FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Friction Coefficient using Retardation on Rear Wheel Formula

GoFriction Coefficient between Wheel and Road Surface on Rear Wheel Formula

Fx Copy

LaTeX Copy

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

μ_RW - Friction Coefficient on Rear Wheel?a - Braking Retardation?θ - Road Inclination Angle?b - Vehicle Wheelbase?x - Horizontal Distance of C.G. from Rear Axle?h - Height of C.G. of Vehicle?[g] - Gravitational acceleration on Earth?[g] - Gravitational acceleration on Earth?

Friction Coefficient using Retardation on Rear Wheel Example

With values

With units

Only example

Here is how the Friction Coefficient using Retardation on Rear Wheel equation looks like with Values.

Here is how the Friction Coefficient using Retardation on Rear Wheel equation looks like with Units.

Here is how the Friction Coefficient using Retardation on Rear Wheel equation looks like.

0.48 = \frac{(\frac{0.8688}{9.8066} + \sin (10)) \cdot 2.7}{(2.7 - 1.2) \cdot \cos (10) - ((\frac{0.8688}{9.8066} + \sin (10)) \cdot 0.0079)}

0.48 = \frac{(\frac{0.8688m/s²}{9.8066m/s²} + \sin (10°)) \cdot 2.7m}{(2.7m - 1.2m) \cdot \cos (10°) - ((\frac{0.8688m/s²}{9.8066m/s²} + \sin (10°)) \cdot 0.0079m)}

0.48 = \frac{(\frac{0.8688}{9.8066} + \sin (10)) \cdot 2.7}{(2.7 - 1.2) \cdot \cos (10) - ((\frac{0.8688}{9.8066} + \sin (10)) \cdot 0.0079)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Automobile » fx Friction Coefficient using Retardation on Rear Wheel

Friction Coefficient using Retardation on Rear Wheel Solution

Follow our step by step solution on how to calculate Friction Coefficient using Retardation on Rear Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ RW = \frac{(\frac{0.8688m/s²}{[g]} + \sin (10°)) \cdot 2.7m}{(2.7m - 1.2m) \cdot \cos (10°) - ((\frac{0.8688m/s²}{[g]} + \sin (10°)) \cdot 0.0079m)}

Next Step Substitute values of Constants

∴

μ RW = \frac{(\frac{0.8688m/s²}{9.8066m/s²} + \sin (10°)) \cdot 2.7m}{(2.7m - 1.2m) \cdot \cos (10°) - ((\frac{0.8688m/s²}{9.8066m/s²} + \sin (10°)) \cdot 0.0079m)}

Next Step Convert Units

∴

μ RW = \frac{(\frac{0.8688m/s²}{9.8066m/s²} + \sin (0.1745rad)) \cdot 2.7m}{(2.7m - 1.2m) \cdot \cos (0.1745rad) - ((\frac{0.8688m/s²}{9.8066m/s²} + \sin (0.1745rad)) \cdot 0.0079m)}

Next Step Prepare to Evaluate

∴

μ RW = \frac{(\frac{0.8688}{9.8066} + \sin (0.1745)) \cdot 2.7}{(2.7 - 1.2) \cdot \cos (0.1745) - ((\frac{0.8688}{9.8066} + \sin (0.1745)) \cdot 0.0079)}

Next Step Evaluate

∴

μ RW = 0.48000002944215

LAST Step Rounding Answer

∴

μ RW = 0.48

Friction Coefficient using Retardation on Rear Wheel Formula Elements

Variables

Constants

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

Braking Retardation

Braking Retardation is the rate of decrease in speed of a racing car when the rear wheel brake is applied to slow down or stop the vehicle.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Braking Retardation

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

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

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

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

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 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)}

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}}

Go Slope of Road on Rear Wheel

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

Go Wheel Base on Rear Wheel

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

How to Evaluate Friction Coefficient using Retardation on Rear Wheel?

Friction Coefficient using Retardation on Rear Wheel evaluator uses 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)) to evaluate the Friction Coefficient on Rear Wheel, Friction Coefficient using Retardation on Rear Wheel formula is defined as a measure of the frictional force that opposes motion between the rear wheel of a vehicle and the road surface, taking into account the retardation, angle of inclination, and other parameters that affect the frictional force. Friction Coefficient on Rear Wheel is denoted by μ_RW symbol.

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

FAQs on Friction Coefficient using Retardation on Rear Wheel

What is the formula to find Friction Coefficient using Retardation on Rear Wheel?

The formula of Friction Coefficient using Retardation on Rear Wheel is expressed as 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)). Here is an example- 0.48 = ((0.86885/[g]+sin(0.1745329251994))*2.7)/((2.7-1.2)*cos(0.1745329251994)-((0.86885/[g]+sin(0.1745329251994))*0.007919)).

How to calculate Friction Coefficient using Retardation on Rear Wheel?

With Braking Retardation (a), Road Inclination Angle (θ), Vehicle Wheelbase (b), Horizontal Distance of C.G. from Rear Axle (x) & Height of C.G. of Vehicle (h) we can find Friction Coefficient using Retardation on Rear Wheel using the formula - 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)). This formula also uses Gravitational acceleration on Earth, Gravitational acceleration on Earth constant(s) and , Sine (sin), 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=(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))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Friction Coefficient using Retardation on Rear Wheel Formula

​GoFriction Coefficient between Wheel and Road Surface on Rear Wheel Formula

Friction Coefficient using Retardation on Rear Wheel Example

Friction Coefficient using Retardation on Rear Wheel Solution

Friction Coefficient using Retardation 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 using Retardation on Rear Wheel?

FAQs on Friction Coefficient using Retardation on Rear Wheel

Variable Name

GoFriction Coefficient between Wheel and Road Surface on Rear Wheel Formula