at takeoff the aircraft travels at 55.0 m/s, so that the air speed relative to the bottom of the wing is 55.0 m/s. given the sea level density of air to be 1.29 kg/m3, how fast (in m/s) must it move over the upper surface to create the ideal lift?

Answers

Answer 1

The velocity of the aircraft to move over the upper surface to create the ideal lift is  67.64 m/s.

Describe Bernoulli's principle?

According to the Bernoulli's principle of fluid dynamics, a fluid's speed increases concurrently with a drop in static pressure or a drop in potential energy.The idea of energy conservation can be used to derive Bernoulli's principle. This implies that in a steady flow, the total amount of energy present in a fluid is constant at all points that are not affected by viscous forces. In order to achieve this, the total amount of kinetic energy, potential energy, and internal energy must remain constant.

Because of Bernoulli's principle, which states that when air speeds up, pressure decreases, airplanes are able to fly. Thus, the reason a wing produces lift is because the air moves faster over the top, resulting in a region of low pressure and lift.

The ideal lift is determined by the fluid density and velocity relationship, so:

F_lift = 1/2 x p x A x (v_f^2 - v_i^2)

As a result, the fluid's density may be calculated.

p = 1.29 kg / m^3

The situation's environment indicates that the wings generate roughly 100N of lift per square meter of wings, therefore

A = 1 m^2

the beginning speed is

v_i = 55.0 m/s

Replacing

F_lift = 1/2 x 1.29 x 1 x (v_f^2 - 55 x 55)

1000 = 0.645 x (v_f^2 - 3025)

1550.387 =  (v_f^2 - 3025)

v_f^2 = 4575.387

v_f = 67.64 m/s.

Hence, the velocity of the aircraft to move over the upper surface to create the ideal lift is  67.64 m/s.

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Related Questions

a car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 34 ft/s2. what is the distance covered before the car comes to a stop?

Answers

The calculated value is 84.03 ft. The deceleration will be calculated by multiplying the final velocity by the initial velocity, then dividing that result by the time it takes for the velocity to drop.

Given that you don't have enough time to complete this task, you can only apply the kinematic formula Vf 2 = Vi 2 + 2aD, which includes all the variables.

0 for Vf = Final Velocity (since you are trying to stop)

Initial Velocity = 50 MPH (Vi)

a= acceleration equals 32 ft/s2.

D is the distance covered (displacement)

We must ensure that all variables and constants are in the same units before we can use this formula. This means that all of your measurements should be in feet (ft) or miles (mi), and all of your time measurements must be in seconds (s) or meters (m).

Now calculate the distance by separating D by itself.

D= (-5377.7778/ -64)\s

= 84.03 ft

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Lucy and her bike together have a mass of 120 kg. She slows down from 4. 5 m/s to 3. 5 m/s. How much kinetic energy does she lose?.

Answers

Answer:

The answer is - 480 kj

Explanation:

kinetic energy before: K1 = 1/2 *m*U1^2=} K1= 1/2*120*4.5^2=} K1= 60*4.5*4.5=} K1= 1,215 kj

kinetic energy after : K2=1/2 *m*U2^2=} K2= 1/2*120*3.5*3.5=} K2= 735 kj

if you want to find the kinetic energy that the mass has lost you need to do : K2-K1= 735-1.215= - 480 kj

What will the density be if the radius of the sphere is halved, compressing the air within?.

Answers

The resultant density of the sphere when its radius is halved is eight times the initial density of the sphere.

Let the radius of the sphere = r

The volume of the sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]

Mass of the sphere = M

Now, The density of the sphere = D = Mass/Volume

So, The density will be,

[tex]D = \frac{M}{\frac{4}{3} \pi r^{3} } = \frac{3M}{4\pi r^{3} }[/tex]

It is given that the radius of the sphere is halved, then

[tex]D' = \frac{M}{\frac{4}{3} \pi (\frac{r}{2} )^{3} } = \frac{24M}{4\pi r^{3} } = \frac{6M}{\pi r^{3} }[/tex]

Now, Dividing  both the densities, D and D', we get

[tex]\frac{D}{D'} = \frac{1}{8}\\ \\D' = 8D[/tex]

Hence, The resultant density of the sphere when its radius is halved is eight times the initial density of the sphere.

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Explain your understanding of water waves: 1. Use your own words and captured images from the simulation to show you can measure: a. Wavelength of longest wave possible b. Wavelength of shortest wave possible c. Height of tallest wave possible 2. Describe your experiments to make waves of different wavelengths and heights including which views and tools were needed and why. Support your explanation with images from the simulation.

Answers

A Water waves are formed by the interaction between the earth, moon and the sun and usually of short wavelength.

