The four tires of an automobile are inflated to a gauge pressure of 2.2 105 Pa. Each tire has an area of 0.023 m2 in contact with the ground. Determine the weight of the automobile.

Respuesta :

Answer:

Force, F = 20240 N

Explanation:

It is given that,

Pressure exerted by the four tires of an automobile, [tex]P=2.2\times 10^5\ Pa[/tex]

Area of each tire, [tex]A=0.023\ m^2[/tex]

Area of 4 tires,  [tex]A=0.092\ m^2[/tex]

We know that the pressure exerted by an object is equal to the force per unit area. Its formula is given by :

[tex]P=\dfrac{F}{A}[/tex]

[tex]F=P\times A[/tex]

[tex]F=2.2\times 10^5\times 0.092[/tex]

F = 20240 N

So, the weight of the automobile is 20240 N. Hence, this is the required solution.