Can G-Force and Displacement Predict Fuel Consumption in a Turning Car?

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SUMMARY

The discussion centers on the relationship between g-force and fuel displacement in a car navigating a 90-degree turn at 50 km/h. Participants explain that the lateral g-force can be represented mathematically using trigonometric functions, specifically the tangent function, to determine the angle of the fuel surface tilt. For instance, a lateral g-force of 0.5 results in a tilt angle of 26.6 degrees, calculated using the formula atan(0.5/1). The conversation highlights the simplicity and elegance of this mathematical approach while also acknowledging its complexity.

PREREQUISITES
  • Understanding of basic physics concepts, particularly forces and motion.
  • Familiarity with trigonometric functions, specifically tangent and arctangent.
  • Knowledge of g-force measurement and its implications in automotive dynamics.
  • Basic mathematical skills for calculating angles and interpreting results.
NEXT STEPS
  • Research the effects of lateral g-forces on vehicle stability during turns.
  • Explore advanced topics in automotive physics, such as weight transfer and its impact on handling.
  • Study the mathematical modeling of fluid dynamics in partially filled containers.
  • Read reference books on vehicle dynamics and physics, focusing on g-forces and their applications.
USEFUL FOR

Automotive engineers, physics students, and anyone interested in understanding the dynamics of vehicles during turns and the effects of g-forces on fuel displacement.

ca2n
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hi..just discovered this forum..very nice indeed..i was wondering if somebody could help me on something here..imagine that a car is traveling at 50km/h through a 90-degree right-hand turn..my question is is there any mathematical relation relating how much the g-force he encounters and the "displacement" of fuel in the fuel tank..or water that is half-full in a water bottle..tq..
 
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Yes, it is a simple matter of drawing a triangle witht he two g-forces as two legs and computing the resulting angle.
 
so, the resulting angle is the angle at which the top surface of the water is tilted? what are the two g-forces? the ones acting on the car?
 
Right. So, for example, if the lateral g-force on the car is .5, the angle is atan (.5/1)=26.6 degrees.
 
Neat, thanks Rus. Never thought of that. Simple and elegant.
 
wow..simple and complicated at the same time..i was also wondering if you any reference books in particular regarding this topic..i guess i need to catch up on my reading..
 

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