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Wheel Base of Vehicle using Retardation on Rear Wheel Formula

GoWheel Base 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 = \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))}

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

Wheel Base of Vehicle using Retardation on Rear Wheel Example

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Here is how the Wheel Base of Vehicle using Retardation on Rear Wheel equation looks like with Values.

Here is how the Wheel Base of Vehicle using Retardation on Rear Wheel equation looks like with Units.

Here is how the Wheel Base of Vehicle using Retardation on Rear Wheel equation looks like.

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

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

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

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Wheel Base of Vehicle using Retardation on Rear Wheel Solution

Follow our step by step solution on how to calculate Wheel Base of Vehicle using Retardation on Rear Wheel?

FIRST Step Consider the formula

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))}

Next Step Substitute values of Variables

∴

b = \frac{(\frac{0.8688m/s²}{[g]} + \sin (10°)) \cdot 0.48 \cdot 0.0079m + 0.48 \cdot 1.2m \cdot \cos (10°)}{0.48 \cdot \cos (10°) - (\frac{0.8688m/s²}{[g]} + \sin (10°))}

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

b = \frac{(\frac{0.8688m/s²}{9.8066m/s²} + \sin (0.1745rad)) \cdot 0.48 \cdot 0.0079m + 0.48 \cdot 1.2m \cdot \cos (0.1745rad)}{0.48 \cdot \cos (0.1745rad) - (\frac{0.8688m/s²}{9.8066m/s²} + \sin (0.1745rad))}

Next Step Prepare to Evaluate

∴

b = \frac{(\frac{0.8688}{9.8066} + \sin (0.1745)) \cdot 0.48 \cdot 0.0079 + 0.48 \cdot 1.2 \cdot \cos (0.1745)}{0.48 \cdot \cos (0.1745) - (\frac{0.8688}{9.8066} + \sin (0.1745))}

Next Step Evaluate

∴

b = 2.70000020636146m

LAST Step Rounding Answer

∴

b = 2.7m

Wheel Base of Vehicle using Retardation on Rear Wheel Formula Elements

Variables

Constants

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

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

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

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

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 Vehicle Wheelbase

Go Wheel Base on Rear Wheel

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

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)}

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 Wheel Base of Vehicle using Retardation on Rear Wheel?

Wheel Base of Vehicle using Retardation on Rear Wheel evaluator uses 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))) to evaluate the Vehicle Wheelbase, Wheel Base of Vehicle using Retardation on Rear Wheel formula is defined as a measure of the distance between the front and rear wheels of a vehicle, taking into account the retardation on the rear wheel, which is crucial in determining the vehicle's stability and maneuverability. Vehicle Wheelbase is denoted by b symbol.

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

FAQs on Wheel Base of Vehicle using Retardation on Rear Wheel

What is the formula to find Wheel Base of Vehicle using Retardation on Rear Wheel?

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

How to calculate Wheel Base of Vehicle using Retardation on Rear Wheel?

With Braking Retardation (a), Road Inclination Angle (θ), Friction Coefficient on Rear Wheel (μ_RW), Height of C.G. of Vehicle (h) & Horizontal Distance of C.G. from Rear Axle (x) we can find Wheel Base of Vehicle using Retardation on Rear Wheel using the formula - 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))). 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 Vehicle Wheelbase?

Here are the different ways to Calculate Vehicle Wheelbase-

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

Can the Wheel Base of Vehicle using Retardation on Rear Wheel be negative?

No, the Wheel Base of Vehicle using Retardation on Rear Wheel, measured in Length cannot be negative.

Which unit is used to measure Wheel Base of Vehicle using Retardation on Rear Wheel?

Wheel Base of Vehicle using Retardation 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 of Vehicle using Retardation on Rear Wheel can be measured.

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Wheel Base of Vehicle using Retardation on Rear Wheel Formula

​GoWheel Base on Rear Wheel Formula

Wheel Base of Vehicle using Retardation on Rear Wheel Example

Wheel Base of Vehicle using Retardation on Rear Wheel Solution

Wheel Base of Vehicle using Retardation 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 of Vehicle using Retardation on Rear Wheel?

FAQs on Wheel Base of Vehicle using Retardation on Rear Wheel

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GoWheel Base on Rear Wheel Formula