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

✖Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car.ⓘ Vehicle Wheelbase [b]			+10% -10%
✖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.ⓘ Friction Coefficient on Front Wheel [μ_FW]			+10% -10%
✖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.ⓘ Height of C.G. of Vehicle [h]			+10% -10%
✖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.ⓘ Normal Reaction at Front Wheel [R_F]			+10% -10%
✖Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance.ⓘ Vehicle Weight [W]			+10% -10%
✖Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability.ⓘ Road Inclination Angle [θ]			+10% -10%

✖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.ⓘ Horizontal Distance of C.G from Rear Axle on Front Wheel [x]

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

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Distance of C.G. from Rear Axle = (Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)-Normal Reaction at Front Wheel*(Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)/(Vehicle Weight*cos(Road Inclination Angle))
x = (b-μ_FW*h)-R_F*(b-μ_FW*h)/(W*cos(θ))
This formula uses 1 Functions, 7 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Horizontal Distance of C.G. from Rear Axle - (Measured in Meter) - 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.
Vehicle Wheelbase - (Measured in Meter) - Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car.
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.
Height of C.G. of Vehicle - (Measured in Meter) - 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.
Normal Reaction at Front Wheel - (Measured in Newton) - 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.
Vehicle Weight - (Measured in Newton) - Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance.
Road Inclination Angle - (Measured in Radian) - Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability.

STEP 1: Convert Input(s) to Base Unit

Vehicle Wheelbase: 2.7 Meter --> 2.7 Meter No Conversion Required
Friction Coefficient on Front Wheel: 0.456032 --> No Conversion Required
Height of C.G. of Vehicle: 0.007919 Meter --> 0.007919 Meter No Conversion Required
Normal Reaction at Front Wheel: 7103 Newton --> 7103 Newton No Conversion Required
Vehicle Weight: 13000 Newton --> 13000 Newton No Conversion Required
Road Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = (b-μ_FW*h)-R_F*(b-μ_FW*h)/(W*cos(θ)) --> (2.7-0.456032*0.007919)-7103*(2.7-0.456032*0.007919)/(13000*cos(0.1745329251994))

Evaluating ... ...

x = 1.2003958974426

STEP 3: Convert Result to Output's Unit

1.2003958974426 Meter --> No Conversion Required

FINAL ANSWER

1.2003958974426 ≈ 1.200396 Meter <-- Horizontal Distance of C.G. from Rear Axle

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Weight Transfer during Braking » Rear Wheel Braking for Racing Car » Mechanical » Effects on Front Wheel (FW) » Horizontal Distance of C.G from Rear Axle on Front Wheel

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

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< Effects on Front Wheel (FW) Calculators

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

LaTeX Go Horizontal Distance of C.G. from Rear Axle = (Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)-Normal Reaction at Front Wheel*(Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)/(Vehicle Weight*cos(Road Inclination Angle))

Weight of Vehicle on Front Wheel

LaTeX Go 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))

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

LaTeX Go Height of C.G. of Vehicle = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Friction Coefficient on Front Wheel

Normal Reaction Force at Front Wheel

LaTeX Go Normal Reaction at Front Wheel = Vehicle Weight*(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)

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

LaTeX Go

Define Rear Axle?

The rear axle is a key component in a vehicle's drivetrain that connects the rear wheels and supports the vehicle's weight. It transmits power from the engine, through the differential, to the rear wheels, enabling them to rotate and propel the vehicle forward. The rear axle also plays a role in maintaining the alignment of the wheels and ensuring proper handling and stability. It can be either a live axle, which transmits power, or a dead axle, which only supports weight.

How to Calculate Horizontal Distance of C.G from Rear Axle on Front Wheel?

Horizontal Distance of C.G from Rear Axle on Front Wheel calculator uses Horizontal Distance of C.G. from Rear Axle = (Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)-Normal Reaction at Front Wheel*(Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)/(Vehicle Weight*cos(Road Inclination Angle)) to calculate the Horizontal Distance of C.G. from Rear Axle, Horizontal Distance of C.G from Rear Axle on Front Wheel formula is defined as the distance from the center of gravity to the rear axle on the front wheel, which is a critical parameter in vehicle design and dynamics, influencing the stability and maneuverability of a vehicle. Horizontal Distance of C.G. from Rear Axle is denoted by x symbol.

How to calculate Horizontal Distance of C.G from Rear Axle on Front Wheel using this online calculator? To use this online calculator for Horizontal Distance of C.G from Rear Axle on Front Wheel, enter Vehicle Wheelbase (b), Friction Coefficient on Front Wheel (μ_FW), Height of C.G. of Vehicle (h), Normal Reaction at Front Wheel (R_F), Vehicle Weight (W) & Road Inclination Angle (θ) and hit the calculate button. Here is how the Horizontal Distance of C.G from Rear Axle on Front Wheel calculation can be explained with given input values -> 1.200311 = (2.7-0.456032*0.007919)-7103*(2.7-0.456032*0.007919)/(13000*cos(0.1745329251994)).

FAQ

What is Horizontal Distance of C.G from Rear Axle on Front Wheel?

Horizontal Distance of C.G from Rear Axle on Front Wheel formula is defined as the distance from the center of gravity to the rear axle on the front wheel, which is a critical parameter in vehicle design and dynamics, influencing the stability and maneuverability of a vehicle and is represented as x = (b-μ_FW*h)-R_F*(b-μ_FW*h)/(W*cos(θ)) or Horizontal Distance of C.G. from Rear Axle = (Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)-Normal Reaction at Front Wheel*(Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)/(Vehicle Weight*cos(Road Inclination Angle)). Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car, 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, 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, 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, Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance & Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability.

How to calculate Horizontal Distance of C.G from Rear Axle on Front Wheel?

Horizontal Distance of C.G from Rear Axle on Front Wheel formula is defined as the distance from the center of gravity to the rear axle on the front wheel, which is a critical parameter in vehicle design and dynamics, influencing the stability and maneuverability of a vehicle is calculated using Horizontal Distance of C.G. from Rear Axle = (Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)-Normal Reaction at Front Wheel*(Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)/(Vehicle Weight*cos(Road Inclination Angle)). To calculate Horizontal Distance of C.G from Rear Axle on Front Wheel, you need Vehicle Wheelbase (b), Friction Coefficient on Front Wheel (μ_FW), Height of C.G. of Vehicle (h), Normal Reaction at Front Wheel (R_F), Vehicle Weight (W) & Road Inclination Angle (θ). With our tool, you need to enter the respective value for Vehicle Wheelbase, Friction Coefficient on Front Wheel, Height of C.G. of Vehicle, Normal Reaction at Front Wheel, Vehicle Weight & Road Inclination Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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