Energy Consumption for Overcoming Gradient and Tracking Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train
EG = Ft*V*Ttrain
This formula uses 4 Variables
Variables Used
Energy Consumption for Overcoming Gradient - (Measured in Joule) - Energy consumption for overcoming gradient and tracking resistance refers to the amount of energy required to move an object such as gravity, in order to maintain a desired velocity or position.
Tractive Effort - (Measured in Newton) - Tractive Effort, the term tractive force can either refer to the total traction a vehicle exerts on a surface, or the amount of the total traction that is parallel to the direction of motion.
Velocity - (Measured in Meter per Second) - Velocity is defined as the ratio of distance that an object travels to the time for which the object has travelled.
Time Taken by Train - (Measured in Second) - Time taken by train is the total time elapsed by the train to move from one place to another, excluding the stop time.
STEP 1: Convert Input(s) to Base Unit
Tractive Effort: 545 Newton --> 545 Newton No Conversion Required
Velocity: 150 Kilometer per Hour --> 41.6666666666667 Meter per Second (Check conversion here)
Time Taken by Train: 9 Minute --> 540 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EG = Ft*V*Ttrain --> 545*41.6666666666667*540
Evaluating ... ...
EG = 12262500
STEP 3: Convert Result to Output's Unit
12262500 Joule -->3406.25 Watt-Hour (Check conversion here)
FINAL ANSWER
3406.25 Watt-Hour <-- Energy Consumption for Overcoming Gradient
(Calculation completed in 00.004 seconds)

Credits

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

15 Traction Physics Calculators

Tractive Effort on Driven Wheel
Go Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel
Energy Available during Regeneration
Go Energy Consumption during Regeneration = 0.01072*(Accelerating Weight of Train/Weight of Train)*(Final Velocity^2-Initial Velocity^2)
Tractive Effort during Acceleration
Go Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)
Slip of Scherbius Drive given RMS Line Voltage
Go Slip = (Back Emf/RMS Value of Rotor Side Line Voltage)*modulus(cos(Firing Angle))
Tractive Effort Required while going down Gradient
Go Down Gradient Tractive Effort = (Weight of Train*Specific Resistance Train)-(98.1*Weight of Train*Gradient)
Tractive Effort Required during Free-Running
Go Free Run Tractive Effort = (98.1*Weight of Train*Gradient)+(Weight of Train*Specific Resistance Train)
Total Tractive Effort Required for Propulsion of Train
Go Train Tractive Effort = Resistance Overcome Tractive Effort+Gravity Overcome Tractive Effort+Force
Tractive Effort Required to Overcome Effect of Gravity
Go Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D)
Tractive Effort at Wheel
Go Wheel Tractive Effort = (Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel
Energy Consumption for Overcoming Gradient and Tracking Resistance
Go Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train
Power Output of Motor using Efficiency of Gear Transmission
Go Power Output Train = (Tractive Effort*Velocity)/(3600*Gear Efficiency)
Tractive Effort Required for Linear and Angular Acceleration
Go Angular Accelration Tractive Effort = 27.88*Weight of Train*Acceleration of Train
Tractive Effort Required to Overcome Train Resistance
Go Resistance Overcome Tractive Effort = Specific Resistance Train*Weight of Train
Tractive Effort at Edge of Pinion
Go Pinion Edge Tractive Effort = (2*Engine Torque)/Diameter of Pinion 1
Tractive Effort Required to Overcome Effect of Gravity given Gradient during up Gradient
Go Tractive Effort of Up Gradient = 98.1*Weight of Train*Gradient

Energy Consumption for Overcoming Gradient and Tracking Resistance Formula

Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train
EG = Ft*V*Ttrain

Why is the Tractive Effort required?

Tractive effort is required to overcome the gravity component of train mass; overcome friction, windage and curve resistance and accelerate the train mass.

How to Calculate Energy Consumption for Overcoming Gradient and Tracking Resistance?

Energy Consumption for Overcoming Gradient and Tracking Resistance calculator uses Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train to calculate the Energy Consumption for Overcoming Gradient, The Energy consumption for overcoming gradient and tracking resistance is given by product of tractive effort, velocity and time. Energy Consumption for Overcoming Gradient is denoted by EG symbol.

How to calculate Energy Consumption for Overcoming Gradient and Tracking Resistance using this online calculator? To use this online calculator for Energy Consumption for Overcoming Gradient and Tracking Resistance, enter Tractive Effort (Ft), Velocity (V) & Time Taken by Train (Ttrain) and hit the calculate button. Here is how the Energy Consumption for Overcoming Gradient and Tracking Resistance calculation can be explained with given input values -> 0.946181 = 545*41.6666666666667*540.

FAQ

What is Energy Consumption for Overcoming Gradient and Tracking Resistance?
The Energy consumption for overcoming gradient and tracking resistance is given by product of tractive effort, velocity and time and is represented as EG = Ft*V*Ttrain or Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train. Tractive Effort, the term tractive force can either refer to the total traction a vehicle exerts on a surface, or the amount of the total traction that is parallel to the direction of motion, Velocity is defined as the ratio of distance that an object travels to the time for which the object has travelled & Time taken by train is the total time elapsed by the train to move from one place to another, excluding the stop time.
How to calculate Energy Consumption for Overcoming Gradient and Tracking Resistance?
The Energy consumption for overcoming gradient and tracking resistance is given by product of tractive effort, velocity and time is calculated using Energy Consumption for Overcoming Gradient = Tractive Effort*Velocity*Time Taken by Train. To calculate Energy Consumption for Overcoming Gradient and Tracking Resistance, you need Tractive Effort (Ft), Velocity (V) & Time Taken by Train (Ttrain). With our tool, you need to enter the respective value for Tractive Effort, Velocity & Time Taken by 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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