Braking Distance of Vehicle during Braking Operation Calculator

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Sight Distance

Design of Transition Curves and Setback Distances

Design of Superelevation

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Pavement Materials

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Stopping Sight Distance

Overtaking Sight Distance

✖Velocity is the rate of change of distance of the vehicle with respect to time.ⓘ Velocity [v_vehicle]			+10% -10%
✖Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.ⓘ Coefficient of Friction [f]			+10% -10%

✖Braking Distance is the distance travelled by the vehicle at the point where brake is applied to the point where it stops.ⓘ Braking Distance of Vehicle during Braking Operation [l]

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Formula

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Braking Distance of Vehicle during Braking Operation

Formula

`"l" = "v"_{"vehicle"}^2/(2*"[g]"*"f")`

Example

`"203.1613m"=("28.23m/s")^2/(2*"[g]"*"0.2")`

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Braking Distance of Vehicle during Braking Operation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction)
l = v_vehicle^2/(2*[g]*f)
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Braking Distance - (Measured in Meter) - Braking Distance is the distance travelled by the vehicle at the point where brake is applied to the point where it stops.
Velocity - (Measured in Meter per Second) - Velocity is the rate of change of distance of the vehicle with respect to time.
Coefficient of Friction - Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.

STEP 1: Convert Input(s) to Base Unit

Velocity: 28.23 Meter per Second --> 28.23 Meter per Second No Conversion Required
Coefficient of Friction: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = v_vehicle^2/(2*[g]*f) --> 28.23^2/(2*[g]*0.2)

Evaluating ... ...

l = 203.161349696379

STEP 3: Convert Result to Output's Unit

203.161349696379 Meter --> No Conversion Required

FINAL ANSWER

203.161349696379 ≈ 203.1613 Meter <-- Braking Distance

(Calculation completed in 00.004 seconds)

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Created by Avayjit Das

University of Engineering and Management,Kolkata (UEMK), Kolkata

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 12 Stopping Sight Distance Calculators

Reaction Time given Stopping Sight Distance and Vehicle Velocity

Go Reaction Time = (Sight Stopping Distance-(Vehicle Speed^2)/(2*[g]*Coefficient of Friction))/Vehicle Speed

Stopping Sight Distance given Vehicle Velocity and Reaction Time of Vehicle

Go Sight Stopping Distance = Vehicle Speed*Reaction Time+(Vehicle Speed^2)/(2*[g]*Coefficient of Friction)

Maximum Frictional Force Developed during Braking Operation of Vehicle

Go Maximum Frictional Force = (Total Weight of Vehicle*Velocity^2)/(2*[g]*Braking Distance)

Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed

Go Total Weight of Vehicle = (2*[g]*Maximum Frictional Force*Braking Distance)/Velocity^2

Velocity of Vehicle given Braking Distance after Braking Operation

Go Velocity = sqrt(2*[g]*Coefficient of Friction*Braking Distance)

Work Done against Friction in Stopping Vehicle

Go Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance

Kinetic Energy of Vehicle at Design Speed

Go Kinetic Energy of Vehicle at Design Speed = (Total Weight of Vehicle*Velocity^2)/(2*[g])

Braking Distance of Vehicle during Braking Operation

Go Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction)

Maximum Frictional Force given Kinetic Energy of Vehicle at Design Speed

Go Maximum Frictional Force = Kinetic Energy of Vehicle at Design Speed/Braking Distance

Stopping Sight Distance given Lag Distance and Braking Distance

Go Sight Stopping Distance = Lag Distance+Braking Distance

Lag Distance given Stopping Sight Distance and Braking Distance

Go Lag Distance = Sight Stopping Distance-Braking Distance

Braking Distance given Lag Distance and Stopping Sight Distance

Go Braking Distance = Sight Stopping Distance-Lag Distance

Braking Distance of Vehicle during Braking Operation Formula

Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction)
l = v_vehicle^2/(2*[g]*f)

What is Braking Distance?

Braking Distance is actually the distance travelled by the vehicle from the point where brakes are applied to the point where finally the vehicle stops.

How to Calculate Braking Distance of Vehicle during Braking Operation?

Braking Distance of Vehicle during Braking Operation calculator uses Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction) to calculate the Braking Distance, Braking Distance of Vehicle during Braking Operation depends on how fast a vehicle is travelling before the brakes are applied, and is proportional to the square of the initial speed. Braking Distance is denoted by l symbol.

How to calculate Braking Distance of Vehicle during Braking Operation using this online calculator? To use this online calculator for Braking Distance of Vehicle during Braking Operation, enter Velocity (v_vehicle) & Coefficient of Friction (f) and hit the calculate button. Here is how the Braking Distance of Vehicle during Braking Operation calculation can be explained with given input values -> 59.13153 = 28.23^2/(2*[g]*0.2).

FAQ

What is Braking Distance of Vehicle during Braking Operation?

Braking Distance of Vehicle during Braking Operation depends on how fast a vehicle is travelling before the brakes are applied, and is proportional to the square of the initial speed and is represented as l = v_vehicle^2/(2*[g]*f) or Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction). Velocity is the rate of change of distance of the vehicle with respect to time & Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.

How to calculate Braking Distance of Vehicle during Braking Operation?

Braking Distance of Vehicle during Braking Operation depends on how fast a vehicle is travelling before the brakes are applied, and is proportional to the square of the initial speed is calculated using Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction). To calculate Braking Distance of Vehicle during Braking Operation, you need Velocity (v_vehicle) & Coefficient of Friction (f). With our tool, you need to enter the respective value for Velocity & Coefficient of Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Braking Distance?

In this formula, Braking Distance uses Velocity & Coefficient of Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Braking Distance = Sight Stopping Distance-Lag Distance

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