Car's braking distance formula

  • #1
Hello everyone !
I'm working on my highway code and my book give me the approximate formula and the real formula of the braking distance. Here's the real formula according to the book :

$$ Bd = \frac{V^2}{254 \times f} $$

With :
V : the velocity
f : the adherence coefficient.

But I have on question. Where does this 254 come from ?

Thanks in advance.
Regards

Hugo
 

Answers and Replies

  • #2
Doc Al
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That factor is a units conversion when V is measured in km/h instead of the usual m/s.
 
  • #3
That factor is a units conversion when V is measured in km/h instead of the usual m/s.
It's strange, usually we multiply (or divide) by 3.6 when we want to convert m/s in km/h (km/h in m/s).
 
  • #4
Doc Al
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It's strange, usually we multiply (or divide) by 3.6 when we want to convert m/s in km/h (km/h in m/s).
Right. That 254 is more than just a units conversion, it also contains part of the standard formula: $$\frac{V^2}{2 g \times f}$$
 
  • #5
Right. That 254 is more than just a units conversion, it also contains part of the standard formula: $$\frac{V^2}{2 g \times f}$$
Sorry but I don't find the right calculus. 2*9.8 = 19.6 So I don't understand how you find this 254.
 
  • #6
Doc Al
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Sorry but I don't find the right calculus. 2*9.8 = 19.6 So I don't understand how you find this 254.
2*9.8 takes care of the 2g factor. Now include the conversion from (km/h)^2 to (m/s)^2. That requires multiplying by (1/3.6)^2, which gives you a constant of 2*9.8*3.6^2 = 254 in the denominator.
 
  • #7
2*9.8 takes care of the 2g factor. Now include the conversion from (km/h)^2 to (m/s)^2. That requires multiplying by (1/3.6)^2, which gives you a constant of 2*9.8*3.6^2 = 254 in the denominator.
AH I see. Highway code should tells us the unit of V. Thank you ! :)
 

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