Reaction Time given Stopping Sight Distance and Vehicle Velocity Calculator

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Sight Distance

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Stopping Sight Distance

Overtaking Sight Distance

✖Sight Stopping Distance represents the distance a vehicle will travel while the driver is reacting to something they see ahead.ⓘ Sight Stopping Distance [SSD]			+10% -10%
✖Vehicle Speed refers to the rate at which a vehicle is traveling.ⓘ Vehicle Speed [V_speed]			+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%

✖Reaction Time is the time taken to complete a reaction to a certain extent.ⓘ Reaction Time given Stopping Sight Distance and Vehicle Velocity [t_reaction]

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Formula

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Reaction Time given Stopping Sight Distance and Vehicle Velocity

Formula

`"t"_{"reaction"} = ("SSD"-("V"_{"speed"}^2)/(2*"[g]"*"f"))/"V"_{"speed"}`

Example

`"7.170507s"=("61.4m"-(("6.88m/s")^2)/(2*"[g]"*"0.2"))/"6.88m/s"`

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Reaction Time given Stopping Sight Distance and Vehicle Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reaction Time = (Sight Stopping Distance-(Vehicle Speed^2)/(2*[g]*Coefficient of Friction))/Vehicle Speed
t_reaction = (SSD-(V_speed^2)/(2*[g]*f))/V_speed
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

Reaction Time - (Measured in Second) - Reaction Time is the time taken to complete a reaction to a certain extent.
Sight Stopping Distance - (Measured in Meter) - Sight Stopping Distance represents the distance a vehicle will travel while the driver is reacting to something they see ahead.
Vehicle Speed - (Measured in Meter per Second) - Vehicle Speed refers to the rate at which a vehicle is traveling.
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

Sight Stopping Distance: 61.4 Meter --> 61.4 Meter No Conversion Required
Vehicle Speed: 6.88 Meter per Second --> 6.88 Meter per Second No Conversion Required
Coefficient of Friction: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_reaction = (SSD-(V_speed^2)/(2*[g]*f))/V_speed --> (61.4-(6.88^2)/(2*[g]*0.2))/6.88

Evaluating ... ...

t_reaction = 7.17050671832913

STEP 3: Convert Result to Output's Unit

7.17050671832913 Second --> No Conversion Required

FINAL ANSWER

7.17050671832913 ≈ 7.170507 Second <-- Reaction Time

(Calculation completed in 00.004 seconds)

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Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

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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

Reaction Time given Stopping Sight Distance and Vehicle Velocity Formula

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

Reaction Time

Reaction time is the duration it takes for a driver to perceive a hazard or an unexpected situation on the road and then react by taking some action, such as applying the brakes.

The Stopping Sight Distance Definition

The Stopping Sight Distance is the total distance that a vehicle travelling at a certain initial speed needs to come to a complete stop safely after the driver perceives a hazard on the road and reacts by applying the brakes.

How to Calculate Reaction Time given Stopping Sight Distance and Vehicle Velocity?

Reaction Time given Stopping Sight Distance and Vehicle Velocity calculator uses Reaction Time = (Sight Stopping Distance-(Vehicle Speed^2)/(2*[g]*Coefficient of Friction))/Vehicle Speed to calculate the Reaction Time, The reaction Time given Stopping Sight Distance and Vehicle Velocity formula is as follows: Divide the Stopping Sight Distance by the difference between the Initial Velocity and the Braking Distance. Reaction Time is denoted by t_reaction symbol.

How to calculate Reaction Time given Stopping Sight Distance and Vehicle Velocity using this online calculator? To use this online calculator for Reaction Time given Stopping Sight Distance and Vehicle Velocity, enter Sight Stopping Distance (SSD), Vehicle Speed (V_speed) & Coefficient of Friction (f) and hit the calculate button. Here is how the Reaction Time given Stopping Sight Distance and Vehicle Velocity calculation can be explained with given input values -> 0.885216 = (61.4-(6.88^2)/(2*[g]*0.2))/6.88.

FAQ

What is Reaction Time given Stopping Sight Distance and Vehicle Velocity?

The reaction Time given Stopping Sight Distance and Vehicle Velocity formula is as follows: Divide the Stopping Sight Distance by the difference between the Initial Velocity and the Braking Distance and is represented as t_reaction = (SSD-(V_speed^2)/(2*[g]*f))/V_speed or Reaction Time = (Sight Stopping Distance-(Vehicle Speed^2)/(2*[g]*Coefficient of Friction))/Vehicle Speed. Sight Stopping Distance represents the distance a vehicle will travel while the driver is reacting to something they see ahead, Vehicle Speed refers to the rate at which a vehicle is traveling & Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.

How to calculate Reaction Time given Stopping Sight Distance and Vehicle Velocity?

The reaction Time given Stopping Sight Distance and Vehicle Velocity formula is as follows: Divide the Stopping Sight Distance by the difference between the Initial Velocity and the Braking Distance is calculated using Reaction Time = (Sight Stopping Distance-(Vehicle Speed^2)/(2*[g]*Coefficient of Friction))/Vehicle Speed. To calculate Reaction Time given Stopping Sight Distance and Vehicle Velocity, you need Sight Stopping Distance (SSD), Vehicle Speed (V_speed) & Coefficient of Friction (f). With our tool, you need to enter the respective value for Sight Stopping Distance, Vehicle Speed & Coefficient of Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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