Crest Speed given Time for Acceleration Calculator

✖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 .ⓘ Time for Acceleration [t_α]			+10% -10%
✖Acceleration of Train is the rate of change in velocity to the change in time.ⓘ Acceleration of Train [α]			+10% -10%

✖Crest Speed is the maximum speed attained by the train during the run.ⓘ Crest Speed given Time for Acceleration [V_m]

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Formula

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Crest Speed given Time for Acceleration

Formula

`"V"_{"m"} = "t"_{"α"}*"α"`

Example

`"98.352km/h"="6.83s"*"14.40km/h*s"`

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Crest Speed given Time for Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Crest Speed = Time for Acceleration*Acceleration of Train
V_m = t_α*α
This formula uses 3 Variables

Variables Used

Crest Speed - (Measured in Meter per Second) - Crest Speed is the maximum speed attained by the train during the run.
Time for Acceleration - (Measured in Second) - 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 .
Acceleration of Train - (Measured in Meter per Square Second) - Acceleration of Train is the rate of change in velocity to the change in time.

STEP 1: Convert Input(s) to Base Unit

Time for Acceleration: 6.83 Second --> 6.83 Second No Conversion Required
Acceleration of Train: 14.4 Kilometer per Hour Second --> 4.0000000000032 Meter per Square Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = t_α*α --> 6.83*4.0000000000032

Evaluating ... ...

V_m = 27.3200000000219

STEP 3: Convert Result to Output's Unit

27.3200000000219 Meter per Second -->98.3520000000787 Kilometer per Hour (Check conversion here)

FINAL ANSWER

98.3520000000787 ≈ 98.352 Kilometer per Hour <-- Crest Speed

(Calculation completed in 00.004 seconds)

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Jaipur Engineering College and Research Centre (JECRC), Jaipur

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< 13 Mechanics of Train Movement Calculators

Translational Speed of Wheel Center

Go Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive)

Wheel Force Function

Go Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)

Rotating Speed of Driven Wheel

Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)

Aerodynamic Drag Force

Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area

Schedule Speed

Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)

Crest Speed given Time for Acceleration

Go Crest Speed = Time for Acceleration*Acceleration of Train

Coefficient of Adhesion

Go Coefficient of Adhesion = Tractive Effort/Weight of Train

Time for Acceleration

Go Time for Acceleration = Crest Speed/Acceleration of Train

Schedule Time

Go Schedule Time = Running Time of Train+Stop Time of Train

Retardation of Train

Go Retardation of Train = Crest Speed/Time for Retardation

Time for Retardation

Go Time for Retardation = Crest Speed/Retardation of Train

Gradient of Train for Proper Movement of Traffic

Go Gradient = sin(Angle D)*100

Accelerating Weight of Train

Go Accelerating Weight of Train = Weight of Train*1.10

< 15 Electric Train Physics Calculators

Torque of Squirrel Cage Induction Motor

Go Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)

Torque Generated by Scherbius Drive

Go Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))

Wheel Force Function

Go Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)

Rotating Speed of Driven Wheel

Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)

Aerodynamic Drag Force

Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area

Schedule Speed

Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)

Energy Consumption for Run

Go Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration

Crest Speed given Time for Acceleration

Go Crest Speed = Time for Acceleration*Acceleration of Train

Maximum Power Output from Driving Axle

Go Maximum Output Power = (Tractive Effort*Crest Speed)/3600

Coefficient of Adhesion

Go Coefficient of Adhesion = Tractive Effort/Weight of Train

Time for Acceleration

Go Time for Acceleration = Crest Speed/Acceleration of Train

Schedule Time

Go Schedule Time = Running Time of Train+Stop Time of Train

Retardation of Train

Go Retardation of Train = Crest Speed/Time for Retardation

Time for Retardation

Go Time for Retardation = Crest Speed/Retardation of Train

Accelerating Weight of Train

Go Accelerating Weight of Train = Weight of Train*1.10

Crest Speed given Time for Acceleration Formula

Crest Speed = Time for Acceleration*Acceleration of Train
V_m = t_α*α

What is the notching period in the speed-time curve for trains?

In the speed-time curve for trains, the notching period is Constant Acceleration Period.The slope of the speed-time curve at any point gives the Acceleration of the train at that point of time and Retardation of the train at that point of time.

How to Calculate Crest Speed given Time for Acceleration?

Crest Speed given Time for Acceleration calculator uses Crest Speed = Time for Acceleration*Acceleration of Train to calculate 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 calculate Crest Speed given Time for Acceleration using this online calculator? To use this online calculator for Crest Speed given Time for Acceleration, enter Time for Acceleration (t_α) & Acceleration of Train (α) and hit the calculate button. Here is how the Crest Speed given Time for Acceleration calculation can be explained with given input values -> 354.0672 = 6.83*4.0000000000032.

FAQ

What is Crest Speed given Time for Acceleration?

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 and is represented as V_m = t_α*α or Crest Speed = Time for Acceleration*Acceleration of Train. 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 & Acceleration of Train is the rate of change in velocity to the change in time.

How to calculate Crest Speed given Time for Acceleration?

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 is calculated using Crest Speed = Time for Acceleration*Acceleration of Train. To calculate Crest Speed given Time for Acceleration, you need Time for Acceleration (t_α) & Acceleration of Train (α). With our tool, you need to enter the respective value for Time for Acceleration & Acceleration of Train and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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