The pressure in each of your car tires is 2.10 105 Pa. The mass of your car is 1550 kg. Assuming that each of your tires bears one-quarter of the total load, what is the contact area of each tire with the road?
______ m2
To find the contact area of each tire with the road, we can use the formula for pressure:
Pressure = Force / Area
In this case, we know the pressure (given as 2.10*10^5 Pa) and we want to find the area.
First, let's calculate the total force exerted by the car on the tires. Since each tire bears one-quarter of the total load:
Total Load = Mass * Acceleration due to gravity
Total Load = 1550 kg * 9.8 m/s^2
Total Load = 15190 N
Since each tire bears one-quarter of the total load, the force exerted by each tire is:
Force = Total Load / 4
Force = 15190 N / 4
Force = 3797.5 N
Now, we can rearrange the formula for pressure to solve for the area:
Area = Force / Pressure
Area = 3797.5 N / 2.10*10^5 Pa
Area = 0.018 m^2
Therefore, the contact area of each tire with the road is 0.018 m^2.