FormulaDen.com

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

Weight of Vehicle on Rear Wheel Formula

Fx Copy

LaTeX Copy

Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance. Check FAQs

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

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

Weight of Vehicle on Rear Wheel Example

With values

With units

Only example

Here is how the Weight of Vehicle on Rear Wheel equation looks like with Values.

Here is how the Weight of Vehicle on Rear Wheel equation looks like with Units.

Here is how the Weight of Vehicle on Rear Wheel equation looks like.

13000.0013 = \frac{5700}{(1.2 + 0.48 \cdot 0.0079) \cdot \frac{\cos (10)}{2.7 + 0.48 \cdot 0.0079}}

13000.0013N = \frac{5700N}{(1.2m + 0.48 \cdot 0.0079m) \cdot \frac{\cos (10°)}{2.7m + 0.48 \cdot 0.0079m}}

13000.0013 = \frac{5700}{(1.2 + 0.48 \cdot 0.0079) \cdot \frac{\cos (10)}{2.7 + 0.48 \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 Weight of Vehicle on Rear Wheel

Weight of Vehicle on Rear Wheel Solution

Follow our step by step solution on how to calculate Weight of Vehicle on Rear Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

W = \frac{5700N}{(1.2m + 0.48 \cdot 0.0079m) \cdot \frac{\cos (0.1745rad)}{2.7m + 0.48 \cdot 0.0079m}}

Next Step Prepare to Evaluate

∴

W = \frac{5700}{(1.2 + 0.48 \cdot 0.0079) \cdot \frac{\cos (0.1745)}{2.7 + 0.48 \cdot 0.0079}}

Next Step Evaluate

∴

W = 13000.0013455864N

LAST Step Rounding Answer

∴

W = 13000.0013N

Weight of Vehicle on Rear Wheel Formula Elements

Variables

Functions

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

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

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

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

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 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 Weight of Vehicle on Rear Wheel?

Weight of Vehicle on Rear Wheel evaluator uses Vehicle Weight = Normal Reaction at Rear Wheel/((Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)) to evaluate the Vehicle Weight, Weight of Vehicle on Rear Wheel formula is defined as a measure of the weight distribution of a vehicle, specifically the load carried by the rear wheel, which is influenced by factors such as the vehicle's center of gravity, road inclination, and frictional forces. Vehicle Weight is denoted by W symbol.

How to evaluate Weight of Vehicle on Rear Wheel using this online evaluator? To use this online evaluator for Weight of Vehicle on Rear Wheel, enter Normal Reaction at Rear Wheel (R_R), 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) & Vehicle Wheelbase (b) and hit the calculate button.

FAQs on Weight of Vehicle on Rear Wheel

What is the formula to find Weight of Vehicle on Rear Wheel?

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

How to calculate Weight of Vehicle on Rear Wheel?

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

Can the Weight of Vehicle on Rear Wheel be negative?

No, the Weight of Vehicle on Rear Wheel, measured in Force cannot be negative.

Which unit is used to measure Weight of Vehicle on Rear Wheel?

Weight of Vehicle on Rear Wheel is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Weight of Vehicle on Rear Wheel can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Weight of Vehicle on Rear Wheel Formula

Weight of Vehicle on Rear Wheel Example

Weight of Vehicle on Rear Wheel Solution

Weight of Vehicle on Rear Wheel Formula Elements

Other formulas in Effects on Rear Wheel (RW) category

How to Evaluate Weight of Vehicle on Rear Wheel?

FAQs on Weight of Vehicle on Rear Wheel

Variable Name