An automobile weighing 1.06 104 N has weight equally distributed over its wheels. The weight of the car causes each tire to be slightly flattened on the bottom so that there is a surface area in contact with the road. The gauge pressure of the air in the tire is 1.91 105 Pa (27.695 lb/in2). Find the area of contact, assuming that the only forces on the section of tire in contact with the road are the air pressure and the normal force exerted by the surface of the road.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
An automobile weighing 1.06 104 N has weight equally distributed over its wheels. The weight of the car causes each tire to be slightly flattened on the bottom so that there is a surface area in contact with the road. The gauge pressure of the air in the tire is 1.91 105 Pa (27.695 lb/in2). Find the area of contact, assuming that the only forces on the section of tire in contact with the road are the air pressure and the normal force exerted by the surface of the road.
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