You are piloting a General Aviation aircraft (e.g. Cessna 172) over the Georgia Tech campus in level flight at 3000 ft altitude. Your airspeed indicator shows that the true airspeed is 100 knots. You have trimmed the aircraft to have no sideslip and pitch angle at a 3 degree angle of attack. Your magnetic compass (which is uncorrected for magnetic variation) indicates that you are flying in the direction of local magnetic East. A local weather forecast predicted the winds to be steady at 10 knots coming exactly from the northeast direction at the time you took off.
a. Using the information provided above and any additional information you may require (state what it is), determine your aircraft's north and east velocity components, Vn and ve, in knots. Starting from Tech Tower at t = 0, you continue in this direction and you are planning to fly directly over a local VOR beacon exactly 10 minutes later. However, you note that you don't pass directly over the beacon and after 10 minutes and 15 seconds have elapsed you are exactly 300 meters away from the VOR beacon in the Easterly direction.
b. Assuming the discrepancy is attributable only to wind speed, estimate the actual average wind speed components, Vwind-n and Vwind-e in knots. Use a flat Earth approximation.
c. Based on the instruments you are using, describe 3 common causes of measurement error that could affect the output of either sensor.

Answers

Answer 1

Answer:

a)  vₓ = 100 + 7.07 = 107.07 knot     (East) ,   v_{y} = 7.07 knot            (North)

b) v_wind_ North = 0 ,   v_wind_West = 61.12 knot      (West)

Explanation:

a) This is a vector velocity addition problem, they tell us that the plane goes East at 100 Knots and the wind goes North East at 10 Knots

the components ask the total speed of the plane.

For this we decompose the wind speed

            cos 45 = v₂ₓ / V₂

            sin 45 = [tex]v_{2y}[/tex] / v₂

            v₂ₓ = v₂ cos 45

           v_{2y} = v₂ sin 45

            v₂ₓ = 10 cos 45 = 7.07 m / s

            v_{2y} = 10 sin45 = 7.07 m / s

the speed of the plane is

            vₓ = v_plane + v₂ₓ

            v_{y} = v_{2y}

            vₓ = 100 + 7.07 = 107.07 knot     (East)

            v_{y} = 7.07 knot            (North)

speed is

            v = (107.07 i ^ + 7.07 j ^) knot

b) Estimated time for Target VOR t = 10 min

for a time of t = 10 min and 15 s, it is at a distance of d = 300 m from the VOR in an easterly direction

find the average speed of time on the ride

in the North direction there is no deviation so the average wind speed is zero

            v_wind_ North = 0

In the east direction

as the estimated time was 10 min and the real time for the distance is 10 min 15 s

the time difference is t = 15 s to travel d = 300 m

with these data we can calculate the speed of the plane

              v = x / t

              v = 300/15

              v = 20 m / s

let's reduce this speed to knot

             v_real = 20 m / s (1knot / 0.5144 m / s) = 38.88 knots

therefore the wind speed is

              v_tral = v_plane + v_wind_Este

              v_wind_Este = v_real - v_avión

               v_wind_Este = 38.88 - 100

                v_wind_Este = -61.12 knot

the negative sign indicates that the wind is going west

                v_wind_West = 61.12 knot (West)

3)

* The compass is not calibrated, to correct the magnetic deviation, therefore it gives an appreciable error in the direction

* The wind speed is taken when leaving, but there is no constant monitoring, so a change in direction or wind speed in the trajectory can significantly affect the results.

* The aircraft may noir throughout the trajectory at level, due to pitch errors


Related Questions

Protons and ____ have electric charge?

Answers

Electronssssssssssssssssssssssssssss
i believe it’s electrons

Which best describes the relationship between the terms frequency wavelength and hurts

Answers

Answer:

:-)}:‑)B-):-\:-*:'(:-|:‑X;-):-*:-\:-*

When a space shuttle was launched, the astronauts onboard experienced an acceleration of 32.0 m/s2 . If one of the astronauts had a mass of 40.0 kg, what net force in newtons did the astronaut experience?

Answers

Answer:

F = 1280 N

Explanation:

Given that,

Acceleration experienced by a space shuttle, a = 32 m/s²

Mass of the astronauts, m = 40 kg

We need to find the force experienced by the astronaut.

We know that the net force is equal to the product of acceleration and its mass. So,

F = ma

F = 40 kg × 32 m/s²

So,

F = 1280 N

So, 1280 N of force is experienced by the Astronaut.

Your cousin has looked after you your whole life and you always looked up to him. Today he told you he sells drugs; " That's where I get all the money for clothes and stuff. " He asked, Do you want to go into business with me you will make great money?" What do you do/say to him? Use the decision-making process. *

Answers

Answer:

Honestly, you should have a firm resolve not to go into drug peddling.

