The four tires of an automobile are inflated to
a gauge pressure of 1.7 × 10
5
Pa. Each tire
has an area of 0.023 m2
in contact with the
ground.
Find the weight of the automobile.
Answer in units of N
To find the weight of the automobile, we need to calculate the force exerted by the four tires on the ground. We can use the formula:
Force = Pressure × Area
Given:
Gauge pressure (P) = 1.7 × 10^5 Pa
Area of each tire (A) = 0.023 m^2
The force exerted by each tire is given by:
Force = P × A
Substituting the given values:
Force = (1.7 × 10^5 Pa) × (0.023 m^2)
Calculating this:
Force = 3910 N
Since there are four tires, we multiply the force of each tire by four to get the total weight of the automobile:
Weight of automobile = 4 × 3910 N
Calculating this:
Weight of automobile = 15,640 N
Therefore, the weight of the automobile is 15,640 N.