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Tractive Effort Required while going down Gradient Formula

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Down Gradient Tractive Effort a vehicle is moving down a gradient, the tractive effort required to maintain its speed or slow down is reduced force of gravity in the same direction. Check FAQs

F down = (W \cdot R sp) - (98.1 \cdot W \cdot G)

F_down - Down Gradient Tractive Effort?W - Weight of Train?R_sp - Specific Resistance Train?G - Gradient?

Tractive Effort Required while going down Gradient Example

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Here is how the Tractive Effort Required while going down Gradient equation looks like with Values.

Here is how the Tractive Effort Required while going down Gradient equation looks like with Units.

Here is how the Tractive Effort Required while going down Gradient equation looks like.

-36585.5042 = (30000 \cdot 9.2) - (98.1 \cdot 30000 \cdot 0.52)

-36585.5042N = (30000AT (US) \cdot 9.2) - (98.1 \cdot 30000AT (US) \cdot 0.52)

-36585.5042 = (30000 \cdot 9.2) - (98.1 \cdot 30000 \cdot 0.52)

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Tractive Effort Required while going down Gradient Solution

Follow our step by step solution on how to calculate Tractive Effort Required while going down Gradient?

FIRST Step Consider the formula

F down = (W \cdot R sp) - (98.1 \cdot W \cdot G)

Next Step Substitute values of Variables

∴

F down = (30000AT (US) \cdot 9.2) - (98.1 \cdot 30000AT (US) \cdot 0.52)

Next Step Convert Units

∴

F down = (875.0001kg \cdot 9.2) - (98.1 \cdot 875.0001kg \cdot 0.52)

Next Step Prepare to Evaluate

∴

F down = (875.0001 \cdot 9.2) - (98.1 \cdot 875.0001 \cdot 0.52)

Next Step Evaluate

∴

F down = -36585.5041815707N

LAST Step Rounding Answer

∴

F down = -36585.5042N

Tractive Effort Required while going down Gradient Formula Elements

Variables

Down Gradient Tractive Effort

Down Gradient Tractive Effort a vehicle is moving down a gradient, the tractive effort required to maintain its speed or slow down is reduced force of gravity in the same direction.

Symbol: F_down

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Down Gradient Tractive Effort

Weight of Train

Weight of Train is total weight of the train in tonns.

Symbol: W

Measurement: WeightUnit: AT (US)

Note: Value can be positive or negative.

Formulas to find Weight of Train

Specific Resistance Train

Specific Resistance Train is defined in terms of force required to encounter resistance arising due to vehicle, track, grade, curve, acceleration, wind at different time and place etc.

Symbol: R_sp

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Resistance Train

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.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Gradient

Other formulas in Tractive Effort category

Go Total Tractive Effort Required for Propulsion of Train

F train = F or + F og + F

Go Tractive Effort at Edge of Pinion

F pin = \frac{2 \cdot τ e}{d 1}

Go Tractive Effort at Wheel

F w = \frac{F pin \cdot d 2}{d}

Go Tractive Effort during Acceleration

F α = (277.8 \cdot W e \cdot α) + (W \cdot R sp)

How to Evaluate Tractive Effort Required while going down Gradient?

Tractive Effort Required while going down Gradient evaluator uses Down Gradient Tractive Effort = (Weight of Train*Specific Resistance Train)-(98.1*Weight of Train*Gradient) to evaluate the Down Gradient Tractive Effort, The tractive effort required while going down gradient formula is defined as the difference between the product of the weight of the train and specific train resistance to the tractive effort of gravity. Down Gradient Tractive Effort is denoted by F_down symbol.

How to evaluate Tractive Effort Required while going down Gradient using this online evaluator? To use this online evaluator for Tractive Effort Required while going down Gradient, enter Weight of Train (W), Specific Resistance Train (R_sp) & Gradient (G) and hit the calculate button.

FAQs on Tractive Effort Required while going down Gradient

What is the formula to find Tractive Effort Required while going down Gradient?

The formula of Tractive Effort Required while going down Gradient is expressed as Down Gradient Tractive Effort = (Weight of Train*Specific Resistance Train)-(98.1*Weight of Train*Gradient). Here is an example- -36585.504182 = (875.000100008866*9.2)-(98.1*875.000100008866*0.52).

How to calculate Tractive Effort Required while going down Gradient?

With Weight of Train (W), Specific Resistance Train (R_sp) & Gradient (G) we can find Tractive Effort Required while going down Gradient using the formula - Down Gradient Tractive Effort = (Weight of Train*Specific Resistance Train)-(98.1*Weight of Train*Gradient).

Can the Tractive Effort Required while going down Gradient be negative?

Yes, the Tractive Effort Required while going down Gradient, measured in Force can be negative.

Which unit is used to measure Tractive Effort Required while going down Gradient?

Tractive Effort Required while going down Gradient is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Tractive Effort Required while going down Gradient can be measured.

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Tractive Effort Required while going down Gradient Formula

Tractive Effort Required while going down Gradient Example

Tractive Effort Required while going down Gradient Solution

Tractive Effort Required while going down Gradient Formula Elements

Other formulas in Tractive Effort category

How to Evaluate Tractive Effort Required while going down Gradient?

FAQs on Tractive Effort Required while going down Gradient

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