Automation Anytime Vehicle Braking System : Wheel Based

With my (Andrew C. Graham) pending invention vehicle braking system with Automation Anytime, there are additional considerations based around the design of the breaking system and the kind of vehicle engine (i.e. my (Automation Anytime) electric engine design, magnetic engine design or standard gas powered design.

Additional Considerations include:

Variable rate skid and variable rate "stop and start interval" braking system where the breaking system operator (human driver or robot) determines the rate of applying the breaking design based on speed, road conditions, etc.

Key Factors in Stopping Calculations

• Speed (\(v\)): How fast the object is moving. Higher speeds exponentially increase the distance and force needed to stop.

• Weight / Mass (\(m\)): The heavier the object, the more momentum it carries, requiring greater stopping force.

• Friction (\(\mu \)): The grip between tires and the road surface (dry asphalt is around \(0.7\), while ice can be below \(0.1\)).

• Reaction Time (\(t\)): The time it takes for a driver or system to apply the brakes (usually 1.0 to 1.5 seconds). [1, 2, 3, 4, 5, 6, 7]

Basic Formulas

• Stopping Distance (\(d\)): Reaction Distance + Braking Distance.
  \(\text{Braking\ Distance}=\frac{v^{2}}{2\cdot g\cdot \mu }\)

• Impact Force (\(F\)) in a crash:
  \(F=\frac{m\cdot v^{2}}{2\cdot d}\)
  (Where \(m\) is mass, \(v\) is velocity, and \(d\) is the stopping or crushing distance). [1]

If you want to calculate a specific scenario, tell me:

• The speed (mph or km/h)

• The weight of the vehicle or object (lbs or kg)

• The road condition (dry, wet, ice)