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Zorluk: OrtaStopping Distance Components

A commercial motor vehicle equipped with an air brake system is traveling at 55 mph55\text{ mph} on a dry, level roadway. Under standard CDL testing conditions, the total stopping distance from initial hazard recognition to a complete stop is 451 feet451\text{ feet}. This total includes a perception distance of 142 feet142\text{ feet}, a reaction distance of 61 feet61\text{ feet}, and an air brake lag distance of 32 feet32\text{ feet}. What is the vehicle's actual braking distance (the distance traveled after the brakes physically engage until the vehicle stops), in feet?

Cevap: 216 feet

Cevap

The actual braking distance is 216 feet216\text{ feet}.
For an air brake-equipped commercial vehicle, Total Stopping Distance is the sum of Perception Distance (142 ft142\text{ ft}), Reaction Distance (61 ft61\text{ ft}), Brake Lag Distance (32 ft32\text{ ft}), and Braking Distance. Subtracting the first three components (235 ft235\text{ ft}) from the total stopping distance of 451 feet451\text{ feet} yields an actual braking distance of 216 feet216\text{ feet}.

Adım Adım Çözüm

1
Express the total stopping distance formula for vehicles equipped with air brakes.
Total Stopping Distance=Perception Distance+Reaction Distance+Brake Lag Distance+Braking Distance\text{Total Stopping Distance} = \text{Perception Distance} + \text{Reaction Distance} + \text{Brake Lag Distance} + \text{Braking Distance}
Air brake systems have four distinct stopping distance components due to the mechanical delay of air moving through the brake lines.
2
Calculate the combined distance traveled during the pre-braking phases (perception, reaction, and air brake lag).
142 ft+61 ft+32 ft=235 ft142\text{ ft} + 61\text{ ft} + 32\text{ ft} = 235\text{ ft}
These phases occur before the brake linings physically create friction against the drums or discs to begin decelerating the vehicle.
3
Subtract the pre-braking distance from the total stopping distance to determine the actual braking distance.
451 ft−235 ft=216 ft451\text{ ft} - 235\text{ ft} = 216\text{ ft}
Subtracting the non-braking distance from the overall stopping distance isolates the distance traveled while active friction braking occurs.

Anahtar Kavram

Four-component air brake stopping distance formula
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