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Normal Reaction Force on Rear Wheel Formula

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Normal Reaction at Rear Wheel BFW is the reaction force offered by the ground surface onto the rear wheel. Check FAQs

R r = \frac{W \cdot (b - x - μ \cdot h) \cdot \cos (θ)}{b - μ \cdot h}

R_r - Normal Reaction at Rear Wheel BFW?W - Vehicle Weight BFW?b - Vehicle Wheelbase BFW?x - Horizontal Distance of C.G. From Rear Axle BFW?μ - Friction Coefficient Between Wheels And Ground BFW?h - Height of C.G of Vehicle BFW?θ - Road Inclination Angle BFW?

Normal Reaction Force on Rear Wheel Example

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Here is how the Normal Reaction Force on Rear Wheel equation looks like with Values.

Here is how the Normal Reaction Force on Rear Wheel equation looks like with Units.

Here is how the Normal Reaction Force on Rear Wheel equation looks like.

6710.3338 = \frac{15000 \cdot (2.4 - 1.3 - 0.58 \cdot 0.0075) \cdot \cos (12)}{2.4 - 0.58 \cdot 0.0075}

6710.3338N = \frac{15000N \cdot (2.4m - 1.3m - 0.58 \cdot 0.0075m) \cdot \cos (12°)}{2.4m - 0.58 \cdot 0.0075m}

6710.3338 = \frac{15000 \cdot (2.4 - 1.3 - 0.58 \cdot 0.0075) \cdot \cos (12)}{2.4 - 0.58 \cdot 0.0075}

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Normal Reaction Force on Rear Wheel Solution

Follow our step by step solution on how to calculate Normal Reaction Force on Rear Wheel?

FIRST Step Consider the formula

R r = \frac{W \cdot (b - x - μ \cdot h) \cdot \cos (θ)}{b - μ \cdot h}

Next Step Substitute values of Variables

∴

R r = \frac{15000N \cdot (2.4m - 1.3m - 0.58 \cdot 0.0075m) \cdot \cos (12°)}{2.4m - 0.58 \cdot 0.0075m}

Next Step Convert Units

∴

R r = \frac{15000N \cdot (2.4m - 1.3m - 0.58 \cdot 0.0075m) \cdot \cos (0.2094rad)}{2.4m - 0.58 \cdot 0.0075m}

Next Step Prepare to Evaluate

∴

R r = \frac{15000 \cdot (2.4 - 1.3 - 0.58 \cdot 0.0075) \cdot \cos (0.2094)}{2.4 - 0.58 \cdot 0.0075}

Next Step Evaluate

∴

R r = 6710.33384724816N

LAST Step Rounding Answer

∴

R r = 6710.3338N

Normal Reaction Force on Rear Wheel Formula Elements

Variables

Functions

Normal Reaction at Rear Wheel BFW

Normal Reaction at Rear Wheel BFW is the reaction force offered by the ground surface onto the rear wheel.

Symbol: R_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction at Rear Wheel BFW

Vehicle Weight BFW

Vehicle Weight BFW is the heaviness of the vehicle, generally expressed in Newtons.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vehicle Weight BFW

Vehicle Wheelbase BFW

Vehicle Wheelbase BFW is the center distance between the front and the rear axle of the vehicle.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vehicle Wheelbase BFW

Horizontal Distance of C.G. From Rear Axle BFW

Horizontal Distance of C.G. From Rear Axle BFW is the distance of vehicle's center of gravity (C.G.) form rear axle measured along wheelbase of vehicle.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance of C.G. From Rear Axle BFW

Friction Coefficient Between Wheels And Ground BFW

Friction Coefficient Between Wheels And Ground BFW is the friction coefficient which is generated between wheels and ground when the brakes are applied.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Coefficient Between Wheels And Ground BFW

Height of C.G of Vehicle BFW

Height of C.G of Vehicle BFW is the theoretical point where the sum of all of the masses of each of its individual components effectively act.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of C.G of Vehicle BFW

Road Inclination Angle BFW

Road Inclination Angle BFW of Road is the angle which the road surface is making with the horizontal.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Road Inclination Angle BFW

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Effects on Rear Wheel category

Go Friction Coefficient between Wheels and Road Surface at Rear Wheel

μ = \frac{b - \frac{x}{1 - \frac{R r}{W \cdot \cos (θ)}}}{h}

Go Vehicle Weight at Rear Wheel

W = \frac{R r}{(b - x - μ \cdot h) \cdot \frac{\cos (θ)}{b - μ \cdot h}}

How to Evaluate Normal Reaction Force on Rear Wheel?

Normal Reaction Force on Rear Wheel evaluator uses Normal Reaction at Rear Wheel BFW = (Vehicle Weight BFW*(Vehicle Wheelbase BFW-Horizontal Distance of C.G. From Rear Axle BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW)*cos(Road Inclination Angle BFW))/(Vehicle Wheelbase BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW) to evaluate the Normal Reaction at Rear Wheel BFW, The Normal reaction force on rear wheel formula is used to find the reaction force offered by the road surface onto the rear wheel. Normal Reaction at Rear Wheel BFW is denoted by R_r symbol.

How to evaluate Normal Reaction Force on Rear Wheel using this online evaluator? To use this online evaluator for Normal Reaction Force on Rear Wheel, enter Vehicle Weight BFW (W), Vehicle Wheelbase BFW (b), Horizontal Distance of C.G. From Rear Axle BFW (x), Friction Coefficient Between Wheels And Ground BFW (μ), Height of C.G of Vehicle BFW (h) & Road Inclination Angle BFW (θ) and hit the calculate button.

FAQs on Normal Reaction Force on Rear Wheel

What is the formula to find Normal Reaction Force on Rear Wheel?

The formula of Normal Reaction Force on Rear Wheel is expressed as Normal Reaction at Rear Wheel BFW = (Vehicle Weight BFW*(Vehicle Wheelbase BFW-Horizontal Distance of C.G. From Rear Axle BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW)*cos(Road Inclination Angle BFW))/(Vehicle Wheelbase BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW). Here is an example- 6710.334 = (15000*(2.4-1.3-0.58*0.0075)*cos(0.20943951023928))/(2.4-0.58*0.0075).

How to calculate Normal Reaction Force on Rear Wheel?

With Vehicle Weight BFW (W), Vehicle Wheelbase BFW (b), Horizontal Distance of C.G. From Rear Axle BFW (x), Friction Coefficient Between Wheels And Ground BFW (μ), Height of C.G of Vehicle BFW (h) & Road Inclination Angle BFW (θ) we can find Normal Reaction Force on Rear Wheel using the formula - Normal Reaction at Rear Wheel BFW = (Vehicle Weight BFW*(Vehicle Wheelbase BFW-Horizontal Distance of C.G. From Rear Axle BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW)*cos(Road Inclination Angle BFW))/(Vehicle Wheelbase BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW). This formula also uses Cosine function(s).

Can the Normal Reaction Force on Rear Wheel be negative?

No, the Normal Reaction Force on Rear Wheel, measured in Force cannot be negative.

Which unit is used to measure Normal Reaction Force on Rear Wheel?

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

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Normal Reaction Force on Rear Wheel Formula

Normal Reaction Force on Rear Wheel Example

Normal Reaction Force on Rear Wheel Solution

Normal Reaction Force on Rear Wheel Formula Elements

Other formulas in Effects on Rear Wheel category

How to Evaluate Normal Reaction Force on Rear Wheel?

FAQs on Normal Reaction Force on Rear Wheel

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