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Math 101 for Pilots

From calculating reciprocal course to stabilized descents, here's a primer of basic mathematics pilots need to know.

Since you can't or shouldn't have your head buried in a calculator when you are flying, it behooves you to be able to do some quick math in your head. [Credit: Shutterstock]
Gemini Sparkle

Key Takeaways:

  • The article emphasizes the importance of pilots performing quick mental calculations for various flight scenarios, especially when electronic aids might fail.
  • It provides practical mental math formulas for calculating essential flight parameters such as reciprocal course (e.g., add 200, subtract 20).
  • Formulas are also given for determining the bank angle for a standard rate turn (indicated airspeed/10 + 5) and the approximate time to climb (altitude difference/500 fpm).
  • A method for calculating a stabilized descent rate is presented (ground speed/2, add a zero to the end), crucial for maintaining glide slope and planning descents effectively.
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Full disclosure: I never enjoyed math class. Especially story problems. They seemed cruel and unusual punishment. My attitude changed when I became a pilot, learned how to use a mechanical E6B and the performance charts in the pilot operating handbook (POH), and learned to fly instruments using the power-performance concept. These were practical applications of story problems.

Since you can’t or shouldn’t have your head buried in a calculator when you are flying, it behooves you to be able to do some quick math in your head. 

Meg Godlewski

Meg Godlewski has been an aviation journalist for more than 24 years and a CFI for more than 20 years. If she is not flying or teaching aviation, she is writing about it. Meg is a founding member of the Pilot Proficiency Center at EAA AirVenture and excels at the application of simulation technology to flatten the learning curve. Follow Meg on Twitter @2Lewski.

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