Gradient of Train for Proper Movement of Traffic Calculator

✖The angle D is the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle D [∠D]

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✖The Gradient is simply the product of the sine angle and constant 100 for the train. It is expressed in the percentage of the rise in meters in the track distance of 100 metres.ⓘ Gradient of Train for Proper Movement of Traffic [G]

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Formula

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Gradient of Train for Proper Movement of Traffic

Formula

`"G" = sin("∠D")*100`

Example

`"0.523596"=sin("0.3°")*100`

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Gradient of Train for Proper Movement of Traffic Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gradient = sin(Angle D)*100
G = sin(∠D)*100
This formula uses 1 Functions, 2 Variables

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

Gradient - The Gradient is simply the product of the sine angle and constant 100 for the train. It is expressed in the percentage of the rise in meters in the track distance of 100 metres.
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

Angle D: 0.3 Degree --> 0.005235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = sin(∠D)*100 --> sin(0.005235987755982)*100

Evaluating ... ...

G = 0.523596383141859

STEP 3: Convert Result to Output's Unit

0.523596383141859 --> No Conversion Required

FINAL ANSWER

0.523596383141859 ≈ 0.523596 <-- Gradient

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Utilization of Electrical Energy » Electric Traction » Mechanics of Train Movement » Gradient of Train for Proper Movement of Traffic

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

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

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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

Gradient of Train for Proper Movement of Traffic Formula

Gradient = sin(Angle D)*100
G = sin(∠D)*100

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 Gradient of Train for Proper Movement of Traffic?

Gradient of Train for Proper Movement of Traffic calculator uses Gradient = sin(Angle D)*100 to calculate the Gradient, The gradient of train for proper movement of traffic is provided to negotiate the rise or fall in the railway track level. A rising gradient is one in which the track rises in the direction of the movement of traffic and a down or falling gradient is one in which the track loses elevation in the direction of the movement of traffic. Gradient is denoted by G symbol.

How to calculate Gradient of Train for Proper Movement of Traffic using this online calculator? To use this online calculator for Gradient of Train for Proper Movement of Traffic, enter Angle D (∠D) and hit the calculate button. Here is how the Gradient of Train for Proper Movement of Traffic calculation can be explained with given input values -> 0.523596 = sin(0.005235987755982)*100.

FAQ

What is Gradient of Train for Proper Movement of Traffic?

The gradient of train for proper movement of traffic is provided to negotiate the rise or fall in the railway track level. A rising gradient is one in which the track rises in the direction of the movement of traffic and a down or falling gradient is one in which the track loses elevation in the direction of the movement of traffic and is represented as G = sin(∠D)*100 or Gradient = sin(Angle D)*100. The angle D is the space between two intersecting lines or surfaces at or close to the point where they meet.

How to calculate Gradient of Train for Proper Movement of Traffic?

The gradient of train for proper movement of traffic is provided to negotiate the rise or fall in the railway track level. A rising gradient is one in which the track rises in the direction of the movement of traffic and a down or falling gradient is one in which the track loses elevation in the direction of the movement of traffic is calculated using Gradient = sin(Angle D)*100. To calculate Gradient of Train for Proper Movement of Traffic, you need Angle D (∠D). With our tool, you need to enter the respective value for 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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