What is the Formula for Calculating Gauge Pressure of Tires?

AI Thread Summary
To calculate the gauge pressure required for the tires of a 1142-kg car with a contact area of 96.5 cm² per tire, one must understand the relationship between pressure, force, and area. The total weight of the car is distributed equally among the four tires, meaning each tire supports a quarter of the total weight. The formula for pressure is derived from the equation Force = Pressure × Area, which can be rearranged to Pressure = Force / Area. By calculating the force exerted by each tire and dividing it by the area of contact, the required gauge pressure can be determined. This approach provides a clear method for solving the problem.
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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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