How to Slow Down Faster: The Math behind Brakes. Part 4b: Oops

brake2

Part 1 is here.

Part 2 is here.

Part 2b is here.

Part 3 is here.

Part 4 is here.

     In part 2, I mentioned that the Booster Output Force (lb) is a very elusive variable.  I couldn’t find any real numbers for it for any car, so I’ll post a few equations to solve for it (although the variables in those equations seem to be even more useless).

mathbrake51

     To find the Booster Output Force (lb), we need the Brake Pedal Output Force (lb) which is what the brake pedal force is without the brake booster multiplying it.

     A driver’s leg force is usually at max 50 lbs, and there is no constant for that.

     The pedal ratio is also different for everycar, and its a small variable that manufacturers have no need whatsoever to publish.

     Pedal ratios can be anywhere from 3:1 to 7:1, and once again, manufacturers don’t publish this information.  And the boost gain’s typical ratio is 6:1, so we have to work with approximations here.

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