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Time for Retardation Formula

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The Time for Retardation formula is defined as the ratio between the maximum speed (crest speed) of the train Vm and retardation of the train β . Check FAQs

t β = \frac{V m}{β}

t_β - Time for Retardation?V_m - Crest Speed?β - Retardation of Train?

Time for Retardation Example

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With units

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Here is how the Time for Retardation equation looks like with Values.

Here is how the Time for Retardation equation looks like with Units.

Here is how the Time for Retardation equation looks like.

9.4932 = \frac{98.35}{10.36}

9.4932s = \frac{98.35km/h}{10.36km/h*s}

9.4932 = \frac{98.35}{10.36}

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Time for Retardation Solution

Follow our step by step solution on how to calculate Time for Retardation?

FIRST Step Consider the formula

t β = \frac{V m}{β}

Next Step Substitute values of Variables

∴

t β = \frac{98.35km/h}{10.36km/h*s}

Next Step Convert Units

∴

t β = \frac{27.3194m/s}{2.8778m/s²}

Next Step Prepare to Evaluate

∴

t β = \frac{27.3194}{2.8778}

Next Step Evaluate

∴

t β = 9.49324324323563s

LAST Step Rounding Answer

∴

t β = 9.4932s

Time for Retardation Formula Elements

Variables

Time for Retardation

The Time for Retardation formula is defined as the ratio between the maximum speed (crest speed) of the train Vm and retardation of the train β .

Symbol: t_β

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time for Retardation

Crest Speed

Crest Speed is the maximum speed attained by the train during the run.

Symbol: V_m

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Formulas to find Crest Speed

Retardation of Train

Retardation of Train is the rate of change in velocity to the change in time but have negative velocity or decrease in velocity.

Symbol: β

Measurement: AccelerationUnit: km/h*s

Note: Value can be positive or negative.

Formulas to find Retardation of Train

Other formulas in Mechanics of Train Movement category

Go Torque Generated by Scherbius Drive

τ = 1.35 \cdot (\frac{E b \cdot E L \cdot I r \cdot E r}{E b \cdot ω f})

Go Torque of Squirrel Cage Induction Motor

τ = \frac{K \cdot E^{2} \cdot R r}{{(R s + R r)}^{2} + {(X s + X r)}^{2}}

Go Accelerating Weight of Train

W e = W \cdot 1.10

Go Aerodynamic Drag Force

F drag = C drag \cdot (\frac{ρ \cdot {V f}^{2}}{2}) \cdot A ref

How to Evaluate Time for Retardation?

Time for Retardation evaluator uses Time for Retardation = Crest Speed/Retardation of Train to evaluate the Time for Retardation, Time for Retardation formula is defined as the ratio of the crest speed V_m to the retardation of the train ( negative acceleration) β. Time for Retardation is denoted by t_β symbol.

How to evaluate Time for Retardation using this online evaluator? To use this online evaluator for Time for Retardation, enter Crest Speed (V_m) & Retardation of Train (β) and hit the calculate button.

FAQs on Time for Retardation

What is the formula to find Time for Retardation?

The formula of Time for Retardation is expressed as Time for Retardation = Crest Speed/Retardation of Train. Here is an example- 9.493243 = 27.3194444444444/2.87777777778008.

How to calculate Time for Retardation?

With Crest Speed (V_m) & Retardation of Train (β) we can find Time for Retardation using the formula - Time for Retardation = Crest Speed/Retardation of Train.

Can the Time for Retardation be negative?

No, the Time for Retardation, measured in Time cannot be negative.

Which unit is used to measure Time for Retardation?

Time for Retardation is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time for Retardation can be measured.

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