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how is vx and vy calculated

by Ruby McKenzie IV Published 3 years ago Updated 2 years ago

  • Horizontal velocity component: Vx = V * cos (α)
  • Vertical velocity component: Vy = V * sin (α)
  • Time of flight: t = 2 * Vy / g.
  • Range of the projectile: R = 2 * Vx * Vy / g.
  • Maximum height: hmax = Vy² / (2 * g)

Calculate the components of velocity.
The horizontal velocity component Vx is equal to V * cos(α) . The vertical velocity component Vy is equal to V * sin(α) .
Oct 5, 2021

Full Answer

What is the ratio between VX and Vy?

So V versus t should be a constant, 0.5 at any given moment in time, but Vx and Vy are changing, they always end up at V = 0.5 but the ratio changes between them would change. Ok I will try to expain it again. The motion is two (actually three dimensional, but for simplicity I am keeping it to 2 for now).

How do you calculate VX and Vy time of flight?

Time of flight: t = 2 * Vy / g. Range of the projectile: R = 2 * Vx * Vy / g. Does VX and VY change with weight? Yes, both will vary.

What happens when VX and Vy meet?

The Absolute Ceiling: Where Vx and Vy Meet At this altitude, the power available curve crosses through the lowest point of the power required curve. Now you can't climb anymore because you're out of excess power. At the absolute ceiling, your Vx and Vy are the same speed.

How do you calculate power required for VX?

So, you can compute power required by multiplying your total drag (force required) by your airspeed (distance over time). Power Required = Thrust Required X Airspeed. Click to see full answer. In this way, what is the difference between VX and VY? Vx is the slowest (IAS), and is the Maximum ANGLE of climb.

How do you find VY?

22:1628:11Introduction to Projectile Motion - Formulas and Equations - YouTubeYouTubeStart of suggested clipEnd of suggested clipNow just like last time we mentioned earlier in this video we've got to find the vertical velocityMoreNow just like last time we mentioned earlier in this video we've got to find the vertical velocity as well using this equation. So you need to find v y final. And you know v y initial is basically v

What altitude is VX and VY equal?

10,000 feetEven thought these Figures don't represent a specific airplane you can see that at 10,000 feet Vx equals Vy (both are 75 knots).

Does VX and VY change with weight?

The Heavier You Get, The Faster You Need To Fly For Vy Vy is your best rate of climb speed, and it changes with weight. Most aircraft POHs only publish Vy for max gross weight, and admittedly, Vy doesn't change significantly with weight in most aircraft.

How does VX and VY change with altitude?

3:324:52Why Vx & Vy Change With Altitude - YouTubeYouTubeStart of suggested clipEnd of suggested clipLet's take our indicated airspeed values for VX and V Y and plot how they change with altitude. NowMoreLet's take our indicated airspeed values for VX and V Y and plot how they change with altitude. Now here's the graph that you're probably more familiar with. So why does the best rate of climb line

What is VX vs VY?

VX and VY are arguably the two most important V speeds in all of aviation. VX is the best angle of climb and VY is the best rate of climb. In most cases, VY is used because it gets the plane to altitude the fastest. But if you need to climb more steeply, then VX is the best airspeed to use.

What speed is VX?

VX is known as the 'Best Angle of Climb'. This is the speed that gives you the most altitude in the shortest distance. VY is known as 'Best Rate of Climb'. Gives you the most altitude in the shortest time.

How does wind affect VX and VY?

Vy is altitude gained over time and Vx is altitude gained over distance. This is where it gets confusing; A headwind will affect the climb angle relative to the earth. Extreme example is climbing into a headwind which is equal to your speed.

What is VX in a Cessna 172?

When you get airborne you will pitch for the best angle of climb speed, also known as VX. This is the speed that will get you the most altitude in the shortest distance.

Does VX change with flaps?

Each Flap setting will have it's own Vx and Vy. Both are related to Lift and DRAG, with the higher flap settings having the lower Vx/Vy, with Vx/Vy increasing as flap setting decreases. The actual Angle / Rate of Climb will be decreased in all cases when any flap is used.

Why do VX and VY change?

So, why do Vx and Vy change with altitude? The answer's really simple, and it has to do with how induced drag and parasite drag change as you climb.

What is Vy speed in aviation?

VY. — Best rate-of-climb speed. Delivers the greatest gain in altitude in the shortest time. Flaps and gear up. Decreases as weight is reduced, and decreases with altitude.

