The four tires of an automobile are inflated to a gauge pressure of 1.84E+5 Pa. Each tire has an area of 0.0237 m2 in contact with the ground. Determine the weight of the automobile.
weight= 4*area*guagepressure
To determine the weight of the automobile, we first need to find the force exerted by each tire on the ground. The force can be calculated using the formula:
Force = Pressure * Area
Given that the gauge pressure is 1.84E+5 Pa and the area of each tire in contact with the ground is 0.0237 m2, we can calculate the force exerted by each tire:
Force = 1.84E+5 Pa * 0.0237 m^2
Now, we need to multiply this force by the number of tires to get the total force exerted by all four tires on the ground:
Total Force = Force per tire * Number of tires
Since there are four tires, the Total Force would be:
Total Force = 4 * Force
Finally, we can convert the force to weight using the formula:
Weight = Total Force / Acceleration due to gravity
Given that the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the weight of the automobile:
Weight = Total Force / 9.8 m/s^2
Plug in the values and calculate to find the weight of the automobile.