Calculation of g force on an bank of an aeroplane

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SUMMARY

The calculation of G force for an airplane with a mass of 79,015 kg, traveling at a velocity of 257.2 m/s while turning uniformly at a radius of 100 meters, results in a force of approximately 52,269,876.376 N. Using the formula f=mv²/r, the acceleration is calculated as 661.51 m/s², leading to a G force of 67.5 g's when divided by the gravitational constant (9.8 m/s²). This analysis highlights the impracticality of such tight turns at high speeds, as the forces involved would likely cause a blackout for passengers.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion (f=ma)
  • Familiarity with the concept of G force and its calculation
  • Knowledge of uniform circular motion and centripetal force
  • Basic grasp of gravitational acceleration (9.8 m/s²)
NEXT STEPS
  • Research the effects of high G forces on human physiology
  • Learn about the limitations of aircraft design regarding turn radius and speed
  • Explore advanced dynamics of flight, including load factors and stability
  • Investigate the mathematical modeling of forces in aviation scenarios
USEFUL FOR

Aerospace engineers, aviation safety analysts, physics students, and anyone interested in the dynamics of flight and the effects of G forces on aircraft performance.

intreates
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can anyone tell me how to calculate G force of an airplane of mass=79015, velocity=257.2 m/s turning uniformly at a radius of 100 meters.
I use the formula as f=mv^2/r
i don't know if its correct but i get an answer of f=52269876.376
then i substituted in the equation f=ma .. and i got a= 661.51 m/sec^2
finally i used G=a/g. i got G= 661.51/9.8
and i got 67.5 g's... please help me with this problem .
 
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And now you know why airplanes do not make such turns when traveling at such high speeds.

Technically, you've only computed the horizontal component of the loading factor. If you had a smaller load, you'd have to combine it with vertical 1g due to gravity. But in this case, it won't make any difference.
 
It's simple: a plane traveling at 257.2 m/s can't turn this tightly without coming apart. Anyone aboard has already blacked out.
 

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