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Weight of Vehicle on Front Wheel Formula

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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 F}{(b - x) \cdot \frac{\cos (θ)}{b + μ FW \cdot h}}

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

Weight of Vehicle on Front Wheel Example

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

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

13000 = \frac{7103}{(2.7 - 1.2) \cdot \frac{\cos (10)}{2.7 + 0.456 \cdot 0.0079}}

13000N = \frac{7103N}{(2.7m - 1.2m) \cdot \frac{\cos (10°)}{2.7m + 0.456 \cdot 0.0079m}}

13000 = \frac{7103}{(2.7 - 1.2) \cdot \frac{\cos (10)}{2.7 + 0.456 \cdot 0.0079}}

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Weight of Vehicle on Front Wheel Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = \frac{7103N}{(2.7m - 1.2m) \cdot \frac{\cos (10°)}{2.7m + 0.456 \cdot 0.0079m}}

Next Step Convert Units

∴

W = \frac{7103N}{(2.7m - 1.2m) \cdot \frac{\cos (0.1745rad)}{2.7m + 0.456 \cdot 0.0079m}}

Next Step Prepare to Evaluate

∴

W = \frac{7103}{(2.7 - 1.2) \cdot \frac{\cos (0.1745)}{2.7 + 0.456 \cdot 0.0079}}

Next Step Evaluate

∴

W = 13000.0000025798N

LAST Step Rounding Answer

∴

W = 13000N

Weight of Vehicle on Front 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 Front Wheel

Normal Reaction at Front Wheel is the upward force exerted by the ground on the front wheel of a racing car during rear wheel braking.

Symbol: R_F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction at Front 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

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

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 Front Wheel

Friction Coefficient on Front Wheel is a measure of the frictional force exerted by the front wheel on the road during rear wheel braking in a racing car.

Symbol: μ_FW

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Friction Coefficient on Front 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

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 Front Wheel (FW) category

Go Horizontal Distance of C.G from Rear Axle on Front Wheel

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

Go Height of C.G. from Road Surface on Front Wheel

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

How to Evaluate Weight of Vehicle on Front Wheel?

Weight of Vehicle on Front Wheel evaluator uses Vehicle Weight = Normal Reaction at Front Wheel/((Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)) to evaluate the Vehicle Weight, Weight of Vehicle on Front Wheel formula is defined as a measure of the vertical load exerted by a vehicle on its front wheel, which is influenced by factors such as the vehicle's weight distribution, wheelbase, and ground clearance, as well as the frictional forces acting on the wheel. Vehicle Weight is denoted by W symbol.

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

FAQs on Weight of Vehicle on Front Wheel

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

The formula of Weight of Vehicle on Front Wheel is expressed as Vehicle Weight = Normal Reaction at Front Wheel/((Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)). Here is an example- 13000.91 = 7103/((2.7-1.2)*cos(0.1745329251994)/(2.7+0.456032*0.007919)).

How to calculate Weight of Vehicle on Front Wheel?

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

Can the Weight of Vehicle on Front Wheel be negative?

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

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

Weight of Vehicle on Front 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 Front Wheel can be measured.

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Weight of Vehicle on Front Wheel Formula

Weight of Vehicle on Front Wheel Example

Weight of Vehicle on Front Wheel Solution

Weight of Vehicle on Front Wheel Formula Elements

Other formulas in Effects on Front Wheel (FW) category

How to Evaluate Weight of Vehicle on Front Wheel?

FAQs on Weight of Vehicle on Front Wheel

Variable Name