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Friction Coefficient between Wheel and Road Surface on Rear Wheel Formula

GoFriction Coefficient using Retardation on Rear Wheel Formula

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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. Check FAQs

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

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

Friction Coefficient between Wheel and Road Surface on Rear Wheel Example

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Here is how the Friction Coefficient between Wheel and Road Surface on Rear Wheel equation looks like with Values.

Here is how the Friction Coefficient between Wheel and Road Surface on Rear Wheel equation looks like with Units.

Here is how the Friction Coefficient between Wheel and Road Surface on Rear Wheel equation looks like.

0.48 = \frac{5700 \cdot 2.7 - 13000 \cdot 1.2 \cdot \cos (10)}{0.0079 \cdot (13000 \cdot \cos (10) - 5700)}

0.48 = \frac{5700N \cdot 2.7m - 13000N \cdot 1.2m \cdot \cos (10°)}{0.0079m \cdot (13000N \cdot \cos (10°) - 5700N)}

0.48 = \frac{5700 \cdot 2.7 - 13000 \cdot 1.2 \cdot \cos (10)}{0.0079 \cdot (13000 \cdot \cos (10) - 5700)}

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Friction Coefficient between Wheel and Road Surface on Rear Wheel Solution

Follow our step by step solution on how to calculate Friction Coefficient between Wheel and Road Surface on Rear Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ RW = \frac{5700N \cdot 2.7m - 13000N \cdot 1.2m \cdot \cos (10°)}{0.0079m \cdot (13000N \cdot \cos (10°) - 5700N)}

Next Step Convert Units

∴

μ RW = \frac{5700N \cdot 2.7m - 13000N \cdot 1.2m \cdot \cos (0.1745rad)}{0.0079m \cdot (13000N \cdot \cos (0.1745rad) - 5700N)}

Next Step Prepare to Evaluate

∴

μ RW = \frac{5700 \cdot 2.7 - 13000 \cdot 1.2 \cdot \cos (0.1745)}{0.0079 \cdot (13000 \cdot \cos (0.1745) - 5700)}

Next Step Evaluate

∴

μ RW = 0.480028361955417

LAST Step Rounding Answer

∴

μ RW = 0.48

Friction Coefficient between Wheel and Road Surface on Rear Wheel Formula Elements

Variables

Functions

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.

Formulas to find Friction Coefficient on Rear Wheel

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.

Formulas to find Normal Reaction at Rear Wheel

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.

Formulas to find Vehicle Wheelbase

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.

Formulas to find Vehicle Weight

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.

Formulas to find Horizontal Distance of C.G. from Rear Axle

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.

Formulas to find Road Inclination Angle

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.

Formulas to find Height of C.G. of Vehicle

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 to find Friction Coefficient on Rear Wheel

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)}

Other formulas in Effects on Rear Wheel (RW) category

Go Normal Reaction Force at Rear Wheel

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

Go Weight of Vehicle on Rear Wheel

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

How to Evaluate Friction Coefficient between Wheel and Road Surface on Rear Wheel?

Friction Coefficient between Wheel and Road Surface on Rear Wheel evaluator uses Friction Coefficient on Rear Wheel = (Normal Reaction at Rear Wheel*Vehicle Wheelbase-Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Height of C.G. of Vehicle*(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Rear Wheel)) to evaluate the Friction Coefficient on Rear Wheel, Friction Coefficient between Wheel and Road Surface on Rear Wheel formula is defined as a dimensionless value that quantifies the frictional force between the rear wheel of a vehicle and the road surface, influencing the vehicle's stability, acceleration, and braking performance. Friction Coefficient on Rear Wheel is denoted by μ_RW symbol.

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

FAQs on Friction Coefficient between Wheel and Road Surface on Rear Wheel

What is the formula to find Friction Coefficient between Wheel and Road Surface on Rear Wheel?

The formula of Friction Coefficient between Wheel and Road Surface on Rear Wheel is expressed as Friction Coefficient on Rear Wheel = (Normal Reaction at Rear Wheel*Vehicle Wheelbase-Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Height of C.G. of Vehicle*(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Rear Wheel)). Here is an example- 0.480028 = (5700*2.7-13000*1.2*cos(0.1745329251994))/(0.007919*(13000*cos(0.1745329251994)-5700)).

How to calculate Friction Coefficient between Wheel and Road Surface on Rear Wheel?

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

What are the other ways to Calculate Friction Coefficient on Rear Wheel?

Here are the different ways to Calculate Friction Coefficient on Rear Wheel-

Friction Coefficient on Rear Wheel=((Braking Retardation/[g]+sin(Road Inclination Angle))*Vehicle Wheelbase)/((Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)-((Braking Retardation/[g]+sin(Road Inclination Angle))*Height of C.G. of Vehicle))

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Friction Coefficient between Wheel and Road Surface on Rear Wheel Formula

​GoFriction Coefficient using Retardation on Rear Wheel Formula

Friction Coefficient between Wheel and Road Surface on Rear Wheel Example

Friction Coefficient between Wheel and Road Surface on Rear Wheel Solution

Friction Coefficient between Wheel and Road Surface on Rear Wheel Formula Elements

Other Formulas to find Friction Coefficient on Rear Wheel

Other formulas in Effects on Rear Wheel (RW) category

How to Evaluate Friction Coefficient between Wheel and Road Surface on Rear Wheel?

FAQs on Friction Coefficient between Wheel and Road Surface on Rear Wheel

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GoFriction Coefficient using Retardation on Rear Wheel Formula