Question

The total weight of a car with passengers is 30,000N. The area of contact of each of the four tyres with the ground is 0.025m2. Determine the minimum car tyre pressure

Answer 1

The minimum pressure car tire pressure is 300,000 Pa

Step-by-step explanation:

Pressure

It's a measure of the force exerted by an object per unit surface:

`\displaystyle P=(F)/(A)`

Where F is the force applied on a surface area A.

We are given the total weight of a car with passengers as Ft=30,000 N and we also know the area of contact of each tire with the ground as
`A=0.025 m^2`.

The minimum pressure each tire can have is when the total weight is evenly distributed in all four tires, thus F=Ft/4=7,500 N.

Calculating the pressure:

`\displaystyle P=(7,500)/(0.025)`

P=300,000 Pa

The minimum pressure car tire pressure is 300,000 Pa