Velocity of Vehicle given Braking Distance after Braking Operation Calculator

⤿

Sight Distance

Design of Transition Curves and Setback Distances

Design of Superelevation

Marshall Mix Design

Pavement Materials

Vertical alignment

⤿

Stopping Sight Distance

Overtaking Sight Distance

✖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 [l]			+10% -10%

✖Velocity is the rate of change of distance of the vehicle with respect to time.ⓘ Velocity of Vehicle given Braking Distance after Braking Operation [v_vehicle]

⎘ Copy

👎

Formula

✖

Velocity of Vehicle given Braking Distance after Braking Operation

Formula

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

Example

`"13.7218m/s"=sqrt(2*"[g]"*"0.2"*"48m")`

Calculator

LaTeX

Reset

👍

Download Stopping Sight Distance Formulas PDF PDF Image

Velocity of Vehicle given Braking Distance after Braking Operation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 0.2 --> No Conversion Required
Braking Distance: 48 Meter --> 48 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_vehicle = sqrt(2*[g]*f*l) --> sqrt(2*[g]*0.2*48)

Evaluating ... ...

v_vehicle = 13.7217958008418

STEP 3: Convert Result to Output's Unit

13.7217958008418 Meter per Second --> No Conversion Required

FINAL ANSWER

13.7217958008418 ≈ 13.7218 Meter per Second <-- Velocity

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Transportation System » Sight Distance » Stopping Sight Distance » Velocity of Vehicle given Braking Distance after Braking Operation

Credits

Created by Avayjit Das

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

Avayjit Das has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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

Velocity of Vehicle given Braking Distance after Braking Operation Formula

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

What is Braking Operation?

When the brake pedal is applied the two curved brake shoes, which have a friction material lining, are forced by hydraulic wheel cylinders against the inner surface of a rotating brake drum.

How to Calculate Velocity of Vehicle given Braking Distance after Braking Operation?

Velocity of Vehicle given Braking Distance after Braking Operation calculator uses Velocity = sqrt(2*[g]*Coefficient of Friction*Braking Distance) to calculate the Velocity, Velocity of Vehicle given Braking Distance after Braking Operation is the rate of change of distance with unit time. Velocity is denoted by v_vehicle symbol.

How to calculate Velocity of Vehicle given Braking Distance after Braking Operation using this online calculator? To use this online calculator for Velocity of Vehicle given Braking Distance after Braking Operation, enter Coefficient of Friction (f) & Braking Distance (l) and hit the calculate button. Here is how the Velocity of Vehicle given Braking Distance after Braking Operation calculation can be explained with given input values -> 13.7218 = sqrt(2*[g]*0.2*48).

FAQ

What is Velocity of Vehicle given Braking Distance after Braking Operation?

Velocity of Vehicle given Braking Distance after Braking Operation is the rate of change of distance with unit time and is represented as v_vehicle = sqrt(2*[g]*f*l) or Velocity = sqrt(2*[g]*Coefficient of Friction*Braking Distance). Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force & Braking Distance is the distance travelled by the vehicle at the point where brake is applied to the point where it stops.

How to calculate Velocity of Vehicle given Braking Distance after Braking Operation?

Velocity of Vehicle given Braking Distance after Braking Operation is the rate of change of distance with unit time is calculated using Velocity = sqrt(2*[g]*Coefficient of Friction*Braking Distance). To calculate Velocity of Vehicle given Braking Distance after Braking Operation, you need Coefficient of Friction (f) & Braking Distance (l). With our tool, you need to enter the respective value for Coefficient of Friction & Braking Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search