Question

The four tires of an automobile are inflated to a gauge pressure of 2.2 ✕ 105 Pa. Each tire has an area of 0.022 m2 in contact with the ground. Determine the weight of the automobile.

Answer 1

`P =(F)/(A)`

And solving for F we got:

`F = PA`

And replacing we got:

`F = 2.2x10^5 Pa * 0.088 m^2 =19360 N`

And if we want the mass we can solve from this formula:

`F =mg`

With g=9.8 m/s^2 the gravity

Step-by-step explanation:

For this case we can find the total area of the 4 tires and we got:

`A = 4*0.022 m^2 = 0.088m^2`

Now we know that the total pressure is:

`P=2.2 x10^5 Pa`

And then we can find the weight with from this formula:

`P =(F)/(A)`

And solving for F we got:

`F = PA`

And replacing we got:

`F = 2.2x10^5 Pa * 0.088 m^2 =19360 N`

And if we want the mass we can solve from this formula:

`F =mg`

With g=9.8 m/s^2 the gravity