What is the Formula for Calculating Gauge Pressure of Tires?

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SUMMARY

The formula for calculating gauge pressure in tires is derived from the relationship between force, area, and pressure. In this case, the total weight of the car, 1142 kg, is distributed equally across four tires, each with a contact area of 96.5 cm². The pressure can be calculated using the formula: Pressure = Force / Area, where Force is the weight of the car divided by the number of tires. Therefore, the required gauge pressure for each tire is determined by converting the weight into force (using gravity) and dividing it by the contact area.

PREREQUISITES
  • Understanding of basic physics concepts such as force and pressure.
  • Familiarity with the formula for calculating pressure (Pressure = Force / Area).
  • Knowledge of unit conversions, specifically converting kg to Newtons.
  • Ability to perform calculations involving area measurements in cm².
NEXT STEPS
  • Learn about the relationship between weight, mass, and force in physics.
  • Study the principles of pressure in fluids and gases.
  • Explore unit conversion techniques, particularly for mass and area.
  • Investigate applications of pressure calculations in automotive engineering.
USEFUL FOR

Students studying physics, automotive engineers, and anyone interested in understanding tire pressure calculations and their implications for vehicle performance.

furiousd
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Homework Statement



The weight of a 1142-kg car is supported equally by the four tires, which are inflated to the same gauge pressure. What gauge pressure is required so the area of contact of each tire with the road is 96.5 cm^2?

W = 1142 kg
A = 96.5 cm^2

Homework Equations



No idea

The Attempt at a Solution



None.


Can someone lead me in the right direction for this question? Any hints? I've never seen a question like this before
 
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You can draw a free body diagram of the tyres(assumed massless) and represent the forces. You know it is in equilibrium.
The clincher: Pressure = Force*Area
 
Oh so sorry. Its force = pressure*area.
 

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