Calculating Max Speed for 5G Turn in Aircraft

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SUMMARY

The maximum speed of an aircraft fully banked at a 90-degree angle during a turn with a radius of 100 meters and a maximum G-force of 5G is calculated using the formula G = V²/r. The correct calculation yields a maximum speed of approximately 70 meters per second. It is essential to convert the G-force into acceleration units (m/s²) to ensure accurate results. The formula used is V = √(G * r), where G is the gravitational acceleration equivalent of 5G.

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  • Understanding of basic physics principles, particularly centripetal force.
  • Familiarity with the concept of G-forces in aviation.
  • Knowledge of the relationship between speed, radius, and acceleration.
  • Ability to perform unit conversions, specifically from G-forces to m/s².
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  • Study the physics of circular motion and centripetal acceleration.
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  • Explore advanced flight dynamics and the implications of bank angles on aircraft maneuverability.
  • Investigate the calculations involved in determining maximum turn radius and speed for various aircraft types.
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chinook177
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Ok need a bit of help checking I've got this right please.

If an aircraft (Unknown weight) banks into a turn of radius 100m at a bank angle of 90deg ie fully banked into the turn and the max G the plane/pilot can pull is 5G what is the maximum speed the aircraft can travel?

I've worked it out using G = V^2/r

V = √(5*100)
V = 70 mps

Cheers
 
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chinook177 said:
... at a bank angle of 90deg ie fully banked ...

IMHO if the lift force of the plane is at right angles to the plane of the wings and the plane is fully banked. what force will support the weight of the plane?
 
chinook177 said:
Ok need a bit of help checking I've got this right please.

If an aircraft (Unknown weight) banks into a turn of radius 100m at a bank angle of 90deg ie fully banked into the turn and the max G the plane/pilot can pull is 5G what is the maximum speed the aircraft can travel?

I've worked it out using G = V^2/r

V = √(5*100)
V = 70 mps
You have to convert 5G to an acceleration with units in m/sec^2. I assume you have done this because √(5*100)≠70 and 70 is the right answer.

AM
 

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