Transport & Manufacturing
Aircraft Turn Radius & Rate of Turn (Standard Rate 3 deg/sec)
Calculate aircraft turn radius & rate of turn (standard rate 3 deg/sec) using the stated engineering or scientific relationship and adjustable field inputs.
Preparing your result…
What this calculator does
Calculates Aircraft Turn Radius & Rate of Turn (Standard Rate 3 deg/sec) using the formula verified against the cited source.
What your result means
An estimate from the inputs you enter, within the scope stated below — not advice.
Formula
Coordinated level turn: r = V² ÷ (g·tan φ); rate ω = g·tan φ ÷ V (V in m/s); bank for standard rate φ = atan(3°/s in rad × V ÷ g)
The step-by-step working for your own numbers appears with the result above and in the PDF report.
Frequently asked questions
Symbols and assumptions
- Inputs
- The values entered in the fields above
- • Coordinated level turn: radius r=V²/(g tan|bank|); angular rate |ω|=g tan|bank|/V. Use V m/s for r m and ω rad/s, then convert rate to degrees/s. Common US approximation r(ft)=V(knots)²/[11.26tan|bank|].
Sources and review
Reviewed 2026-10-18 · Next review 2027-04-18
- • Add the missing turn-rate output and explicit unit conversions. Standard rate is 3°/s; it is not guaranteed by an arbitrary bank. Solve bank=atan[(3π/180)V/g] to find the ideal required angle. Requires positive speed; zero bank has zero rate and infinite radius. Wind changes ground track.
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
Quick reference
| Scenario | True airspeed (kt) | Bank angle (°) | Turn radius |
|---|---|---|---|
| Worked example | 120 | 25 | 833.3846 m |
| Half the amounts | 60 | 12.5 | 438.2307 m |
| Double the amounts | 240 | 50 | 1,304.3422 m |
Need the full picture? Get the detailed PDF report with charts, tables, formulas and working steps.
Reviewed 2026-10-18 · Next review 2027-04-18
Report a mistake or request an improvement
Tell us if a formula, unit, explanation, or result needs attention. Your message will include this calculator’s name and page.
Related calculators
Aircraft Center of Gravity (CG) Weight and Balance Envelope Sizer
Calculate aircraft center of gravity (cg) weight and balance envelope using the stated engineering or scientific relationship and adjustable field inputs.
Aircraft Glide Range & Glide Ratio without Engine Power Sizer
Calculate aircraft glide range & glide ratio without engine power using the stated engineering or scientific relationship and adjustable field inputs.
Aircraft Payload-Range Fuel Trade-off Maximum Takeoff Weight
Calculate aircraft payload-range fuel trade-off maximum takeoff weight using the stated engineering or scientific relationship and adjustable field inputs.
Aircraft Stall Speed Adjustment for Bank Angle Load Factor ($1/\cos\theta$)
Calculate aircraft stall speed adjustment for bank angle load factor ($1/\cos\theta$) using the stated engineering or scientific relationship and adjustable field inputs.
Aircraft True Airspeed (TAS) from Calibrated Airspeed (CAS) & Alt
Calculate aircraft true airspeed (tas) from calibrated airspeed (cas) & alt using the stated engineering or scientific relationship and adjustable field inputs.
Aviation Top of Descent (3:1 Rule) Distance & Rate of Descent (FPM)
Calculate aviation top of descent (3:1 rule) distance & rate of descent (fpm) using the stated engineering or scientific relationship and adjustable field inputs.
Namaste! Did this Aircraft Turn Radius & Rate of Turn (Standard Rate 3 deg/sec) help you?
Aapka ek click humein behtar banata hai. Just tap a star, no sign-in, no typing.