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Time for Acceleration Formula

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The Time for Acceleration formula is defined as the ratio between the maximum speed (crest speed) of the train V_m and acceleration of the train α . Check FAQs

t α = \frac{V m}{α}

t_α - Time for Acceleration?V_m - Crest Speed?α - Acceleration of Train?

Time for Acceleration Example

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With units

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

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

Here is how the Time for Acceleration equation looks like.

6.8299 = \frac{98.35}{14.4}

6.8299s = \frac{98.35km/h}{14.4km/h*s}

6.8299 = \frac{98.35}{14.4}

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Time for Acceleration Solution

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

FIRST Step Consider the formula

t α = \frac{V m}{α}

Next Step Substitute values of Variables

∴

t α = \frac{98.35km/h}{14.4km/h*s}

Next Step Convert Units

∴

t α = \frac{27.3194m/s}{4m/s²}

Next Step Prepare to Evaluate

∴

t α = \frac{27.3194}{4}

Next Step Evaluate

∴

t α = 6.82986111110564s

LAST Step Rounding Answer

∴

t α = 6.8299s

Time for Acceleration Formula Elements

Variables

Time for Acceleration

The Time for Acceleration formula is defined as the ratio between the maximum speed (crest speed) of the train V_m and acceleration of the train α .

Symbol: t_α

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time for Acceleration

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

Acceleration of Train

Acceleration of Train is the rate of change in velocity to the change in time.

Symbol: α

Measurement: AccelerationUnit: km/h*s

Note: Value should be greater than 0.

Formulas to find Acceleration 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 Acceleration?

Time for Acceleration evaluator uses Time for Acceleration = Crest Speed/Acceleration of Train to evaluate the Time for Acceleration, The Time for Acceleration formula is defined asthe ratio between the maximum speed ( crest speed) of the train V_m and acceleration of the train α . It is denoted as t₁ . Time for Acceleration is denoted by t_α symbol.

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

FAQs on Time for Acceleration

What is the formula to find Time for Acceleration?

The formula of Time for Acceleration is expressed as Time for Acceleration = Crest Speed/Acceleration of Train. Here is an example- 6.829861 = 27.3194444444444/4.0000000000032.

How to calculate Time for Acceleration?

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

Can the Time for Acceleration be negative?

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

Which unit is used to measure Time for Acceleration?

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

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