How Do You Calculate Tire Contact Area Using Pascal's Law?

[joe98]

Pascals Law Problem

Homework Statement

You have a vehicle with four tires of 20 cm wide with 2 atm air pressure. Calculate
contact area (cm^2) of each tire on the road. The gross vehicle weight is 1 tonne.

Homework Equations

P=F/A
P=ρgh

The Attempt at a Solution

F=mg=1x10^6x9.8=9.8x10^6

A=F/P
therefore, A=(9.8x10^6)/200000=49m^2

I am not sure if I am right so far,

can u assist me if I am incorreect

cheers

 

[joe98]

Is this method of calculation correct?

 

[gneill]

Homework Statement

You have a vehicle with four tires of 20 cm wide with 2 atm air pressure. Calculate
contact area (cm^2) of each tire on the road. The gross vehicle weight is 1 tonne.

Homework Equations

P=F/A
P=ρgh

The Attempt at a Solution

F=mg=1x10^6x9.8=9.8x10^6

That's a lot of kilograms for a tonne! tonne = 10³ kg.

A=F/P
therefore, A=(9.8x10^6)/200000=49m^2

The method is okay for finding the total contact area. Just fix the tonne value.

 

[joe98]

ooh thnx gneil much appreciated