a car has a mass of 1200kg.The area of the tire in contact with the ground is .02m^2. What is the pressure of each tire?
To find the pressure of each tire, we can use the formula:
Pressure = Force / Area
In this case, the force we need to consider is the weight of the car, since it is pressing down on the tires. Weight is given by the formula:
Weight = Mass * Acceleration due to gravity
The standard value for acceleration due to gravity is approximately 9.8 m/s^2.
So, let's calculate the weight of the car first:
Weight = Mass * Acceleration due to gravity
Weight = 1200 kg * 9.8 m/s^2
Weight = 11,760 N (Newtons)
Now, we have the weight of the car, and we know that it is evenly distributed over all four tires. Therefore, to find the pressure of each tire, we divide the total weight by the total area of all four tires.
Total Area = 4 * Area of one tire
Total Area = 4 * 0.02 m^2
Total Area = 0.08 m^2
Now, let's calculate the pressure of each tire:
Pressure = Weight / Total Area
Pressure = 11,760 N / 0.08 m^2
Pressure = 147,000 Pa (Pascals)
So, the pressure of each tire is 147,000 Pascals.