Retardation of Train Calculator

✖Crest Speed is the maximum speed attained by the train during the run.ⓘ Crest Speed [V_m]			+10% -10%
✖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 .ⓘ Time for Retardation [t_β]			+10% -10%

✖Retardation of Train is the rate of change in velocity to the change in time but have negative velocity or decrease in velocity.ⓘ Retardation of Train [β]

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Formula

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Retardation of Train

Formula

`"β" = "V"_{"m"}/"t"_{"β"}`

Example

`"10.36354km/h*s"="98.35km/h"/"9.49s"`

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Retardation of Train Solution

STEP 0: Pre-Calculation Summary

Formula Used

Retardation of Train = Crest Speed/Time for Retardation
β = V_m/t_β
This formula uses 3 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Crest Speed: 98.35 Kilometer per Hour --> 27.3194444444444 Meter per Second (Check conversion here)
Time for Retardation: 9.49 Second --> 9.49 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = V_m/t_β --> 27.3194444444444/9.49

Evaluating ... ...

β = 2.87876126917222

STEP 3: Convert Result to Output's Unit

2.87876126917222 Meter per Square Second -->10.3635405690117 Kilometer per Hour Second (Check conversion here)

FINAL ANSWER

10.3635405690117 ≈ 10.36354 Kilometer per Hour Second <-- Retardation of Train

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

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Birsa Institute of Technology (BIT), Sindri

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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

Retardation of Train Formula

Retardation of Train = Crest Speed/Time for Retardation
β = V_m/t_β

Which type of the motor used in electric traction?

The motor used in electric traction is 3 phase induction motor. For electric traction, DC series motors are best suited. DC series motors and AC series motors are very much recommended, as they provide a high starting torque Nowadays three-phase induction motors are also being used.

How to Calculate Retardation of Train?

Retardation of Train calculator uses Retardation of Train = Crest Speed/Time for Retardation to calculate the Retardation of Train, The Retardation of Train formula is defined as the ratio of the crest speed V_m to the time for retardation t₂ . Retardation of Train is denoted by β symbol.

How to calculate Retardation of Train using this online calculator? To use this online calculator for Retardation of Train, enter Crest Speed (V_m) & Time for Retardation (t_β) and hit the calculate button. Here is how the Retardation of Train calculation can be explained with given input values -> 37.30875 = 27.3194444444444/9.49.

FAQ

What is Retardation of Train?

The Retardation of Train formula is defined as the ratio of the crest speed V_m to the time for retardation t₂ and is represented as β = V_m/t_β or Retardation of Train = Crest Speed/Time for Retardation. Crest Speed is the maximum speed attained by the train during the run & 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 .

How to calculate Retardation of Train?

The Retardation of Train formula is defined as the ratio of the crest speed V_m to the time for retardation t₂ is calculated using Retardation of Train = Crest Speed/Time for Retardation. To calculate Retardation of Train, you need Crest Speed (V_m) & Time for Retardation (t_β). With our tool, you need to enter the respective value for Crest Speed & Time for Retardation 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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