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Crest Speed given Time for Acceleration Formula

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

V m = t α \cdot α

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

Crest Speed given Time for Acceleration Example

With values

With units

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

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

Here is how the Crest Speed given Time for Acceleration equation looks like.

98.352 = 6.83 \cdot 14.4

98.352km/h = 6.83s \cdot 14.4km/h*s

98.352 = 6.83 \cdot 14.4

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Crest Speed given Time for Acceleration Solution

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

FIRST Step Consider the formula

V m = t α \cdot α

Next Step Substitute values of Variables

∴

V m = 6.83s \cdot 14.4km/h*s

Next Step Convert Units

∴

V m = 6.83s \cdot 4m/s²

Next Step Prepare to Evaluate

∴

V m = 6.83 \cdot 4

Next Step Evaluate

∴

V m = 27.3200000000219m/s

Next Step Convert to Output's Unit

∴

V m = 98.3520000000787km/h

LAST Step Rounding Answer

∴

V m = 98.352km/h

Crest Speed given Time for Acceleration Formula Elements

Variables

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

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

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 Crest Speed given Time for Acceleration?

Crest Speed given Time for Acceleration evaluator uses Crest Speed = Time for Acceleration*Acceleration of Train to evaluate the Crest Speed, Crest Speed given Time for Acceleration formula is defined as the product of the time for acceleration and acceleration of train. It is also known as maximum speed of train. Crest Speed is denoted by V_m symbol.

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

FAQs on Crest Speed given Time for Acceleration

What is the formula to find Crest Speed given Time for Acceleration?

The formula of Crest Speed given Time for Acceleration is expressed as Crest Speed = Time for Acceleration*Acceleration of Train. Here is an example- 354.0672 = 6.83*4.0000000000032.

How to calculate Crest Speed given Time for Acceleration?

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

Can the Crest Speed given Time for Acceleration be negative?

Yes, the Crest Speed given Time for Acceleration, measured in Speed can be negative.

Which unit is used to measure Crest Speed given Time for Acceleration?

Crest Speed given Time for Acceleration is usually measured using the Kilometer per Hour[km/h] for Speed. Meter per Second[km/h], Meter per Minute[km/h], Meter per Hour[km/h] are the few other units in which Crest Speed given Time for Acceleration can be measured.

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