What is the wind triangle in aviation?

The wind triangle is a vector diagram that relates an aircraft's heading and true airspeed, the wind vector, and the resulting track and groundspeed.

How do you use the wind triangle for navigation calculations?

You use the wind triangle to determine the required heading and expected groundspeed by graphically or mathematically combining the aircraft's motion and the wind vector.

What is the wind correction angle (WCA)?

The wind correction angle is the angle you must steer into the wind to maintain your desired track over the ground.

Why is groundspeed different from true airspeed in wind?

Groundspeed is affected by wind: headwinds decrease it, tailwinds increase it, and crosswinds require a heading correction to maintain track.

Which tools are commonly used for wind triangle calculations in exams?

Mechanical flight computers like the CRP-5 or Jeppesen models are standard for solving wind triangle problems in ATPL exams.

Wind Triangle

Hard4 min readGeneral Navigation

Rarely Examined

Why this matters

Understanding the wind triangle is crucial for pilots to maintain accurate navigation, compensate for wind drift, and ensure safe and efficient flight paths. It directly impacts fuel management, arrival times, and the ability to avoid navigational errors in real-world flying.

The wind triangle, also called the triangle of velocities, is a fundamental navigation tool in aviation. It graphically represents the relationship between an aircraft's heading and true airspeed, the wind's direction and speed, and the resulting ground track and groundspeed. Mastering wind triangle calculation is essential for accurate dead reckoning and wind correction, ensuring you fly the intended path over the ground.

Quick Check

An aircraft has a true track of 090°T, a heading of 085°T, a TAS of 180 kt, and a groundspeed of 160 kt. What is the approximate wind affecting the aircraft?

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Explanation

What is the Wind Triangle?

The wind triangle is a vector diagram used to resolve the effects of wind on an aircraft's flight path. It connects three key vectors:

Heading and True Airspeed (TAS): The direction and speed of the aircraft through the air.
Wind Vector: The speed and direction of the wind relative to the ground.
Track and Groundspeed (GS): The actual path and speed of the aircraft over the ground.

How to Use the Wind Triangle

To solve wind triangle problems, pilots use navigation computers (like the CRP-5 or E6B) or manual plotting. The process typically involves:

Plotting the Aircraft's Heading and TAS as one vector.
Adding the Wind Vector (from the reported wind direction and speed).
Finding the Resultant Vector (track and groundspeed) by completing the triangle.

This graphical method allows you to determine:

The wind correction angle (WCA) needed to maintain a desired track.
The actual groundspeed after accounting for wind.
The drift angle between heading and track.

Wind Triangle Example

Suppose your desired track is 090°T, TAS is 120 kt, and the wind is from 030°T at 20 kt. By constructing the wind triangle, you can determine the required heading to maintain 090°T and calculate the resulting groundspeed.

Calculating Wind Components

Using trigonometry or a navigation computer, you can also break the wind into headwind/tailwind and crosswind components. This is vital for performance calculations and safe flight planning.

Practical Application

Wind triangle calculations are used in dead reckoning, flight planning, and in-flight navigation corrections. They underpin accurate ETA predictions, fuel planning, and safe route adherence.

The essentials

Key Points

The wind triangle links heading/TAS, wind vector, and track/groundspeed.

It is solved using vector addition, either graphically or with a navigation computer.

Knowing any two vectors allows you to solve for the third (e.g., find wind if you know heading, TAS, track, and groundspeed).

Wind correction angle (WCA) is the difference between heading and track due to wind.

Groundspeed is affected by both headwind/tailwind and crosswind components.

Accurate wind triangle calculation is vital for dead reckoning and flight planning.

Mechanical computers like the CRP-5 are standard tools for wind triangle problems in exams and real flight.

Watch out

Exam Traps & Typical Mistakes

Confusing heading with track—remember, heading is the direction the nose points, track is the actual path over the ground.

Mixing up wind direction (where the wind is coming from) with track or heading.

Using indicated airspeed instead of true airspeed in calculations.

Forgetting to apply the correct wind at the appropriate altitude (e.g., using the wrong wind for climb or descent problems).

Misreading the navigation computer scales, especially when marking drift or wind speed.

Test yourself

Example Exam Questions

Question 2Medium

If your desired track is 180°T, wind is 270°T/30 kt, and your TAS is 120 kt, what heading should you fly to maintain the track and what will be your groundspeed?

Question 3Easy

What does the wind triangle allow you to determine in navigation?

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