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Wheel Base on Rear Wheel Formula

GoWheel Base of Vehicle using Retardation on Rear Wheel Formula

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

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

b - Vehicle Wheelbase?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?R_R - Normal Reaction at Rear Wheel?

Wheel Base on Rear Wheel Example

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Here is how the Wheel Base on Rear Wheel equation looks like with Values.

Here is how the Wheel Base on Rear Wheel equation looks like with Units.

Here is how the Wheel Base on Rear Wheel equation looks like.

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

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

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

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Wheel Base on Rear Wheel Solution

Follow our step by step solution on how to calculate Wheel Base on Rear Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

b = (13000N \cdot (1.2m + 0.48 \cdot 0.0079m) \cdot \frac{\cos (0.1745rad)}{5700N}) - 0.48 \cdot 0.0079m

Next Step Prepare to Evaluate

∴

b = (13000 \cdot (1.2 + 0.48 \cdot 0.0079) \cdot \frac{\cos (0.1745)}{5700}) - 0.48 \cdot 0.0079

Next Step Evaluate

∴

b = 2.69999972013864m

LAST Step Rounding Answer

∴

b = 2.7m

Wheel Base on Rear Wheel Formula Elements

Variables

Functions

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

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

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

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

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 Vehicle Wheelbase

Go Wheel Base of Vehicle using Retardation on Rear Wheel

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

Wheel Base on Rear Wheel evaluator uses Vehicle Wheelbase = (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)/Normal Reaction at Rear Wheel)-Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle to evaluate the Vehicle Wheelbase, Wheel Base on Rear Wheel formula is defined as the distance from the rear wheel's center of rotation to the point where the vertical line passing through the center of gravity intersects the ground, which is a critical parameter in vehicle design and stability analysis. Vehicle Wheelbase is denoted by b symbol.

How to evaluate Wheel Base on Rear Wheel using this online evaluator? To use this online evaluator for Wheel Base on 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) & Normal Reaction at Rear Wheel (R_R) and hit the calculate button.

FAQs on Wheel Base on Rear Wheel

What is the formula to find Wheel Base on Rear Wheel?

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

How to calculate Wheel Base on 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) & Normal Reaction at Rear Wheel (R_R) we can find Wheel Base on Rear Wheel using the formula - Vehicle Wheelbase = (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)/Normal Reaction at Rear Wheel)-Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle. This formula also uses Cosine function(s).

What are the other ways to Calculate Vehicle Wheelbase?

Here are the different ways to Calculate Vehicle Wheelbase-

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

Can the Wheel Base on Rear Wheel be negative?

No, the Wheel Base on Rear Wheel, measured in Length cannot be negative.

Which unit is used to measure Wheel Base on Rear Wheel?

Wheel Base 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 Wheel Base on Rear Wheel can be measured.

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Wheel Base on Rear Wheel Formula

​GoWheel Base of Vehicle using Retardation on Rear Wheel Formula

Wheel Base on Rear Wheel Example

Wheel Base on Rear Wheel Solution

Wheel Base on Rear Wheel Formula Elements

Other Formulas to find Vehicle Wheelbase

Other formulas in Effects on Rear Wheel (RW) category

How to Evaluate Wheel Base on Rear Wheel?

FAQs on Wheel Base on Rear Wheel

Variable Name

GoWheel Base of Vehicle using Retardation on Rear Wheel Formula