What are the V speeds for a Cessna 172?

N12874 C-172 SkyhawkV-SpeedMPHVa: (Maneuvering Speed)112MPHVfe: (Max flap extended speed)100MPHVno: (Max structural cruising speed)145MPHVne: (Never exceed speed)182MPH6 more rows

How to calculate power required?

So, you can compute power required by multiplying your total drag (force required) by your airspeed (distance over time). Power Required = Thrust Required X Airspeed. In America, we use some wonky units for both force and power.

What is total drag?

Total drag is also known as thrust required - the amount of thrust you need to stay level at a specific airspeed. The very bottom of this bowl shaped line is where the aircraft is the most efficient - you get the least drag. But, that's not Vx.

JohnAJohnson Cleared for Takeoff

Given Vs and Vso, is there any way mathematically to calculate Vx and Vy?

Kevin H. Pre-Flight

You'd be better off calculating the ratio of ants and termites to grains of sands on the beach then messing with that calculation... Just google "calculate Vx and Vy" and you'll get your answer.

MAKG1 Touchdown! Greaser!

There are ways to GUESS AT Vx and Vy given Vs0, but they are rules of thumb and should be taken with truckloads of salt. A real airplane designer might not have gotten the memo....

gismo Touchdown! Greaser!

Given Vs and Vso, is there any way mathematically to calculate Vx and Vy?

JohnAJohnson Cleared for Takeoff

Thanks all. I'm adding VGs next week and am trying to understand what impact they will have on Vx and Va. I'm fairly sure Vy shouldn't change but since the stall speed will be about 5 knots lower, I know I can climb out steeper (but don't know how it will actually impact Vx altitude and distance), and should probably lower Va by 5 knots too.

gismo Touchdown! Greaser!

Thanks all. I'm adding VGs next week and am trying to understand what impact they will have on Vx and Va. I'm fairly sure Vy shouldn't change but since the stall speed will be about 5 knots lower, I know I can climb out steeper (but don't know how it will actually impact Vx altitude and distance), and should probably lower Va by 5 knots too.

poadeleted20 Deleted

Given Vs and Vso, is there any way mathematically to calculate Vx and Vy?

How is VX calculated?

Vx is all about excess force (thrust) – but Vy is all about excess power (horsepower). So, you can compute power required by multiplying your total drag (force required) by your airspeed (distance over time). Power Required = Thrust Required X Airspeed.

What is VX in aviation?

VX is the speed at which the airplane achieves the greatest gain in altitude for a given distance over the ground. It is usually slightly less than VY, which is the greatest gain in altitude per unit of time. The specific speeds to be used for a given airplane are stated in the FAA-approved AFM/POH.

What is VX in a Cessna 172?

There are two climbout speeds that we aim for when we’re taking off: best angle of climb ( VX ) or best rate of climb (VY). The PTS stipulates that you use the best rate of climb (VY) for a normal or crosswind takeoff.

What is VX poison?

VX is an extremely toxic synthetic chemical compound in the organophosphorus class, specifically, a thiophosphonate. In the class of nerve agents, it was developed for military use in chemical warfare after translation of earlier discoveries of organophosphate toxicity in pesticide research.

Does VX change with weight?

Vx and Vy change as DA goes up and change with weight. For every 1000′ increase in altitude Vx increases approximately 0.5 mph and Vy decreases 0.66 mph. Also remember Vx & Vy speeds decrease as weight decreases. Vx and Vy can be reduced ½ of the percent of weight reduction.

How do you calculate pressure altitude?

To calculate pressure altitude without the use of an altimeter, subject approximately 1 inch of mercury for every 1,000-foot increase in altitude from sea level. For example, if the current local altimeter setting at a 4,000-foot elevation is 30.42, the pressure altitude would be 3,500 feet: 30.42 – 29.92 = 0.50 in.

Why does VX increase with altitude?

Therefore, dropping straight down from the tangent point (point A) to point B, we find that the best angle of climb speed has increased to 75 knots. And this is the basic reason why Vx increases with altitude.

What is projectile motion? Projectile motion definition

Imagine an archer sending an arrow in the air. It starts moving up and forward, at some inclination to the ground. The further it flies, the slower its ascent is – and finally, it starts descending, moving now downwards and forwards and finally hitting the ground again.

