is zero:
x = 0
So, when the system is transiting through the equilibrium position.
Therefore, the total mechanical energy is equal to the maximum kinetic energy:
where
m is the mass
is the maximum speed
Here we have:
E = 3.1 J
m = 0.6 kg
Therefore, solving for the maximum speed,