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Horizontal Distance of C.G. from Rear Axle on Rear Wheel Formula

GoHorizontal Distance of C.G. using Retardation on Rear Wheel Formula

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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. Check FAQs

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

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

Horizontal Distance of C.G. from Rear Axle on Rear Wheel Example

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Here is how the Horizontal Distance of C.G. from Rear Axle on Rear Wheel equation looks like with Values.

Here is how the Horizontal Distance of C.G. from Rear Axle on Rear Wheel equation looks like with Units.

Here is how the Horizontal Distance of C.G. from Rear Axle on Rear Wheel equation looks like.

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

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

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

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Horizontal Distance of C.G. from Rear Axle on Rear Wheel Solution

Follow our step by step solution on how to calculate Horizontal Distance of C.G. from Rear Axle on Rear Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

x = 5700N \cdot \frac{2.7m + 0.48 \cdot 0.0079m}{13000N \cdot \cos (0.1745rad)} - 0.48 \cdot 0.0079m

Next Step Prepare to Evaluate

∴

x = 5700 \cdot \frac{2.7 + 0.48 \cdot 0.0079}{13000 \cdot \cos (0.1745)} - 0.48 \cdot 0.0079

Next Step Evaluate

∴

x = 1.20000012460142m

LAST Step Rounding Answer

∴

x = 1.2m

Horizontal Distance of C.G. from Rear Axle on Rear Wheel Formula Elements

Variables

Functions

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

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

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

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

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

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

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 Horizontal Distance of C.G. from Rear Axle

Go Horizontal Distance of C.G. using Retardation on Rear Wheel

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

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)}

How to Evaluate Horizontal Distance of C.G. from Rear Axle on Rear Wheel?

Horizontal Distance of C.G. from Rear Axle on Rear Wheel evaluator uses Horizontal Distance of C.G. from Rear Axle = Normal Reaction at Rear Wheel*(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)/(Vehicle Weight*cos(Road Inclination Angle))-Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle to evaluate the Horizontal Distance of C.G. from Rear Axle, Horizontal Distance of C.G. from Rear Axle on Rear Wheel formula is defined as the distance from the center of gravity to the rear axle on the rear wheel, which is a critical parameter in vehicle dynamics and stability, influencing the vehicle's behavior and response to various driving conditions. Horizontal Distance of C.G. from Rear Axle is denoted by x symbol.

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

FAQs on Horizontal Distance of C.G. from Rear Axle on Rear Wheel

What is the formula to find Horizontal Distance of C.G. from Rear Axle on Rear Wheel?

The formula of Horizontal Distance of C.G. from Rear Axle on Rear Wheel is expressed as Horizontal Distance of C.G. from Rear Axle = Normal Reaction at Rear Wheel*(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)/(Vehicle Weight*cos(Road Inclination Angle))-Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle. Here is an example- 1.2 = 5700*(2.7+0.48*0.007919)/(13000*cos(0.1745329251994))-0.48*0.007919.

How to calculate Horizontal Distance of C.G. from Rear Axle on Rear Wheel?

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

What are the other ways to Calculate Horizontal Distance of C.G. from Rear Axle?

Here are the different ways to Calculate Horizontal Distance of C.G. from Rear Axle-

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

Can the Horizontal Distance of C.G. from Rear Axle on Rear Wheel be negative?

No, the Horizontal Distance of C.G. from Rear Axle on Rear Wheel, measured in Length cannot be negative.

Which unit is used to measure Horizontal Distance of C.G. from Rear Axle on Rear Wheel?

Horizontal Distance of C.G. from Rear Axle on Rear Wheel is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Horizontal Distance of C.G. from Rear Axle on Rear Wheel can be measured.

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Horizontal Distance of C.G. from Rear Axle on Rear Wheel Formula

​GoHorizontal Distance of C.G. using Retardation on Rear Wheel Formula

Horizontal Distance of C.G. from Rear Axle on Rear Wheel Example

Horizontal Distance of C.G. from Rear Axle on Rear Wheel Solution

Horizontal Distance of C.G. from Rear Axle on Rear Wheel Formula Elements

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

Other formulas in Effects on Rear Wheel (RW) category

How to Evaluate Horizontal Distance of C.G. from Rear Axle on Rear Wheel?

FAQs on Horizontal Distance of C.G. from Rear Axle on Rear Wheel

Variable Name

GoHorizontal Distance of C.G. using Retardation on Rear Wheel Formula