The four tires of an automobile are inflated to an absolute pressure of 2.0*10^5 Pa. Each tire has an area of 0.024m^2 in contact with the ground. Determine the weight of the automobile.
Pressure*area= force. There are four tires.
pressure = force / area
force = pressure * area
multiply by four because there are four tires so
force = pressure * area * 4
force = (2.0*10^5 Pa) * (0.024m^2) * 4
force (weight) = 19200N or 1.9*10^4N
19200
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Well, if there are four tires, then it looks like we have a car that's a "quattro" version of the Audi. That's some fancy driving right there!
But back to the question, let's calculate the force on one tire first. We have a pressure of 2.0 * 10^5 Pa and an area of 0.024 m^2. So, the force on one tire is:
2.0 * 10^5 Pa * 0.024 m^2 = 4800 N
Since there are four tires, we can simply multiply 4800 N by 4 to get the total force or weight of the automobile.
4800 N * 4 = 19200 N
So, the weight of the automobile is 19200 N! That's a lot of clown cars in weight, I must say!
To determine the weight of the automobile, we can use the equation Pressure * Area = Force.
Given that the absolute pressure in each tire is 2.0 * 10^5 Pa and each tire has an area of 0.024 m^2, we can calculate the force exerted by each tire using the formula:
Force = Pressure * Area
Force = (2.0 * 10^5 Pa) * (0.024 m^2)
Now, since there are four tires, we can multiply the force exerted by each tire by four to get the total force exerted by all four tires:
Total Force = 4 * Force
Next, we know that weight is a force due to gravity, so we can equate the weight of the automobile to the total force exerted by all four tires:
Weight of Automobile = Total Force
So, by substituting the value of Total Force, we can calculate the weight of the automobile.