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Tractive Effort on Driven Wheel Formula

GoTractive Effort at Wheel Formula

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Wheel tractive effort refers to the force that a locomotive or a vehicle's drive wheels apply to the track or the road to propel the vehicle forward. Check FAQs

F w = \frac{i \cdot i o \cdot (\frac{η dl}{100}) \cdot T pp}{r d}

F_w - Wheel Tractive Effort?i - Gear Ratio of Transmission?i_o - Gear Ratio of Final Drive?η_dl - Efficiency of Driveline?T_pp - Torque Output from Powerplant?r_d - Effective Radius of Wheel?

Tractive Effort on Driven Wheel Example

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Here is how the Tractive Effort on Driven Wheel equation looks like with Values.

Here is how the Tractive Effort on Driven Wheel equation looks like with Units.

Here is how the Tractive Effort on Driven Wheel equation looks like.

33.2802 = \frac{2.55 \cdot 2 \cdot (\frac{5.2}{100}) \cdot 56.471}{0.45}

33.2802N = \frac{2.55 \cdot 2 \cdot (\frac{5.2}{100}) \cdot 56.471N*m}{0.45m}

33.2802 = \frac{2.55 \cdot 2 \cdot (\frac{5.2}{100}) \cdot 56.471}{0.45}

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Tractive Effort on Driven Wheel Solution

Follow our step by step solution on how to calculate Tractive Effort on Driven Wheel?

FIRST Step Consider the formula

F w = \frac{i \cdot i o \cdot (\frac{η dl}{100}) \cdot T pp}{r d}

Next Step Substitute values of Variables

∴

F w = \frac{2.55 \cdot 2 \cdot (\frac{5.2}{100}) \cdot 56.471N*m}{0.45m}

Next Step Prepare to Evaluate

∴

F w = \frac{2.55 \cdot 2 \cdot (\frac{5.2}{100}) \cdot 56.471}{0.45}

Next Step Evaluate

∴

F w = 33.2802426666667N

LAST Step Rounding Answer

∴

F w = 33.2802N

Tractive Effort on Driven Wheel Formula Elements

Variables

Wheel Tractive Effort

Wheel tractive effort refers to the force that a locomotive or a vehicle's drive wheels apply to the track or the road to propel the vehicle forward.

Symbol: F_w

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Wheel Tractive Effort

Gear Ratio of Transmission

Gear Ratio of Transmission is the ratio between the revolutions of the engine crankshaft and the revolutions of the shaft which comes out of the gearbox.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gear Ratio of Transmission

Gear Ratio of Final Drive

Gear Ratio of Final Drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels.

Symbol: i_o

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gear Ratio of Final Drive

Efficiency of Driveline

Efficiency of driveline from power plant (Engine or Motor or combination of both) to the driven wheels.

Symbol: η_dl

Measurement: NAUnit: Unitless

Note: Value should be less than 100.

Formulas to find Efficiency of Driveline

Torque Output from Powerplant

Torque output from powerplant is the torque produced by the engine or motor or combination of both, depending upon the torque required at the wheel to propel the vehicle.

Symbol: T_pp

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Output from Powerplant

Effective Radius of Wheel

The Effective Radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.

Symbol: r_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Radius of Wheel

Other Formulas to find Wheel Tractive Effort

Go Tractive Effort at Wheel

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

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 during Acceleration

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

Go Tractive Effort Required during Free-Running

F free = (98.1 \cdot W \cdot G) + (W \cdot R sp)

How to Evaluate Tractive Effort on Driven Wheel?

Tractive Effort on Driven Wheel evaluator uses Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel to evaluate the Wheel Tractive Effort, The Tractive effort on driven wheel is defined as the force exerted by the vehicle to the outer edges of the wheels to accelerate the vehicle and overcome the friction, windage and curve resistance. Wheel Tractive Effort is denoted by F_w symbol.

How to evaluate Tractive Effort on Driven Wheel using this online evaluator? To use this online evaluator for Tractive Effort on Driven Wheel, enter Gear Ratio of Transmission (i), Gear Ratio of Final Drive (i_o), Efficiency of Driveline (η_dl), Torque Output from Powerplant (T_pp) & Effective Radius of Wheel (r_d) and hit the calculate button.

FAQs on Tractive Effort on Driven Wheel

What is the formula to find Tractive Effort on Driven Wheel?

The formula of Tractive Effort on Driven Wheel is expressed as Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel. Here is an example- 33.28024 = (2.55*2*(5.2/100)*56.471)/0.45.

How to calculate Tractive Effort on Driven Wheel?

With Gear Ratio of Transmission (i), Gear Ratio of Final Drive (i_o), Efficiency of Driveline (η_dl), Torque Output from Powerplant (T_pp) & Effective Radius of Wheel (r_d) we can find Tractive Effort on Driven Wheel using the formula - Wheel Tractive Effort = (Gear Ratio of Transmission*Gear Ratio of Final Drive*(Efficiency of Driveline/100)*Torque Output from Powerplant)/Effective Radius of Wheel.

What are the other ways to Calculate Wheel Tractive Effort?

Here are the different ways to Calculate Wheel Tractive Effort-

Wheel Tractive Effort=(Pinion Edge Tractive Effort*Diameter of Pinion 2)/Diameter of Wheel

Can the Tractive Effort on Driven Wheel be negative?

No, the Tractive Effort on Driven Wheel, measured in Force cannot be negative.

Which unit is used to measure Tractive Effort on Driven Wheel?

Tractive Effort on Driven Wheel is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Tractive Effort on Driven Wheel can be measured.

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Tractive Effort on Driven Wheel Formula

​GoTractive Effort at Wheel Formula

Tractive Effort on Driven Wheel Example

Tractive Effort on Driven Wheel Solution

Tractive Effort on Driven Wheel Formula Elements

Other Formulas to find Wheel Tractive Effort

Other formulas in Tractive Effort category

How to Evaluate Tractive Effort on Driven Wheel?

FAQs on Tractive Effort on Driven Wheel

Variable Name

GoTractive Effort at Wheel Formula