Gamma rays have incredibly short wavelengths that are only a small percentage of the size of atoms, but other wavelengths can extend as far as the cosmos, despite the fact that the relationship between wave frequency and wavelength is inverse. Although it is not often stated explicitly, electromagnetic radiation wavelengths are frequently represented in terms of the vacuum wavelength, regardless of the medium they pass through.

Electromagnetic radiation's behavior is influenced by its wavelength. Wavelength times frequency equals the speed of light. Energy is obtained by multiplying frequency by the Planck constant. The wave number in centimeters is 1/wavelength. A rough estimate of the wavelength size is shown along with the wavelengths of various regions of the electromagnetic spectrum.

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What conditions can cause hurricanes to change direction?
need ASAP please

Answers

According to the research, the correct answer is that the conditions that affect hurricanes causing them to change direction are higher latitudes.

What are hurricanes?

It is a tropical cyclone that generates strong winds whose storms circulate around a center of low pressure.

In this sense, this phenomenon usually has its beginning in the tropics around the area of low pressure whose direction is influenced by the Coriolis effect that diverts the trajectory of objects that move over the Earth's surface and the higher latitudes that reverse the steering winds.

Therefore, we can conclude that higher latitudes and the Coriolis effect are conditions that affect the path of hurricanes by changing their direction.

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Given: Assume the near point (of the eye) is 25 cm . The distance between eyepiece and objective lens in a certain compound microscope is l = 17.6 cm . The focal length of the eyepiece is fe = 2.57 cm , and that of the objective lens is fo = 0.3 cm . What is the overall magnification of the microscope? Caution: a negative quantity this is. Use the approximation l − fe ≈ l and object distance do is approximately the focal length fo.

Answers

The overall magnification of the microscope is - 570.687.

A microscope is a laboratory tool used to have a look at items which can be too small to be seen with the aid of the bare eye. Microscopy is the technology of investigating small objects and structures through the use of a microscope. The microscopic approach is invisible to the attention unless aided by using a microscope.

The focal length of a microscope objective is generally between 2 mm and 40 mm. but, that parameter is regularly considered as less important, on account that magnification and numerical aperture are sufficient for quantifying the critical performance in a microscope.

Calculation:-

M = -(L/f) (near point/Fe)

M = - (0.176/0.003)(0.25/0.0257)

M = - 570.687

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An 9 kg object is accelerated with 450N of force. What will be the acceleration of the object? Show your work.

Answers

Answer:

Explanation:

Given:

m = 9 kg

F = 450 N

_________

a - ?

According to Newton's 2nd law:

a = F / m

a = 450 / 9 = 50 m/s²

Select the correct answer from each drop-down menu. How can you summarize the ruler placement postulate? you can measure the between points a and b by using as zero.

Answers

The ruler placement hypothesis can be summed up as follows:

The set of points on the line and the set of real numbers are equivalent in every way, and the absolute value of the difference between the matching numbers is equal to the distance between two points.

According to this, a set of points on a line can be matched with a set of real numbers, and vice versa. In order to help you better understand the ruler placement postulate, a general overview is provided based on the fact that your question is incomplete.

A ruler is a tool or measuring device that is used to measure length and draw straight lines. A measure is used to determine the length in both measured and conventional units.

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Julius is using the setup below to find the velocity of a wave in the ripple tank. He found the average
wavelength by measuring the distances between the shadow lines. What else does he need to know
in order to calculate the velocity of the waves?

Answers

He need to know in order to calculate the velocity of the waves is time.

What is velocity?

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.

Given in the question,

Velocity =Distance /Time

He need to know in order to calculate the velocity of the waves is time.

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Object A is positive
Object A repels object B
Object B I attracted to objects C and D
When C is touched to an electroscope, nothing happens.
When object D touches an electroscope, the leaves repel.
What are the charges of objects B,C and D? Explain your reasoning. (3 pts)

Answers

The charges on B, C , and D objects are negative, positive and positive respectively.

The electroscope instrument is used to find out whether there is charge present and how much of it there is.

The leaves at the bottom of the electroscope spread apart when a charged object is brought close to the top of the instrument (for example, a positive charge). The positive charge on the leaves has gotten stronger as they diverge more.

This occurs when the charged object imparts a positive charge on the leaves. When the object is positively charged, this is possible. They move farther apart the higher the charge.

The charges on B, C , and D objects are negative, positive and positive respectively.

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A weight lifter lifts a set of weights a vertical
distance of 3.66 m. If a constant net force of 370 N
is exerted on the weights, how much net work is done on the weights?
1.741.3
2. 1214.01
3.431.52
4. 381.92
5.874.68
6. 1179.02
7. 1354.2
8. 1154.56
9. 1509.12
10. 706.85
Answer in units of J.

Answers

Answer:

See below

Explanation:

Work = F * d

        = 370 N * 3.66 m = 1354.2  J

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