If each tire of an automobile has an area of .026 square meter in contact with the ground, the weight of the automobile is 26,000 N, what is the pressure in the tires? Please show work.
To find the pressure in the tires, we need to use the formula for pressure, which is given as:
Pressure = Force / Area
In this case, the force is the weight of the automobile, which is given as 26,000 N. The area is the contact area of each tire, which is given as 0.026 square meters.
Now, let's substitute the values into the formula:
Pressure = 26,000 N / 0.026 m²
To calculate this, divide the force (26,000 N) by the area (0.026 m²):
Pressure = 26,000 N / 0.026 m² = 1,000,000 N/m²
Therefore, the pressure in the tires is 1,000,000 N/m².
Note: Another common unit of pressure is pascal (Pa), which is equivalent to N/m². So the pressure in the tires can also be written as 1,000,000 Pa.