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Wheel Force Function Formula

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A Wheel Force Function is the total force generated by each wheel on a drive train due to its rotation and friction between the traction line. Check FAQs

F w = \frac{i \cdot i o \cdot τ e}{2 \cdot r w}

F_w - Wheel Force Function?i - Gear Ratio of Transmission?i_o - Gear Ratio of Final Drive?τ_e - Engine Torque?r_w - Radius of Wheel?

Wheel Force Function Example

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Here is how the Wheel Force Function equation looks like with Values.

Here is how the Wheel Force Function equation looks like with Units.

Here is how the Wheel Force Function equation looks like.

5.3968 = \frac{2.55 \cdot 2 \cdot 4}{2 \cdot 1.89}

5.3968N = \frac{2.55 \cdot 2 \cdot 4N*m}{2 \cdot 1.89m}

5.3968 = \frac{2.55 \cdot 2 \cdot 4}{2 \cdot 1.89}

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Wheel Force Function Solution

Follow our step by step solution on how to calculate Wheel Force Function?

FIRST Step Consider the formula

F w = \frac{i \cdot i o \cdot τ e}{2 \cdot r w}

Next Step Substitute values of Variables

∴

F w = \frac{2.55 \cdot 2 \cdot 4N*m}{2 \cdot 1.89m}

Next Step Prepare to Evaluate

∴

F w = \frac{2.55 \cdot 2 \cdot 4}{2 \cdot 1.89}

Next Step Evaluate

∴

F w = 5.3968253968254N

LAST Step Rounding Answer

∴

F w = 5.3968N

Wheel Force Function Formula Elements

Variables

Wheel Force Function

A Wheel Force Function is the total force generated by each wheel on a drive train due to its rotation and friction between the traction line.

Symbol: F_w

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Wheel Force Function

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

Engine Torque

Engine Torque is defined as the torque generated by the motor of a vehicle.

Symbol: τ_e

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Engine Torque

Radius of Wheel

The Radius of Wheel is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

Symbol: r_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Wheel

Other formulas in Mechanics of Train Movement category

Go Torque Generated by Scherbius Drive

τ = 1.35 \cdot (\frac{E b \cdot E L \cdot I r \cdot E r}{E b \cdot ω f})

Go Torque of Squirrel Cage Induction Motor

τ = \frac{K \cdot E^{2} \cdot R r}{{(R s + R r)}^{2} + {(X s + X r)}^{2}}

Go Accelerating Weight of Train

W e = W \cdot 1.10

Go Aerodynamic Drag Force

F drag = C drag \cdot (\frac{ρ \cdot {V f}^{2}}{2}) \cdot A ref

How to Evaluate Wheel Force Function?

Wheel Force Function evaluator uses Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel) to evaluate the Wheel Force Function, The Wheel Force Function is defined as the total force generated by each wheel on a drive train due to its rotation and friction between the traction line. Wheel Force Function is denoted by F_w symbol.

How to evaluate Wheel Force Function using this online evaluator? To use this online evaluator for Wheel Force Function, enter Gear Ratio of Transmission (i), Gear Ratio of Final Drive (i_o), Engine Torque (τ_e) & Radius of Wheel (r_w) and hit the calculate button.

FAQs on Wheel Force Function

What is the formula to find Wheel Force Function?

The formula of Wheel Force Function is expressed as Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel). Here is an example- 5.396825 = (2.55*2*4)/(2*1.89).

How to calculate Wheel Force Function?

With Gear Ratio of Transmission (i), Gear Ratio of Final Drive (i_o), Engine Torque (τ_e) & Radius of Wheel (r_w) we can find Wheel Force Function using the formula - Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel).

Can the Wheel Force Function be negative?

No, the Wheel Force Function, measured in Force cannot be negative.

Which unit is used to measure Wheel Force Function?

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

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Wheel Force Function Formula

Wheel Force Function Example

Wheel Force Function Solution

Wheel Force Function Formula Elements

Other formulas in Mechanics of Train Movement category

How to Evaluate Wheel Force Function?

FAQs on Wheel Force Function

Variable Name