Horizontal Distance of C.G from Rear Axle with Front Wheel Brake Formula

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Horizontal Distance of C.G. from Rear Axle is the distance of vehicle's center of gravity (C.G.) form rear axle measured along wheelbase of vehicle. Check FAQs
x=RFbWcos(θ)-μh
x - Horizontal Distance of C.G. from Rear Axle?RF - Normal Reaction at the Front Wheel?b - Vehicle Wheelbase?W - Vehicle Weight?θ - Inclination Angle of Road?μ - Friction Coefficient Between Wheels and Ground?h - Height of Center of Gravity (C.G.) of Vehicle?

Horizontal Distance of C.G from Rear Axle with Front Wheel Brake Example

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

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

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

1.15Edit=4625.314Edit2.8Edit11000Editcos(5Edit)-0.49Edit0.065Edit
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Horizontal Distance of C.G from Rear Axle with Front Wheel Brake Solution

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

FIRST Step Consider the formula
x=RFbWcos(θ)-μh
Next Step Substitute values of Variables
x=4625.314N2.8m11000Ncos(5°)-0.490.065m
Next Step Convert Units
x=4625.314N2.8m11000Ncos(0.0873rad)-0.490.065m
Next Step Prepare to Evaluate
x=4625.3142.811000cos(0.0873)-0.490.065
Next Step Evaluate
x=1.14999995041705m
LAST Step Rounding Answer
x=1.15m

Horizontal Distance of C.G from Rear Axle with Front Wheel Brake Formula Elements

Variables
Functions
Horizontal Distance of C.G. from Rear Axle
Horizontal Distance of C.G. from Rear Axle is the distance of vehicle's center of gravity (C.G.) form rear axle measured along wheelbase of vehicle.
Symbol: x
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Normal Reaction at the Front Wheel
Normal Reaction at the Front Wheel is the reaction force offered by the ground surface onto the front wheels.
Symbol: RF
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Vehicle Wheelbase
Vehicle Wheelbase is the center distance between the front and the rear axle of the vehicle.
Symbol: b
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Vehicle Weight
Vehicle Weight is the heaviness of the vehicle, generally expressed in Newtons.
Symbol: W
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Inclination Angle of Road
Inclination Angle of Road is the angle which the road surface is making with the horizontal.
Symbol: θ
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Friction Coefficient Between Wheels and Ground
Friction Coefficient between Wheels and Ground is the friction coefficient which is generated between wheels and ground when the brakes are applied.
Symbol: μ
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Height of Center of Gravity (C.G.) of Vehicle
Height of Center of Gravity (C.G.) of Vehicle is the theoretical point where the sum of all of the masses of each of its individual components effectively act.
Symbol: h
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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 category

​Go Height of C.G. from Road Surface with Front Wheel Brake
h=RFbWcos(θ)-xμ
​Go Front Wheel Reaction with All Wheel Braking
RF=W(x+μh)cos(θ)b

How to Evaluate Horizontal Distance of C.G from Rear Axle with Front Wheel Brake?

Horizontal Distance of C.G from Rear Axle with Front Wheel Brake evaluator uses Horizontal Distance of C.G. from Rear Axle = (Normal Reaction at the Front Wheel*Vehicle Wheelbase)/(Vehicle Weight*cos(Inclination Angle of Road))-Friction Coefficient Between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle to evaluate the Horizontal Distance of C.G. from Rear Axle, Horizontal Distance of C.G from Rear Axle with Front Wheel Brake formula is used to find the distance of the vehicle's center of gravity(C.G.) from the rear axle measured along with the wheelbase of the vehicle. Horizontal Distance of C.G. from Rear Axle is denoted by x symbol.

How to evaluate Horizontal Distance of C.G from Rear Axle with Front Wheel Brake using this online evaluator? To use this online evaluator for Horizontal Distance of C.G from Rear Axle with Front Wheel Brake, enter Normal Reaction at the Front Wheel (RF), Vehicle Wheelbase (b), Vehicle Weight (W), Inclination Angle of Road (θ), Friction Coefficient Between Wheels and Ground (μ) & Height of Center of Gravity (C.G.) of Vehicle (h) and hit the calculate button.

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

What is the formula to find Horizontal Distance of C.G from Rear Axle with Front Wheel Brake?
The formula of Horizontal Distance of C.G from Rear Axle with Front Wheel Brake is expressed as Horizontal Distance of C.G. from Rear Axle = (Normal Reaction at the Front Wheel*Vehicle Wheelbase)/(Vehicle Weight*cos(Inclination Angle of Road))-Friction Coefficient Between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle. Here is an example- 1.15 = (4625.314*2.8)/(11000*cos(0.0872664625997001))-0.49*0.065.
How to calculate Horizontal Distance of C.G from Rear Axle with Front Wheel Brake?
With Normal Reaction at the Front Wheel (RF), Vehicle Wheelbase (b), Vehicle Weight (W), Inclination Angle of Road (θ), Friction Coefficient Between Wheels and Ground (μ) & Height of Center of Gravity (C.G.) of Vehicle (h) we can find Horizontal Distance of C.G from Rear Axle with Front Wheel Brake using the formula - Horizontal Distance of C.G. from Rear Axle = (Normal Reaction at the Front Wheel*Vehicle Wheelbase)/(Vehicle Weight*cos(Inclination Angle of Road))-Friction Coefficient Between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle. This formula also uses Cosine (cos) function(s).
Can the Horizontal Distance of C.G from Rear Axle with Front Wheel Brake be negative?
No, the Horizontal Distance of C.G from Rear Axle with Front Wheel Brake, measured in Length cannot be negative.
Which unit is used to measure Horizontal Distance of C.G from Rear Axle with Front Wheel Brake?
Horizontal Distance of C.G from Rear Axle with Front Wheel Brake 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 with Front Wheel Brake can be measured.
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