Tractive Effort Required to Overcome Effect of Gravity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D)
Fg = 1000*W*[g]*sin(∠D)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Gravity Tractive Effort - (Measured in Newton) - Gravity Tractive Effort of gravity effect is overcome the effect of gravity, a tractive effort must be greater than the weight of the vehicle or load being moved.
Weight of Train - (Measured in Kilogram) - Weight of Train is total weight of the train in tonns.
Angle D - (Measured in Radian) - The angle D is the space between two intersecting lines or surfaces at or close to the point where they meet.
STEP 1: Convert Input(s) to Base Unit
Weight of Train: 30000 Ton (Assay) (US) --> 875.000100008866 Kilogram (Check conversion here)
Angle D: 0.3 Degree --> 0.005235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fg = 1000*W*[g]*sin(∠D) --> 1000*875.000100008866*[g]*sin(0.005235987755982)
Evaluating ... ...
Fg = 44928.8617541402
STEP 3: Convert Result to Output's Unit
44928.8617541402 Newton --> No Conversion Required
FINAL ANSWER
44928.8617541402 44928.86 Newton <-- Gravity Tractive Effort
(Calculation completed in 00.004 seconds)

Credits

Created by Prahalad Singh
Jaipur Engineering College and Research Centre (JECRC), Jaipur
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National Institute Of Technology (NIT), Hamirpur
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11 Tractive Effort 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
Tractive Effort during Acceleration
Go Acceleration Tractive Effort = (277.8*Accelerating Weight of Train*Acceleration of Train)+(Weight of Train*Specific Resistance Train)
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
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

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

Tractive Effort Required to Overcome Effect of Gravity Formula

Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D)
Fg = 1000*W*[g]*sin(∠D)

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 Tractive Effort Required to Overcome Effect of Gravity?

Tractive Effort Required to Overcome Effect of Gravity calculator uses Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D) to calculate the Gravity Tractive Effort, Tractive effort required to overcome effect of gravity during up gradient formula is defined as the product of the gravity acceleration, weight of train, sine angle with constant 1000. Gravity Tractive Effort is denoted by Fg symbol.

How to calculate Tractive Effort Required to Overcome Effect of Gravity using this online calculator? To use this online calculator for Tractive Effort Required to Overcome Effect of Gravity, enter Weight of Train (W) & Angle D (∠D) and hit the calculate button. Here is how the Tractive Effort Required to Overcome Effect of Gravity calculation can be explained with given input values -> 44928.86 = 1000*875.000100008866*[g]*sin(0.005235987755982).

FAQ

What is Tractive Effort Required to Overcome Effect of Gravity?
Tractive effort required to overcome effect of gravity during up gradient formula is defined as the product of the gravity acceleration, weight of train, sine angle with constant 1000 and is represented as Fg = 1000*W*[g]*sin(∠D) or Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D). Weight of Train is total weight of the train in tonns & The angle D is the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Tractive Effort Required to Overcome Effect of Gravity?
Tractive effort required to overcome effect of gravity during up gradient formula is defined as the product of the gravity acceleration, weight of train, sine angle with constant 1000 is calculated using Gravity Tractive Effort = 1000*Weight of Train*[g]*sin(Angle D). To calculate Tractive Effort Required to Overcome Effect of Gravity, you need Weight of Train (W) & Angle D (∠D). With our tool, you need to enter the respective value for Weight of Train & Angle D 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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