Reaction Time of Driver using OSD Calculator

✖Overtaking Sight Distance on road is minimum distance open to the vision of the driver of a vehicle intending to overtake slow moving vehicle with safety.ⓘ Overtaking Sight Distance on road [OSD]			+10% -10%
✖Speed of Slow moving vehicle is the speed of vehicle which has to be overtaken.ⓘ Speed of Slow moving vehicle [V_b]			+10% -10%
✖Time taken for Overtaking Operation is the time taken by fast moving vehicle to overtake the slow moving vehicle.ⓘ Time taken for Overtaking Operation [T]			+10% -10%
✖Length of Wheel Base as per IRC is the distance between the center of the front wheels and the center of the rear wheels.ⓘ Length of Wheel Base as per IRC [l]			+10% -10%
✖Speed of Fast moving Vehicle is the speed of overtaking vehicle.ⓘ Speed of Fast moving Vehicle [V]			+10% -10%

✖Reaction Time of Driver is the time taken by the driver from the instant the object is visible to the driver to the instant when the brakes are applied.ⓘ Reaction Time of Driver using OSD [t_r]

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Formula

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Reaction Time of Driver using OSD

Formula

`"t"_{"r"} = ("OSD"-"V"_{"b"}*"T"-1.4*"V"_{"b"}-2*"l"-"V"*"T")/"V"_{"b"}`

Example

`"2.105131s"=("278m"-"11.11m/s"*"7.8s"-1.4*"11.11m/s"-2*"6m"-"18m/s"*"7.8s")/"11.11m/s"`

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Reaction Time of Driver using OSD Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reaction Time of Driver = (Overtaking Sight Distance on road-Speed of Slow moving vehicle*Time taken for Overtaking Operation-1.4*Speed of Slow moving vehicle-2*Length of Wheel Base as per IRC-Speed of Fast moving Vehicle*Time taken for Overtaking Operation)/Speed of Slow moving vehicle
t_r = (OSD-V_b*T-1.4*V_b-2*l-V*T)/V_b
This formula uses 6 Variables

Variables Used

Reaction Time of Driver - (Measured in Second) - Reaction Time of Driver is the time taken by the driver from the instant the object is visible to the driver to the instant when the brakes are applied.
Overtaking Sight Distance on road - (Measured in Meter) - Overtaking Sight Distance on road is minimum distance open to the vision of the driver of a vehicle intending to overtake slow moving vehicle with safety.
Speed of Slow moving vehicle - (Measured in Meter per Second) - Speed of Slow moving vehicle is the speed of vehicle which has to be overtaken.
Time taken for Overtaking Operation - (Measured in Second) - Time taken for Overtaking Operation is the time taken by fast moving vehicle to overtake the slow moving vehicle.
Length of Wheel Base as per IRC - (Measured in Meter) - Length of Wheel Base as per IRC is the distance between the center of the front wheels and the center of the rear wheels.
Speed of Fast moving Vehicle - (Measured in Meter per Second) - Speed of Fast moving Vehicle is the speed of overtaking vehicle.

STEP 1: Convert Input(s) to Base Unit

Overtaking Sight Distance on road: 278 Meter --> 278 Meter No Conversion Required
Speed of Slow moving vehicle: 11.11 Meter per Second --> 11.11 Meter per Second No Conversion Required
Time taken for Overtaking Operation: 7.8 Second --> 7.8 Second No Conversion Required
Length of Wheel Base as per IRC: 6 Meter --> 6 Meter No Conversion Required
Speed of Fast moving Vehicle: 18 Meter per Second --> 18 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_r = (OSD-V_b*T-1.4*V_b-2*l-V*T)/V_b --> (278-11.11*7.8-1.4*11.11-2*6-18*7.8)/11.11

Evaluating ... ...

t_r = 2.10513051305131

STEP 3: Convert Result to Output's Unit

2.10513051305131 Second --> No Conversion Required

FINAL ANSWER

2.10513051305131 ≈ 2.105131 Second <-- Reaction Time of Driver

(Calculation completed in 00.004 seconds)

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Credits

Created by Adnan H Kotawala

R V College of Engineering (RVCE), Bangalore

Adnan H Kotawala has created this Calculator and 25+ more calculators!

Verified by Rachana B V

The National Institute of Engineering (NIE), Mysuru

Rachana B V has verified this Calculator and 50+ more calculators!

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Reaction Time of Driver using OSD

Go Reaction Time of Driver = (Overtaking Sight Distance on road-Speed of Slow moving vehicle*Time taken for Overtaking Operation-1.4*Speed of Slow moving vehicle-2*Length of Wheel Base as per IRC-Speed of Fast moving Vehicle*Time taken for Overtaking Operation)/Speed of Slow moving vehicle

Overtaking Sight Distance

Go Overtaking Sight Distance on road = Speed of Slow moving vehicle*Reaction Time of Driver+Speed of Slow moving vehicle*Time taken for Overtaking Operation+2*(0.7*Speed of Slow moving vehicle+Length of Wheel Base as per IRC)+Speed of Fast moving Vehicle*Time taken for Overtaking Operation

