How to Calculate Tire Contact Area from Weight and Pressure

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SUMMARY

The discussion focuses on calculating the tire contact area for a car weighing 15,000N with a tire pressure of 225KPa. The formula used is A=F/P, where A is the area, F is the force (weight supported by each tire), and P is the pressure. Each tire supports a quarter of the car's weight, resulting in a force of 3,750N per tire. The calculated contact area is 0.01666 square meters, derived by converting pressure from KPa to N/m² and applying the formula correctly.

PREREQUISITES
  • Understanding of basic physics concepts, specifically force and pressure.
  • Familiarity with the formula A=F/P for calculating area.
  • Knowledge of unit conversions, particularly from KPa to N/m².
  • Ability to perform calculations involving significant figures.
NEXT STEPS
  • Research the implications of tire contact area on vehicle handling and performance.
  • Learn about the effects of tire pressure on contact area and vehicle dynamics.
  • Explore advanced calculations involving tire wear and pressure management.
  • Investigate the relationship between weight distribution and tire contact area in different vehicle types.
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Automotive engineers, physics students, and anyone interested in vehicle dynamics and tire performance optimization.

dumguy
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[SOLVED] my anwers does not look right

Homework Statement


A car has a weight of 15000N. If the pressure of each of the tires is observed to be 225KPa, calculate the area of each tire that is in contact with the pavement.


Homework Equations


A=F/P


The Attempt at a Solution



A=0.01666sq.meters
 
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Welcome to PF. Could you show your working an intermediate steps, please. You are more likely to be helped if you do this, since people will be able to follow your working rather than do it themselves.
 
Just learning the language for inputting my equations, exponents and all that.
 
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dumguy said:
I assume that each tire supports 1/4 of the weight of the car and that works out to be 3750N.I convert the tire pressure from 225KPa into N/sq.meters and do the equation A=F/P. This gives me 0.01666sq.meters. All of which I am doing in SI and rounding with significant digits. I just don't know how to type that.

That looks fine to me.
 

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