- #1
BlackLotus
- 2
- 0
Good day to everyone,
I hope it is appropriate to post my practical statement of a problem here, to seek physical knowledge. My main background is Computer Science.
The Problem:
I want to algorithmically determine the tire pressure of a car, using informations of the car's footprint and it's tire-load (half axle load).
Example:
The car's tire has a load of
[tex]F = 420 \cdot 9.81 N [/tex]
The tire's footprint length (in driving direction) is
[tex]L = 0.13 m[/tex]
The tire's footprint width (orthogonal to driving direction) is
[tex]W = 0.175 m[/tex]
Now i estimate the footprint area as
[tex]A = L \cdot W[/tex]
Then, the tire pressure in bar could be estimated by
[tex]p = \frac{F}{A\cdot 10^5} \approx 1.811 bar[/tex]
But the true pressure is much higher:
[tex]p_{true} = 2.30 bar[/tex]
I think footprint area is overestimated (too big), and F needs to be reduced by a value according to tire type and F, as the tire already carries some load due to its material.
What things are missing? Is there any function (e.g. f(tireType, N)) i could use as correction factor of this value?
Thanks to all of You in advance!
I hope it is appropriate to post my practical statement of a problem here, to seek physical knowledge. My main background is Computer Science.
The Problem:
I want to algorithmically determine the tire pressure of a car, using informations of the car's footprint and it's tire-load (half axle load).
Example:
The car's tire has a load of
[tex]F = 420 \cdot 9.81 N [/tex]
The tire's footprint length (in driving direction) is
[tex]L = 0.13 m[/tex]
The tire's footprint width (orthogonal to driving direction) is
[tex]W = 0.175 m[/tex]
Now i estimate the footprint area as
[tex]A = L \cdot W[/tex]
Then, the tire pressure in bar could be estimated by
[tex]p = \frac{F}{A\cdot 10^5} \approx 1.811 bar[/tex]
But the true pressure is much higher:
[tex]p_{true} = 2.30 bar[/tex]
I think footprint area is overestimated (too big), and F needs to be reduced by a value according to tire type and F, as the tire already carries some load due to its material.
What things are missing? Is there any function (e.g. f(tireType, N)) i could use as correction factor of this value?
Thanks to all of You in advance!