Projectile motion analysis

Projectile motion is pretty logical. Let's assume you know the initial velocity of the object V, the angle of launch α, and initial height h. Our projectile motion calculator follows these steps to find all remaining parameters:

Projectile motion equations

Uff, that was a lot of calculations! Let's sum that up to form the most essential projectile motion equations:

What is the Definition of Projectile Motion?

For an example of projectile motion, let us look at a golfer. Imagine him hitting the ball, blasting it forward and up. The further it moves toward the green, the slower its ascent becomes. It will then start its descent, showing promise for that elusive hole-in-one! Pay attention to the movements that ball made.

Analyzing Projectile Motion

Projectile motion might look complicated, but it involves logic. Once you know the initial velocity ( v ), launch angle ( α ), and initial height ( h ), use the calculator. The calculator uses the following steps to work out the remaining parameters for you. 1. Calculate your velocity components.

Equations for Projectile Motion

After reading the above steps for calculating projectile motion, you might feel frazzled! You won’t remember them all, but these below are important: Launching an object from the ground (initial height h = 0) 1. Horizontal velocity component Vx = V x cos (α) 2. Vertical velocity component Vy = V x sin (α) 3. Time of flight t = 2 x Vy / g 4.

What does V mean in aviation?

V is for Speed. The “V” is from the French word ‘Vitesse’ which means ‘speed’ or ‘rate’. Important aviation Airspeeds are identified and defined using standard terms. Scientists and Engineers refer to Airspeeds as ‘V’ Speeds. Commonly, people think in terms of “Velocity”, and it is a nice memory aid, as “Velocity” begins with “V”.

What happens if you exceed the VNE?

Exceeding the Vne Airspeed can cause uncontrollable and destructive flutter, and cause serious or catastrophic failure of structural components on the aircraft. Aircraft designers include a slight safety margin, but do not risk or rely on this slim margin. The Vne is the Velocity (V) you Never (n) Exceed (e).

What is the VNE in the yellow line?

Flight Operations in the Yellow speed range are to be conducted in Smooth Air only! Vne. The Red Line at the top of the Yellow Arc is the Velocity (V) that you Never (n) Exceed (e). This is the Red Line of the Airspeed Indicator, and the Vne is the Maximum Speed the Aircraft should ever be operated in Smooth Air.

What color are the V speed lines on an airplane?

These are displayed as color-coded arcs and lines located on the face of an aircraft’s airspeed indicator flight instrument. White, Green, Yellow and Red.

What does V speed mean?

V-Speeds are Airspeeds defined for specific maneuvers in specific aircraft at specific configurations. Aircraft designers and manufacturers perform flight tests to help determine performance limitations of aircraft.

What is the V speed indicator on an airplane?

Fortunately, the Airspeed Indicator in your airplane will have some of the more important V-Speeds highlighted or emphasized directly on the dial of the flight instrument. This helps the pilot to visually recognize these V-Speeds and easily determine how close they are to the V-Speeds while in flight.

What does velocity mean in memory?

But, technically “Velocity” is defined as “Speed in a particular direction”. So, as a memory aid, you may loosely think of “V-Speeds” as “Velocity Speeds”, but to be more accurate, the ‘V’ is for ‘Vitesse’.

The Drag Curve

Image
An aircraft has two types of drag, right? Induced drag, which is created by lift, and parasite drag, which is caused by air friction and some other things. (We'll do a post about that later.) Check out this diagram below - it shows induced drag, parasite drag and total drag (the sum of the two): So, at slow speeds, you have more induc…
See more on boldmethod.com

Thrust Available

  • Your propellor can generate the most thrust at a slow speed. Why? Because it's at a high angle of attack. As your airspeed increases, the propellor's angle of attack decreases, and it can generate less thrust. Look at the diagram below - it shows your total drag (the thrust required for level flight), and it shows your maximum thrust available. The amount of power you have available to …
See more on boldmethod.com

Vy - It's All About Power

  • Vx is all about excess force (thrust) - but Vy is all about excess power (horsepower). To figure out where Vy is, you need to draw a power required curve. What's that? Power is work done per unit of time. So, you can compute power required by multiplying your total drag (force required) by your airspeed (distance over time). Power Required = Thrust...
See more on boldmethod.com

Not So Confusing, Huh?!?

  • Now you know! Vx is the speed where you have the most excess force (thrust), and Vy is the speed where you have the most excess power (horsepower). Did you know that Vx and Vy change with altitude? And, they're the same at your maximum ceiling? We'll save that for another post, because too many charts all at once is never a good thing.
See more on boldmethod.com

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