Total Reaction Time given Stopping Sight Distance Calculator

✖Stopping Sight Distance is defined as distance provided on the road before a sharp turn.ⓘ Stopping Sight Distance [SSD]			+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%
✖Design Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.ⓘ Design Coefficient of Friction [f]			+10% -10%

✖Break Reaction Time is defined as time taken by the driver to apply the break.ⓘ Total Reaction Time given Stopping Sight Distance [t]

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Formula

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Total Reaction Time given Stopping Sight Distance

Formula

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

Example

`"10.62509s"=("160m"-(("11.11m/s")^2)/(2*"[g]"*"0.15"))/"11.11m/s"`

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Total Reaction Time given Stopping Sight Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Break Reaction Time = (Stopping Sight Distance-(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction))/Speed of Slow moving vehicle
t = (SSD-(V_b^2)/(2*[g]*f))/V_b
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

Break Reaction Time - (Measured in Second) - Break Reaction Time is defined as time taken by the driver to apply the break.
Stopping Sight Distance - (Measured in Meter) - Stopping Sight Distance is defined as distance provided on the road before a sharp turn.
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.
Design Coefficient of Friction - Design 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

Stopping Sight Distance: 160 Meter --> 160 Meter No Conversion Required
Speed of Slow moving vehicle: 11.11 Meter per Second --> 11.11 Meter per Second No Conversion Required
Design Coefficient of Friction: 0.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (SSD-(V_b^2)/(2*[g]*f))/V_b --> (160-(11.11^2)/(2*[g]*0.15))/11.11

Evaluating ... ...

t = 10.6250911019528

STEP 3: Convert Result to Output's Unit

10.6250911019528 Second --> No Conversion Required

FINAL ANSWER

10.6250911019528 ≈ 10.62509 Second <-- Break Reaction Time

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 7 SSD Calculators

Stopping Sight Distance on Level Ground with Breaking Efficiency

Go Stopping Sight Distance = Speed of Slow moving vehicle*Break Reaction Time+(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction*Overall Efficiency from Shaft A to X)

Stopping Sight Distance on Upward Inclined Surface

Go Stopping Sight Distance = Speed of Slow moving vehicle*Break Reaction Time+(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction+Difference in Elevation)

Total Reaction Time given Stopping Sight Distance

Go Break Reaction Time = (Stopping Sight Distance-(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction))/Speed of Slow moving vehicle

Stopping Sight Distance for Velocity in meter per second

Go Stopping Sight Distance = Speed of Slow moving vehicle*Break Reaction Time+(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction)

Stopping Sight Distance

Go Stopping Sight Distance = Breaking Distance+Lag Distance

Stopping Sight Distance given Intermediate Sight Distance

Go Stopping Sight Distance = Intermediate Sight Distance/2

Intermediate Sight Distance

Go Intermediate Sight Distance = 2*Stopping Sight Distance

Total Reaction Time given Stopping Sight Distance Formula

Break Reaction Time = (Stopping Sight Distance-(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction))/Speed of Slow moving vehicle
t = (SSD-(V_b^2)/(2*[g]*f))/V_b

What is total reaction time?

Total reaction time is the sum of perception time and lag time when the driver has to stop the fast moving vehicle on a level surface.

How to Calculate Total Reaction Time given Stopping Sight Distance?

Total Reaction Time given Stopping Sight Distance calculator uses Break Reaction Time = (Stopping Sight Distance-(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction))/Speed of Slow moving vehicle to calculate the Break Reaction Time, Total Reaction Time given Stopping Sight Distance formula is defined as sum of perception time and lag time. Break Reaction Time is denoted by t symbol.

How to calculate Total Reaction Time given Stopping Sight Distance using this online calculator? To use this online calculator for Total Reaction Time given Stopping Sight Distance, enter Stopping Sight Distance (SSD), Speed of Slow moving vehicle (V_b) & Design Coefficient of Friction (f) and hit the calculate button. Here is how the Total Reaction Time given Stopping Sight Distance calculation can be explained with given input values -> 10.62509 = (160-(11.11^2)/(2*[g]*0.15))/11.11.

FAQ

What is Total Reaction Time given Stopping Sight Distance?

Total Reaction Time given Stopping Sight Distance formula is defined as sum of perception time and lag time and is represented as t = (SSD-(V_b^2)/(2*[g]*f))/V_b or Break Reaction Time = (Stopping Sight Distance-(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction))/Speed of Slow moving vehicle. Stopping Sight Distance is defined as distance provided on the road before a sharp turn, Speed of Slow moving vehicle is the speed of vehicle which has to be overtaken & Design Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.

How to calculate Total Reaction Time given Stopping Sight Distance?

Total Reaction Time given Stopping Sight Distance formula is defined as sum of perception time and lag time is calculated using Break Reaction Time = (Stopping Sight Distance-(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction))/Speed of Slow moving vehicle. To calculate Total Reaction Time given Stopping Sight Distance, you need Stopping Sight Distance (SSD), Speed of Slow moving vehicle (V_b) & Design Coefficient of Friction (f). With our tool, you need to enter the respective value for Stopping Sight Distance, Speed of Slow moving vehicle & Design 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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