Politely tell him you are not interested in the business, that you are most concerned about your future and the career path you have chosen for yourself already.

He will definitely feel bad, but you can go on to advise him.

You can also advise him to stop and highlight the dangers of doing drugs.

Explanation:

There are a whole lot of disadvantages involved in the drug business,

in fact, the disadvantages out weights the advantages in the long run.

say if one is caught and sent to a life long sentence, or if one is caught up with the effect of the use of hard drugs and the health implication, to the extent that one looses his/her sanity, you see it won't make any sense anymore doing drugs in the long run. so friend you can advise you cousin to stop and thinker of good businesses that cold fetch him cool money, without the law chasing him, with that he can be a contributor to economic growth by paying his taxes too

A 75 kg man stands in an elevator. What will be the force that the elevator exerts on him when
a) the elevator is at rest? ;
b) the elevator is moving upwards with a uniform acceleration of 3.2 m/s"?
c) moving downwards with an acceleration of 2.0 m/s ?

Answers

Answer:

a is the answer I think so

A cannon is fired straight up into the air. If the cannon ball comes back down to the launch point in 5 seconds, what was the maximum height reached by the ball? ​

Answers

Answer:

30.63 m

Explanation:

From the question given above, the following data were obtained:

Total time (T) spent by the ball in air = 5 s

Maximum height (h) =.?

Next, we shall determine the time taken to reach the maximum height. This can be obtained as follow:

Total time (T) spent by the ball in air = 5 s

Time (t) taken to reach the maximum height =.?

T = 2t

5 = 2t

Divide both side by 2

t = 5/2

t = 2.5 s

Thus, the time (t) taken to reach the maximum height is 2.5 s

Finally, we shall determine the maximum height reached by the ball as follow:

Time (t) taken to reach the maximum height = 2.5 s

Acceleration due to gravity (g) = 9.8 m/s²

Maximum height (h) =.?

h = ½gt²

h = ½ × 9.8 × 2.5²

h = 4.9 × 6.25

h = 30.625 ≈ 30.63 m

Therefore, the maximum height reached by the cannon ball is 30.63 m

Which is one property of coal that makes it ideal for use in a power plant?
It burns easily.
It makes ash.
It is renewable.
It contains mercury.

Answers

Answer:

It burns easily & It produces a lot of energy

Explanation:

Coal burns easily and thus is ideal for use in a power plant.  

• To generate electric power in the United States, the main fuel used is coal.  

• It is used as it is burned easily and thus producing enormous amount of energy.  

• In the power plants, the lignite, bituminous coal, or subbituminous coal is burned.  

• The heat generated by the burning of the coal is used to transform water into high pressure steam that mediates a turbine, which generates electricity.  

• About 23 percent of the electricity in the United States is produced by the burning of coal.  

Thus, the correct answer is that coal burns easily.

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The diagram below shows a simplified floor plan for a small house. As the day goes on and the sun begins to set the rooms on the west side of the house grow warmer than the rooms on the east side as shown by the temperatures in each room.
The doors between the rooms are open. Which of the following most likely describes the direction of heat flow through the house and the effect of the great flow on temperature?
The options are in the picture please help i’ll give brainliest!!!

Answers

Answer:

Your answer is C! :D

Explanation:

From Room 1 to Rooms 2 and 3 until all rooms are about 27°C. The correct option is C.

What is heat flow?

The movement of heat (energy) from the interior of the Earth to the surface is referred to as heat flow.

The majority of the heat is generated by the cooling of the Earth's core and the generation of radioactive heat in the upper 20 to 40 km of the Earth's crust.

The direction of heat flow is determined by the temperature difference between the bodies. Heat is transferred from a hotter body to a colder one.

As the illustration depicts a simplified floor plan for a small house. As the day progresses and the sun sets, the rooms on the west side of the house become warmer than the rooms on the east, as evidenced by the temperatures in each room.

The direction of heat flow through the house, and the effect of the large flow on temperature, will be from Room 1 to Rooms 2 and 3, until all rooms are around 27°C.

Thus, the correct option is C.

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PICTURE ABOVE !
What could the mother do to make sure each of her kids follows her "cookie rule"?

Answers

Answer:

she should ve the one handing out the cookies each day, to make sure each child gets only one cookie a day.

a hot air balloon weighing 30N is tied to the ground by a string to prevent from floating off the ground. The volume of the balloon is 20m³ and the density of air is 1.3kgm-³. find fhe force exerted by the rope on the balloon​

Answers

Answer:

The force exerted by the rope is FT = 225.06 [N]

Explanation:

In order to solve this problem we must use a static analysis, since Globe does not move. For a better understanding in solving this problem, a free body diagram with the forces acting on the globe is attached.

