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Wind Components Relative to Heading

Wind Components Relative to Heading: explicit inputs, a worked example and clearly stated assumptions.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

kn
Enter wind speed in kn.
°
Enter wind-from bearing in °.
°
Enter reference heading in °.

Formula

headwind=V cos(wind-from−heading); right-side crosswind=V sin(wind-from−heading).
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Bearings must use the same true or magnetic reference. Educational vector decomposition, not an operational clearance or aircraft limit check.

Example Calculation

Example inputs
  • Wind speed: 20 kn
  • Wind-from bearing: 90 °
  • Reference heading: 0 °

Wind from 090° at 20 kn across a 000° heading gives 20 kn from the right and zero headwind.

Frequently asked questions

How do I use this calculator?

Enter wind speed, wind-from bearing, reference heading. The result updates automatically. Use Reset to restore the example values.

What method does it use?

headwind=V cos(wind-from−heading); right-side crosswind=V sin(wind-from−heading).. Bearings must use the same true or magnetic reference. Educational vector decomposition, not an operational clearance or aircraft limit check.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.