The pressure in each of your car tires is 2.10 105 Pa. The mass of your car is 1690 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?
weight car/(4*eachtirearea)=pressuretire
To find the contact area of each tire with the road, we can use the formula:
Pressure = Force / Area
where Pressure is given as 2.10 x 10^5 Pa and Force is the weight of the car borne by each tire.
First, let's calculate the weight of the car borne by each tire:
Total weight of the car = mass of the car x gravitational acceleration
Given that the mass of the car is 1690 kg and the gravitational acceleration is approximately 9.8 m/s^2:
Weight of the car = 1690 kg x 9.8 m/s^2
Next, we need to calculate the force borne by each tire:
Force borne by each tire = Total weight of the car / 4 (since each tire bears one-quarter of the total load)
Now we can rearrange the Pressure formula to solve for the contact area:
Area = Force / Pressure
Substituting the values into the equation:
Area = (Total weight of the car / 4) / Pressure
Finally, plug in the values to calculate the contact area of each tire with the road.