FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Reaction Time given Stopping Sight Distance and Vehicle Velocity Formula

Fx Copy

LaTeX Copy

Reaction Time is the time taken by a driver to react to a situation and apply the brakes, affecting the total stopping distance of a vehicle. Check FAQs

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

t_reaction - Reaction Time?SSD - Sight Stopping Distance?V_speed - Vehicle Speed?f - Coefficient of Friction?[g] - Gravitational acceleration on Earth?

Reaction Time given Stopping Sight Distance and Vehicle Velocity Example

With values

With units

Only example

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

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

Here is how the Reaction Time given Stopping Sight Distance and Vehicle Velocity equation looks like.

8.5101 = \frac{61.4 - \frac{{6.88}^{2}}{2 \cdot 9.8066 \cdot 0.8467}}{6.88}

8.5101s = \frac{61.4m - \frac{{6.88m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 0.8467}}{6.88m/s}

8.5101 = \frac{61.4 - \frac{{6.88}^{2}}{2 \cdot 9.8066 \cdot 0.8467}}{6.88}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Transportation System » fx Reaction Time given Stopping Sight Distance and Vehicle Velocity

Reaction Time given Stopping Sight Distance and Vehicle Velocity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t reaction = \frac{61.4m - \frac{{6.88m/s}^{2}}{2 \cdot [g] \cdot 0.8467}}{6.88m/s}

Next Step Substitute values of Constants

∴

t reaction = \frac{61.4m - \frac{{6.88m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 0.8467}}{6.88m/s}

Next Step Prepare to Evaluate

∴

t reaction = \frac{61.4 - \frac{{6.88}^{2}}{2 \cdot 9.8066 \cdot 0.8467}}{6.88}

Next Step Evaluate

∴

t reaction = 8.51012502101539s

LAST Step Rounding Answer

∴

t reaction = 8.5101s

Reaction Time given Stopping Sight Distance and Vehicle Velocity Formula Elements

Variables

Constants

Reaction Time

Reaction Time is the time taken by a driver to react to a situation and apply the brakes, affecting the total stopping distance of a vehicle.

Symbol: t_reaction

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Reaction Time

Sight Stopping Distance

Sight Stopping Distance is the maximum distance a driver can see and stop before colliding with an object or pedestrian on the road ahead.

Symbol: SSD

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sight Stopping Distance

Vehicle Speed

Vehicle Speed is the rate at which a vehicle travels and is used to calculate the distance a vehicle can travel before stopping.

Symbol: V_speed

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Vehicle Speed

Coefficient of Friction

Coefficient of Friction is a dimensionless value that characterizes the frictional force between two surfaces in contact, affecting the sight distance on a road.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find 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 Stopping Sight Distance category

Go Kinetic Energy of Vehicle at Design Speed

K.E = \frac{W \cdot {v vehicle}^{2}}{2 \cdot [g]}

Go Work Done against Friction in Stopping Vehicle

W vehicle = f \cdot W \cdot l

Go Braking Distance of Vehicle during Braking Operation

l = \frac{{v vehicle}^{2}}{2 \cdot [g] \cdot f}

Go Maximum Frictional Force Developed during Braking Operation of Vehicle

F = \frac{W \cdot {v vehicle}^{2}}{2 \cdot [g] \cdot l}

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

Reaction Time given Stopping Sight Distance and Vehicle Velocity evaluator uses Reaction Time = (Sight Stopping Distance-(Vehicle Speed^2)/(2*[g]*Coefficient of Friction))/Vehicle Speed to evaluate the Reaction Time, Reaction Time given Stopping Sight Distance and Vehicle Velocity formula is defined as the time taken by a driver to react to a situation and bring the vehicle to a complete stop, considering the stopping sight distance and the velocity of the vehicle, which is a critical aspect of road safety and traffic engineering. Reaction Time is denoted by t_reaction symbol.

How to evaluate Reaction Time given Stopping Sight Distance and Vehicle Velocity using this online evaluator? To use this online evaluator 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.

FAQs on Reaction Time given Stopping Sight Distance and Vehicle Velocity

What is the formula to find Reaction Time given Stopping Sight Distance and Vehicle Velocity?

The formula of Reaction Time given Stopping Sight Distance and Vehicle Velocity is expressed as Reaction Time = (Sight Stopping Distance-(Vehicle Speed^2)/(2*[g]*Coefficient of Friction))/Vehicle Speed. Here is an example- 8.510223 = (61.4-(6.88^2)/(2*[g]*0.8467))/6.88.

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

With Sight Stopping Distance (SSD), Vehicle Speed (V_speed) & Coefficient of Friction (f) we can find Reaction Time given Stopping Sight Distance and Vehicle Velocity using the formula - Reaction Time = (Sight Stopping Distance-(Vehicle Speed^2)/(2*[g]*Coefficient of Friction))/Vehicle Speed. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Reaction Time given Stopping Sight Distance and Vehicle Velocity be negative?

No, the Reaction Time given Stopping Sight Distance and Vehicle Velocity, measured in Time cannot be negative.

Which unit is used to measure Reaction Time given Stopping Sight Distance and Vehicle Velocity?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Reaction Time given Stopping Sight Distance and Vehicle Velocity Formula

Reaction Time given Stopping Sight Distance and Vehicle Velocity Example

Reaction Time given Stopping Sight Distance and Vehicle Velocity Solution

Reaction Time given Stopping Sight Distance and Vehicle Velocity Formula Elements

Other formulas in Stopping Sight Distance category

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

FAQs on Reaction Time given Stopping Sight Distance and Vehicle Velocity

Variable Name