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Normal Reaction Force at Rear Wheel Formula

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Normal Reaction at Rear Wheel is the upward force exerted by the ground on the rear wheel of a racing car during braking, affecting its stability and control. Check FAQs

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

R_R - Normal Reaction at Rear Wheel?W - Vehicle Weight?x - Horizontal Distance of C.G. from Rear Axle?μ_RW - Friction Coefficient on Rear Wheel?h - Height of C.G. of Vehicle?θ - Road Inclination Angle?b - Vehicle Wheelbase?

Normal Reaction Force at Rear Wheel Example

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

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

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

5699.9994 = 13000 \cdot (1.2 + 0.48 \cdot 0.0079) \cdot \frac{\cos (10)}{2.7 + 0.48 \cdot 0.0079}

5699.9994N = 13000N \cdot (1.2m + 0.48 \cdot 0.0079m) \cdot \frac{\cos (10°)}{2.7m + 0.48 \cdot 0.0079m}

5699.9994 = 13000 \cdot (1.2 + 0.48 \cdot 0.0079) \cdot \frac{\cos (10)}{2.7 + 0.48 \cdot 0.0079}

Tip: Use pencil () icon above to edit Input Values and Units.

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Normal Reaction Force at Rear Wheel Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R R = 13000N \cdot (1.2m + 0.48 \cdot 0.0079m) \cdot \frac{\cos (10°)}{2.7m + 0.48 \cdot 0.0079m}

Next Step Convert Units

∴

R R = 13000N \cdot (1.2m + 0.48 \cdot 0.0079m) \cdot \frac{\cos (0.1745rad)}{2.7m + 0.48 \cdot 0.0079m}

Next Step Prepare to Evaluate

∴

R R = 13000 \cdot (1.2 + 0.48 \cdot 0.0079) \cdot \frac{\cos (0.1745)}{2.7 + 0.48 \cdot 0.0079}

Next Step Evaluate

∴

R R = 5699.99941001216N

LAST Step Rounding Answer

∴

R R = 5699.9994N

Normal Reaction Force at Rear Wheel Formula Elements

Variables

Functions

Normal Reaction at Rear Wheel

Normal Reaction at Rear Wheel is the upward force exerted by the ground on the rear wheel of a racing car during braking, affecting its stability and control.

Symbol: R_R

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Vehicle Weight

Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Horizontal Distance of C.G. from Rear Axle

Horizontal Distance of C.G. from Rear Axle is the distance from the center of gravity to the rear axle, affecting the racing car's stability during rear wheel braking.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Friction Coefficient on Rear Wheel

Friction Coefficient on Rear Wheel is a measure of the resistance to motion between the rear wheel and the road surface during racing car braking.

Symbol: μ_RW

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Height of C.G. of Vehicle

Height of C.G. of Vehicle is the vertical distance of the center of gravity from the ground level of a racing car during rear wheel braking.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Road Inclination Angle

Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Vehicle Wheelbase

Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

cos

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

Syntax: cos(Angle)

Credits

Creator Image

Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Formula and 200+ more formulas!

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Verified by

national institute of technology hamirpur (NITH ), Hamirpur, Himachal Pradesh

sanjay shiva has verified this Formula and 100+ more formulas!

Other formulas in Effects on Rear Wheel (RW) category

Go Friction Coefficient between Wheel and Road Surface on Rear Wheel

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

Go Friction Coefficient using Retardation on Rear Wheel

μ RW = \frac{(\frac{a}{[g]} + \sin (θ)) \cdot b}{(b - x) \cdot \cos (θ) - ((\frac{a}{[g]} + \sin (θ)) \cdot h)}

See More

How to Evaluate Normal Reaction Force at Rear Wheel?

Normal Reaction Force at Rear Wheel evaluator uses Normal Reaction at Rear Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle) to evaluate the Normal Reaction at Rear Wheel, Normal Reaction Force at Rear Wheel formula is defined as the vertical force exerted by the ground on the rear wheel of a vehicle, which is influenced by the weight of the vehicle, its center of gravity, and the frictional forces acting on it, providing a measure of the upward force on the rear wheel. Normal Reaction at Rear Wheel is denoted by R_R symbol.

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

FAQs on Normal Reaction Force at Rear Wheel

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

The formula of Normal Reaction Force at Rear Wheel is expressed as Normal Reaction at Rear Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle). Here is an example- 5699.999 = 13000*(1.2+0.48*0.007919)*cos(0.1745329251994)/(2.7+0.48*0.007919).

How to calculate Normal Reaction Force at Rear Wheel?

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

Can the Normal Reaction Force at Rear Wheel be negative?

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

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

Normal Reaction Force at 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 at Rear Wheel can be measured.

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