The buoyant force acts upward as it causes the balloon to tend to float, the weight of the balloon tends to lower the balloon and the downward tension force does not allow the balloon to float

The buoyant force is defined by the following equation:

FB = Ro*V*g

where:

FB = Buoyant force [N]

Ro = density of the air = 1.3 [kg/m^3]

V = volume of the balloon = 20 [m^3]

g = gravity acceleration = 9.81 [m/s^2]

FB = 1.3*20*9.81 = 255.06 [N]

Now we do a sum of forces equal to zero in the y-axis

FB - 30 - FT = 0

255.06 -30 = FT

FT = 225.06 [N]

in which of the following media does sound travel faster?

Answers

Answer:

Sound travel faster through the medium of solid.

The rotational analogue of force is moment of force, also called torque.

a) The turning effect of force is maximum when the angle between R and F is.--------

b) A wheel starting from rest acquires an angular velocity of 10 rad/s in two seconds. The moment

of inertia of the wheel is 0.4 kg m 2 . Calculate the torque acting on it.

c) The possibility of falling backward with the ladder is more when you are high up on the ladder

than when you just begin to climb. Explain why.

Answers

Answer:

the inertia would be the force equal mass times the acceleration

10 thieworhet

Explanation:

what is the force when ur pulling heavy furniture that wont budge

Answers

Answer:

Gravity? is it multiple choice?

How much work is done (in Joules) by a weightlifter in raising a 60-kg barbell from the floor to a height of 2m? Work done =

Answers

Answer:

1176 Nm or J

Explanation:

W = F*d

F = 60kg * 9.8 kgm/s^2 = 588 N

W = 588 N * 2m = 1176 N*m

The formula for calculating work is Work = Force Distance. The SI unit for work is the joule (J) or Newton meter (N m). One joule is the amount of work done when one Newton of force moves a one-meter object.

1176 N × m = work

What is a work done?The formula for calculating work is Work = Force Distance. The SI unit for work is the joule (J) or Newton meter (N m). One joule is the amount of work done when one Newton of force moves a one-meter object.The product of displacement and the component of the object's applied force in the displacement direction is the work done by a force. When we push a block with some force'F'and the body moves with some acceleration, we are doing work.

When energy is transferred from one store to another, work is performed. When a force causes an object to move, work is done.

W = F.d

F = 60kg × 9.8 kgm/s²= 588 N

W = 588 N × 2m = 1176 N × m.

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2.389 x 10^5 mi . Convert this distance to standard form.

Answers

Answer:

238 900 miles

Explanation:

google said it.

An automobile accelerates from rest 5.0m/s ever second. How far does it travel after 3.0 s

Answers

Answer:

30 m

Explanation:

the answer to this question is 30

Which best describes a reference frame?

Answers

Answer: A system or frame of reference are those conventions used by an observer (usually standing at a point on the ground) to be able to measure the position and other physical magnitudes.

Answer:

C a position from which something is observed

om edu 2021

Explanation:

A car travels 45 km due north and 70 km west. What is the car's displacement? 6 points 24.7 km northeast 83.2 km northwest 76.5 km northwest 115 km north

Answers

Answer:

3150

Explanation:

if if you were two times 45 times 70 it would give you that answer

1. A tourist accidentally drops a camera from a 40.0 m high bridge and it falls for 2.85 seconds. If g = 9.81 m/s2 and air resistance are disregarded, what is the speed of the camera as it hits the water?

I NEED HELP plsssss

Answers

Answer:

28 m/s

Explanation:

vf^2=vi^2+2a(delta y)

=sqrt(2* -9.8 m/s^2* -40 m)

=28 m/s

Determine whether the following statements are true or false and give an explanation or counter example. a. If the acceleration of an object remains​ constant, then its velocity is constant. b. If the acceleration of an object moving along a line is always​ 0, then its velocity is constant. c. It is impossible for the instantaneous velocity at all times atb to equal the average velocity over the interval atb. d. A moving object can have negative acceleration and increasing speed.\

Answers

Answer:

A.) False

B.) True

C.) True

D.) False

Explanation:

a. If the acceleration of an object remains​ constant, then its velocity is constant. False because if velocity is constant, acceleration will be equal to zero.

b. If the acceleration of an object moving along a line is always​ 0, then its velocity is constant. Yes. According to definition of acceleration, saying it is the rate of change of velocity. So if velocity is not changing, acceleration = 0

c. It is impossible for the instantaneous velocity at all times at b to equal the average velocity over the interval at b. Yes. Because of constant velocity

d. A moving object can have negative acceleration and increasing speed. False. Because when an object is coming to rest velocity is always reducing.

We eat pizza from the inside out???

Answers

Answer:

what

Explanation:

what I dont get it??