Speed of Slow Vehicle using OSD

Go Speed of Slow moving vehicle = (Overtaking Sight Distance on road-Speed of Fast moving Vehicle*Time taken for Overtaking Operation-2*Length of Wheel Base as per IRC)/(Reaction Time of Driver+Time taken for Overtaking Operation+1.4)

Total Time of Travel in Overtaking Sight distance

Go Time taken for Overtaking Operation = sqrt(4*Minimum Spacing between Vehicles during Overtaking/Acceleration)

Spacing between Vehicles given Total Time of Travel in Overtaking Sight distance

Go Minimum Spacing between Vehicles during Overtaking = ((Time taken for Overtaking Operation^2)*Acceleration)/4

Acceleration of Vehicle given Total Time of Travel in Overtaking Sight distance

Go Acceleration = (4*Minimum Spacing between Vehicles during Overtaking)/(Time taken for Overtaking Operation^2)

Minimum Spacing between Vehicles during Overtaking

Go Minimum Spacing between Vehicles during Overtaking = (0.7*Speed of Slow moving vehicle+6)

Velocity of Overtaking Vehicle for Forward Moving Vehicle Velocity in meter per second

Go Speed of Fast moving Vehicle = Speed of Slow moving vehicle+4.5

Overtaking Sight Distance given Minimum Overtaking Distance

Go Overtaking Sight Distance on road = Minimum Length of OSD/3

Minimum Overtaking Distance

Go Minimum Length of OSD = 3*Overtaking Sight Distance on road

Reaction Time of Driver using OSD Formula

Reaction time of driver using OSD in seconds

Reaction Time of Driver is the time taken by the driver from the instant the object is visible to the driver to the instant when the brakes are applied. Reaction time of drivers is considered 2.5 sec for stopping sight distance and 2 sec for overtaking sight distance. Reaction times vary greatly with situation and from person to person.

How to Calculate Reaction Time of Driver using OSD?

Reaction Time of Driver using OSD calculator uses Reaction Time of Driver = (Overtaking Sight Distance on road-Speed of Slow moving vehicle*Time taken for Overtaking Operation-1.4*Speed of Slow moving vehicle-2*Length of Wheel Base as per IRC-Speed of Fast moving Vehicle*Time taken for Overtaking Operation)/Speed of Slow moving vehicle to calculate the Reaction Time of Driver, Reaction Time of Driver using OSD is defined as time taken by the driver from the instant the object is visible to the driver to the instant when the brakes are applied. Reaction Time of Driver is denoted by t_r symbol.

How to calculate Reaction Time of Driver using OSD using this online calculator? To use this online calculator for Reaction Time of Driver using OSD, enter Overtaking Sight Distance on road (OSD), Speed of Slow moving vehicle (V_b), Time taken for Overtaking Operation (T), Length of Wheel Base as per IRC (l) & Speed of Fast moving Vehicle (V) and hit the calculate button. Here is how the Reaction Time of Driver using OSD calculation can be explained with given input values -> 2.105131 = (278-11.11*7.8-1.4*11.11-2*6-18*7.8)/11.11.

FAQ

What is Reaction Time of Driver using OSD?

Reaction Time of Driver using OSD is defined as time taken by the driver from the instant the object is visible to the driver to the instant when the brakes are applied and is represented as t_r = (OSD-V_b*T-1.4*V_b-2*l-V*T)/V_b or Reaction Time of Driver = (Overtaking Sight Distance on road-Speed of Slow moving vehicle*Time taken for Overtaking Operation-1.4*Speed of Slow moving vehicle-2*Length of Wheel Base as per IRC-Speed of Fast moving Vehicle*Time taken for Overtaking Operation)/Speed of Slow moving vehicle. Overtaking Sight Distance on road is minimum distance open to the vision of the driver of a vehicle intending to overtake slow moving vehicle with safety, Speed of Slow moving vehicle is the speed of vehicle which has to be overtaken, Time taken for Overtaking Operation is the time taken by fast moving vehicle to overtake the slow moving vehicle, Length of Wheel Base as per IRC is the distance between the center of the front wheels and the center of the rear wheels & Speed of Fast moving Vehicle is the speed of overtaking vehicle.

How to calculate Reaction Time of Driver using OSD?

Reaction Time of Driver using OSD is defined as time taken by the driver from the instant the object is visible to the driver to the instant when the brakes are applied is calculated using Reaction Time of Driver = (Overtaking Sight Distance on road-Speed of Slow moving vehicle*Time taken for Overtaking Operation-1.4*Speed of Slow moving vehicle-2*Length of Wheel Base as per IRC-Speed of Fast moving Vehicle*Time taken for Overtaking Operation)/Speed of Slow moving vehicle. To calculate Reaction Time of Driver using OSD, you need Overtaking Sight Distance on road (OSD), Speed of Slow moving vehicle (V_b), Time taken for Overtaking Operation (T), Length of Wheel Base as per IRC (l) & Speed of Fast moving Vehicle (V). With our tool, you need to enter the respective value for Overtaking Sight Distance on road, Speed of Slow moving vehicle, Time taken for Overtaking Operation, Length of Wheel Base as per IRC & Speed of Fast moving Vehicle 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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