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

Answer:

$P =\frac{F}{A}$

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

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:

$P =\frac{F}{A}$

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