Answer:

that makes me confused I don't think of pizza the same again LOL

Francesco, a pizza chef preparing the dough for your pizza is throwing it to expand it. In this process, you notice that a chunk of it comes off, flying separately from the rest and on to the floor. If Francesco is 6 feet and 3 inches tall, and the chunk flies off vertically straight up from this height at a speed of 1 m/s, with what speed does the chunk hit the ground?

Answers

Answer:

6.12 m/s

Explanation:

In order to solve this we have two parts of this problem, first we have the time that the pizza dough spent going upwards and after that we have a free fall from there, so we will use the free fall formula after we figured out whats the final height the dough reached after being thrown from Francesco's height which is 6ft3inches or 1.90 meters

We first have to find out how much time the dough spent in the air before reaching 0 as final speed and then started the free falling:

The formula would be:

[tex]Vf=Vo-at\\0=1-(-9.81t)\\1=9.81t\\t=\frac{1}{9.81}\\t=.101[/tex]

The formula to find out final height would be:

[tex]y = \frac{ h + Vy (t-gt^{2})}{2} \\[/tex]

Now we just insert the values we know

[tex]y = h+ \frac{ Vy (t-gt^{2})}{2} \\\\y = 1.90 +\frac{ .101-(-9.81)(.101)^{2})}{2} \\\\y=1.91[/tex]

So from 1.91 meteres the free fal started we have to just calculate the final velocity with the formula for free fall and velocity:

[tex](vf)^{2} =Vo^2 +2ad[/tex]

Since Vo is 0 because we are talking about free falling we just insert the values we know:

[tex](vf)^{2} =Vo^2 +2ad\\(vf)^{2} =2ad\\(vf)^{2} =2(9.81)(1.91)\\vf=\sqrt{37.4742} \\Vf=6.12m/s[/tex]

So the final speed that the dough hit the ground with is 6.12 m/s

Which of the following is a scientific law?

A. No one is allowed to operate a motor vehicle unless that person is over the age of 16 and passes a driving exam.

B. For a gas in a closed container at a constant temperature, the product of the pressure and the volume remains constant.

C. No one is allowed to take the property of anyone else without their permission.

D. All cars must stop at red lights and move through an intersection when the light is green.

Answers

Answer:

B. For a gas in a closed container at a constant temperature, the product of the pressure and the volume remains constant.

Explanation:

The rest are societal laws, as they are telling you something you should avoid or follow.

Hope this helps :)

B: For a gas in a closed container at a constant temperature, the product of the pressure and the volume remains constant.

What year did Clara Baer invent Nukem/Newcomb ball?

Answers

Answer:

1895

Explanation: it was invented in 1895 by Clara Berra a physical education instructor at Sophie Newcomb College.

Answe Clara Baer invented Nukem/Newcomb ball in the year of 1895.

Explanation:Have a blessed day!

____ can be calculated if you know the distance that an object travels in one unit of time.

A.motion
B.meter
C.Rate
D.Speed
E.velocity
F.slope
G.refrence point

PLS HELP NOW !!!

Answers

Answer:

D.Speed

Explanation:

The speed of an object is the distance the object travels in one unit of time.

Speed can be calculated if you know the distance that an object travels in one unit of time, therefore the correct answer is option D.

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.

The unit of speed is a meter/second. The generally considered unit for speed is a meter per second.

Thus, Speed can be calculated if you know the distance that an object travels in one unit of time, therefore the correct answer is option D.

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Displacement consists of

Answers

Answer:

The displacement of a body has two components: rigid-body displacement and deformation. A rigid-body displacement consists of a simultaneous translation and rotation of the body without changing its shape or size.

Hope this helps :)

7. An auto's velocity increases uniformly from 3m/s to 25m/s while
covering 90m. Calculate the acceleration. *

Answers

Answer:

  3.422 m/s^2

Explanation:

A useful relation is ...

  v2^2 -v1^2 = 2ad

  (25 m/s)^2 -(3 m/s)^2 = 2a(90 m)

  (616 m^2/s^2)/(180 m) = a ≈ 3.422 m/s^2

The acceleration is about 3.422 m/s^2.

a ball is thrown downward with an initial speed of 7 m/s. the ball's velocity after 3 seconds is ____ m/s (g= -9.8m/s^{2}

Answers

The speed downwards is 7 + (3*9.8)
7+ 29.4 = 36.4 m/s

10. A boy runs 5 miles East then turns around and runs 7.5 miles West. What is
his displacement?

Answers

Answer:

2.5

Explanation:

The suffix used to name a monatomic anion is
O A. ite
O B. ide
O C. anion
O D. ate

Answers

The answer is B.ide I looked it up on google hope this help and sorry if it was late
The answer is B . Just took the quiz. IDE
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