Time for Retardation Calculator

✖Crest Speed is the maximum speed attained by the train during the run.ⓘ Crest Speed [V_m]			+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]			+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]

⎘ Copy

👎

Formula

✖

Time for Retardation

Formula

`"t"_{"β"} = "V"_{"m"}/"β"`

Example

`"9.493243s"="98.35km/h"/"10.36km/h*s"`

Calculator

LaTeX

Reset

👍

Download Electric Traction Formula PDF

Time for Retardation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 .
Crest Speed - (Measured in Meter per Second) - Crest Speed is the maximum speed attained by the train during the run.
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.

STEP 1: Convert Input(s) to Base Unit

Crest Speed: 98.35 Kilometer per Hour --> 27.3194444444444 Meter per Second (Check conversion here)
Retardation of Train: 10.36 Kilometer per Hour Second --> 2.87777777778008 Meter per Square Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_β = V_m/β --> 27.3194444444444/2.87777777778008

Evaluating ... ...

t_β = 9.49324324323563

STEP 3: Convert Result to Output's Unit

9.49324324323563 Second --> No Conversion Required

FINAL ANSWER

9.49324324323563 ≈ 9.493243 Second <-- Time for Retardation

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electrical » Utilization of Electrical Energy » Electric Traction » Mechanics of Train Movement » Time for Retardation

Credits

Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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

Time for Retardation Formula

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

What is Braking Retardation on suburban trains ?

Braking retardation on suburban trains is 3 to 5 km/h/sec. In suburban service, the distance between two adjacent stops for an electric train is lying between 1 and 8 km. In this service, the distance between stops is more than the urban service and smaller than the mainline service.

How to Calculate Time for Retardation?

Time for Retardation calculator uses Time for Retardation = Crest Speed/Retardation of Train to calculate 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 calculate Time for Retardation using this online calculator? To use this online calculator for Time for Retardation, enter Crest Speed (V_m) & Retardation of Train (β) and hit the calculate button. Here is how the Time for Retardation calculation can be explained with given input values -> 9.493243 = 27.3194444444444/2.87777777778008.

FAQ

What is 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 and is represented as t_β = V_m/β or Time for Retardation = Crest Speed/Retardation of Train. Crest Speed is the maximum speed attained by the train during the run & Retardation of Train is the rate of change in velocity to the change in time but have negative velocity or decrease in velocity.

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

Home

FREE PDFs

🔍 Search