Energy Available due to Reduction in Speed Calculator

✖Accelerating Weight of Train is the effective weight of train that has angular acceleration due to the rotational inertia including the dead weight of the train.ⓘ Accelerating Weight of Train [W_e]			+10% -10%
✖Final Velocity is defined as a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.ⓘ Final Velocity [v]			+10% -10%
✖Initial Velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts.ⓘ Initial Velocity [u]			+10% -10%

✖Energy Consumption by Train is the total energy consumed by the train during travel.ⓘ Energy Available due to Reduction in Speed [E_o]

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Formula

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Energy Available due to Reduction in Speed

Formula

`"E"_{"o"} = 0.01072*"W"_{"e"}*"v"^2-"u"^2`

Example

`"4.318834W*h"=0.01072*"33000AT (US)"*("144km/h")^2-("111.6km/h")^2`

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Energy Available due to Reduction in Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Consumption by Train = 0.01072*Accelerating Weight of Train*Final Velocity^2-Initial Velocity^2
E_o = 0.01072*W_e*v^2-u^2
This formula uses 4 Variables

Variables Used

Energy Consumption by Train - (Measured in Joule) - Energy Consumption by Train is the total energy consumed by the train during travel.
Accelerating Weight of Train - (Measured in Kilogram) - Accelerating Weight of Train is the effective weight of train that has angular acceleration due to the rotational inertia including the dead weight of the train.
Final Velocity - (Measured in Meter per Second) - Final Velocity is defined as a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts.

STEP 1: Convert Input(s) to Base Unit

Accelerating Weight of Train: 33000 Ton (Assay) (US) --> 962.500110009752 Kilogram (Check conversion here)
Final Velocity: 144 Kilometer per Hour --> 40 Meter per Second (Check conversion here)
Initial Velocity: 111.6 Kilometer per Hour --> 31 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_o = 0.01072*W_e*v^2-u^2 --> 0.01072*962.500110009752*40^2-31^2

Evaluating ... ...

E_o = 15547.8018868873

STEP 3: Convert Result to Output's Unit

15547.8018868873 Joule -->4.31883385746869 Watt-Hour (Check conversion here)

FINAL ANSWER

4.31883385746869 ≈ 4.318834 Watt-Hour <-- Energy Consumption by 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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< 8 Power & Energy Calculators

Energy Consumption at Axle of Train

Go Energy Consumption at Axle of Train = 0.01072*(Crest Speed^2/Distance Travelled by Train)*(Accelerating Weight of Train/Weight of Train)+0.2778*Specific Resistance Train*(Diameter of Pinion 1/Distance Travelled by Train)

Energy Available during Regeneration

Go Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2)

Energy Available due to Reduction in Speed

Go Energy Consumption by Train = 0.01072*Accelerating Weight of Train*Final Velocity^2-Initial Velocity^2

Specific Energy Consumption

Go Specific Energy Consumption = Energy required by Train/(Weight of Train*Distance Travelled by Train)

Energy Consumption for Overcoming Gradient and Tracking Resistance

Go Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train

Energy Consumption for Run

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

Power Output of Motor using Efficiency of Gear Transmission

Go Power Output Train = (Tractive Effort*Velocity)/(3600*Gear Efficiency)

Maximum Power Output from Driving Axle

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

Energy Available due to Reduction in Speed Formula

Energy Consumption by Train = 0.01072*Accelerating Weight of Train*Final Velocity^2-Initial Velocity^2
E_o = 0.01072*W_e*v^2-u^2

What is the rate of acceleration on suburban or urban service ?

The rate of acceleration on suburban or urban service is in the range of 1.6 to 4.0 km per hour per second.

How to Calculate Energy Available due to Reduction in Speed?

Energy Available due to Reduction in Speed calculator uses Energy Consumption by Train = 0.01072*Accelerating Weight of Train*Final Velocity^2-Initial Velocity^2 to calculate the Energy Consumption by Train, The energy available due to reduction in speed is the amount of energy when there is a reduction in the speed of the train which is measured in kW -hr. Energy Consumption by Train is denoted by E_o symbol.

How to calculate Energy Available due to Reduction in Speed using this online calculator? To use this online calculator for Energy Available due to Reduction in Speed, enter Accelerating Weight of Train (W_e), Final Velocity (v) & Initial Velocity (u) and hit the calculate button. Here is how the Energy Available due to Reduction in Speed calculation can be explained with given input values -> 0.0012 = 0.01072*962.500110009752*40^2-31^2.

FAQ

What is Energy Available due to Reduction in Speed?

The energy available due to reduction in speed is the amount of energy when there is a reduction in the speed of the train which is measured in kW -hr and is represented as E_o = 0.01072*W_e*v^2-u^2 or Energy Consumption by Train = 0.01072*Accelerating Weight of Train*Final Velocity^2-Initial Velocity^2. Accelerating Weight of Train is the effective weight of train that has angular acceleration due to the rotational inertia including the dead weight of the train, Final Velocity is defined as a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration & Initial Velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts.

How to calculate Energy Available due to Reduction in Speed?

The energy available due to reduction in speed is the amount of energy when there is a reduction in the speed of the train which is measured in kW -hr is calculated using Energy Consumption by Train = 0.01072*Accelerating Weight of Train*Final Velocity^2-Initial Velocity^2. To calculate Energy Available due to Reduction in Speed, you need Accelerating Weight of Train (W_e), Final Velocity (v) & Initial Velocity (u). With our tool, you need to enter the respective value for Accelerating Weight of Train, Final Velocity & Initial Velocity 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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