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

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Discussion Overview

The discussion revolves around the relationship between g-force experienced by a car during a turn and the displacement of fuel in the tank, as well as a similar scenario with water in a bottle. Participants explore mathematical relations and geometric representations related to this concept.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant introduces the scenario of a car turning at 50 km/h and questions the mathematical relationship between g-force and fuel displacement.
  • Another participant suggests that the problem can be visualized using a triangle formed by the two g-forces, implying a geometric approach to the solution.
  • A subsequent post clarifies that the resulting angle refers to the tilt of the water's surface, prompting questions about the specific g-forces involved.
  • A participant provides a specific example, calculating the angle of tilt based on a lateral g-force of 0.5, using the arctangent function.
  • One participant expresses appreciation for the simplicity of the explanation while acknowledging the complexity of the topic.
  • A later post requests references for further reading on the subject, indicating a desire to deepen understanding.

Areas of Agreement / Disagreement

Participants appear to engage in a constructive exploration of the topic, with no clear consensus or resolution of disagreements present in the discussion.

Contextual Notes

Some assumptions about the definitions of g-force and displacement may not be explicitly stated, and the mathematical steps involved in the calculations are not fully resolved.

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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