The four tires of an automobile are inflated to an absolute pressure of 200000 Pascals. Each tire has an area of 0.024 m^2 in contact with the ground. Determine the weight of the automobile.
weight= areacontact*number tires*gauge pressure.
why would you use the guage pressure in this case and not the absolute pressure?? im confused
To determine the weight of the automobile, we need to find the force exerted by each tire and then multiply it by the number of tires.
We can find the force exerted by each tire using the equation:
Force = Pressure * Area
Given:
Absolute pressure = 200,000 Pascals
Area = 0.024 m^2
Substituting the values into the equation:
Force = 200,000 Pascals * 0.024 m^2
Calculating the force exerted by each tire:
Force = 4,800 Newtons (approximately)
Since each tire exerts a force of 4,800 Newtons, we can find the total weight of the automobile by multiplying this force by the number of tires. Assuming there are four tires:
Weight = Force * Number of Tires
Weight = 4,800 Newtons * 4 = 19,200 Newtons
Therefore, the weight of the automobile is approximately 19,200 Newtons.