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Total Reaction Time given Stopping Sight Distance Formula

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Break Reaction Time is defined as time taken by the driver to apply the break. Check FAQs

t = \frac{SSD - \frac{{V b}^{2}}{2 \cdot [g] \cdot f}}{V b}

t - Break Reaction Time?SSD - Stopping Sight Distance?V_b - Speed of Slow moving vehicle?f - Design Coefficient of Friction?[g] - Gravitational acceleration on Earth?

Total Reaction Time given Stopping Sight Distance Example

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Here is how the Total Reaction Time given Stopping Sight Distance equation looks like with Values.

Here is how the Total Reaction Time given Stopping Sight Distance equation looks like with Units.

Here is how the Total Reaction Time given Stopping Sight Distance equation looks like.

10.6251 = \frac{160 - \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 0.15}}{11.11}

10.6251s = \frac{160m - \frac{{11.11m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 0.15}}{11.11m/s}

10.6251 = \frac{160 - \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 0.15}}{11.11}

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Total Reaction Time given Stopping Sight Distance Solution

Follow our step by step solution on how to calculate Total Reaction Time given Stopping Sight Distance?

FIRST Step Consider the formula

t = \frac{SSD - \frac{{V b}^{2}}{2 \cdot [g] \cdot f}}{V b}

Next Step Substitute values of Variables

∴

t = \frac{160m - \frac{{11.11m/s}^{2}}{2 \cdot [g] \cdot 0.15}}{11.11m/s}

Next Step Substitute values of Constants

∴

t = \frac{160m - \frac{{11.11m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 0.15}}{11.11m/s}

Next Step Prepare to Evaluate

∴

t = \frac{160 - \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 0.15}}{11.11}

Next Step Evaluate

∴

t = 10.6250911019528s

LAST Step Rounding Answer

∴

t = 10.6251s

Total Reaction Time given Stopping Sight Distance Formula Elements

Variables

Constants

Break Reaction Time

Break Reaction Time is defined as time taken by the driver to apply the break.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Break Reaction Time

Stopping Sight Distance

Stopping Sight Distance is defined as distance provided on the road before a sharp turn.

Symbol: SSD

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Stopping Sight Distance

Speed of Slow moving vehicle

Speed of Slow moving vehicle is the speed of vehicle which has to be overtaken.

Symbol: V_b

Measurement: SpeedUnit: m/s

Note: Value should be greater than 5.

Formulas to find Speed of Slow moving vehicle

Design Coefficient of Friction

Design Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Design Coefficient of Friction

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in SSD category

Go Intermediate Sight Distance

ISD = 2 \cdot SSD

Go Stopping Sight Distance given Intermediate Sight Distance

SSD = \frac{ISD}{2}

Go Stopping Sight Distance

SSD = BD + LD

Go Stopping Sight Distance for Velocity in meter per second

SSD = V b \cdot t + \frac{{V b}^{2}}{2 \cdot [g] \cdot f}

How to Evaluate Total Reaction Time given Stopping Sight Distance?

Total Reaction Time given Stopping Sight Distance evaluator 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 evaluate 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 evaluate Total Reaction Time given Stopping Sight Distance using this online evaluator? To use this online evaluator 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.

FAQs on Total Reaction Time given Stopping Sight Distance

What is the formula to find Total Reaction Time given Stopping Sight Distance?

The formula of Total Reaction Time given Stopping Sight Distance is expressed as Break Reaction Time = (Stopping Sight Distance-(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction))/Speed of Slow moving vehicle. Here is an example- 10.62509 = (160-(11.11^2)/(2*[g]*0.15))/11.11.

How to calculate Total Reaction Time given Stopping Sight Distance?

With Stopping Sight Distance (SSD), Speed of Slow moving vehicle (V_b) & Design Coefficient of Friction (f) we can find Total Reaction Time given Stopping Sight Distance using the formula - Break Reaction Time = (Stopping Sight Distance-(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction))/Speed of Slow moving vehicle. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Total Reaction Time given Stopping Sight Distance be negative?

No, the Total Reaction Time given Stopping Sight Distance, measured in Time cannot be negative.

Which unit is used to measure Total Reaction Time given Stopping Sight Distance?

Total Reaction Time given Stopping Sight Distance is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Total Reaction Time given Stopping Sight Distance can be measured.

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Total Reaction Time given Stopping Sight Distance Formula

Total Reaction Time given Stopping Sight Distance Example

Total Reaction Time given Stopping Sight Distance Solution

Total Reaction Time given Stopping Sight Distance Formula Elements

Other formulas in SSD category

How to Evaluate Total Reaction Time given Stopping Sight Distance?

FAQs on Total Reaction Time given Stopping Sight Distance

Variable Name