Wheel Base on Front Wheel Calculator

✖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%
✖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%
✖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%
✖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 [x]			+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%

✖Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car.ⓘ Wheel Base on Front Wheel [b]

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Formula

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Wheel Base on Front Wheel

Formula

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

Example

2.7 m = \frac{7103 N \cdot 0.456032 \cdot 0.007919 m + 13000 N \cdot 1.2 m \cdot \cos (10 °)}{13000 N \cdot \cos (10 °) - 7103 N}

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Download Rear Wheel Braking for Racing Car Formulas PDF PDF Image

Wheel Base on Front Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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.
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.
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

Normal Reaction at Front Wheel: 7103 Newton --> 7103 Newton 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
Vehicle Weight: 13000 Newton --> 13000 Newton No Conversion Required
Horizontal Distance of C.G. from Rear Axle: 1.2 Meter --> 1.2 Meter No Conversion Required
Road Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (R_F*μ_FW*h+W*x*cos(θ))/(W*cos(θ)-R_F) --> (7103*0.456032*0.007919+13000*1.2*cos(0.1745329251994))/(13000*cos(0.1745329251994)-7103)

Evaluating ... ...

b = 2.70000000066863

STEP 3: Convert Result to Output's Unit

2.70000000066863 Meter --> No Conversion Required

FINAL ANSWER

2.70000000066863 ≈ 2.7 Meter <-- Vehicle Wheelbase

(Calculation completed in 00.020 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) » Wheel Base on Front Wheel

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Created by Peri Krishna Karthik

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

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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< Effects on Front Wheel (FW) Calculators

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

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

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

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

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)

Wheel Base on Front Wheel Formula

What is Wheel Base?

The wheelbase of a vehicle is the distance between the centers of its front and rear wheels. This measurement plays a crucial role in determining the vehicle's stability, handling, and ride comfort. A longer wheelbase generally provides a smoother ride and better stability at high speeds, while a shorter wheelbase offers more agility and easier maneuverability, especially in tight spaces. The wheelbase also influences the vehicle's overall design and space distribution.

How to Calculate Wheel Base on Front Wheel?

Wheel Base on Front Wheel calculator uses Vehicle Wheelbase = (Normal Reaction at Front Wheel*Friction Coefficient on Front Wheel*Height of C.G. of Vehicle+Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Front Wheel) to calculate the Vehicle Wheelbase, Wheel Base on Front Wheel formula is defined as a measure of the distance from the center of the front wheel to the point where the line intersecting the ground and the vertical plane passing through the axis of the front wheel. It is a critical parameter in vehicle design, affecting stability, handling, and overall performance. Vehicle Wheelbase is denoted by b symbol.

How to calculate Wheel Base on Front Wheel using this online calculator? To use this online calculator for Wheel Base on Front Wheel, enter Normal Reaction at Front Wheel (R_F), Friction Coefficient on Front Wheel (μ_FW), Height of C.G. of Vehicle (h), Vehicle Weight (W), Horizontal Distance of C.G. from Rear Axle (x) & Road Inclination Angle (θ) and hit the calculate button. Here is how the Wheel Base on Front Wheel calculation can be explained with given input values -> 2.700237 = (7103*0.456032*0.007919+13000*1.2*cos(0.1745329251994))/(13000*cos(0.1745329251994)-7103).

FAQ

What is Wheel Base on Front Wheel?

Wheel Base on Front Wheel formula is defined as a measure of the distance from the center of the front wheel to the point where the line intersecting the ground and the vertical plane passing through the axis of the front wheel. It is a critical parameter in vehicle design, affecting stability, handling, and overall performance and is represented as b = (R_F*μ_FW*h+W*x*cos(θ))/(W*cos(θ)-R_F) or Vehicle Wheelbase = (Normal Reaction at Front Wheel*Friction Coefficient on Front Wheel*Height of C.G. of Vehicle+Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Vehicle Weight*cos(Road Inclination Angle)-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, 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, Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance, 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 & 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 Wheel Base on Front Wheel?

Wheel Base on Front Wheel formula is defined as a measure of the distance from the center of the front wheel to the point where the line intersecting the ground and the vertical plane passing through the axis of the front wheel. It is a critical parameter in vehicle design, affecting stability, handling, and overall performance is calculated using Vehicle Wheelbase = (Normal Reaction at Front Wheel*Friction Coefficient on Front Wheel*Height of C.G. of Vehicle+Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Front Wheel). To calculate Wheel Base on Front Wheel, you need Normal Reaction at Front Wheel (R_F), Friction Coefficient on Front Wheel (μ_FW), Height of C.G. of Vehicle (h), Vehicle Weight (W), Horizontal Distance of C.G. from Rear Axle (x) & Road Inclination Angle (θ). With our tool, you need to enter the respective value for Normal Reaction at Front Wheel, Friction Coefficient on Front Wheel, Height of C.G. of Vehicle, Vehicle Weight, Horizontal Distance of C.G. from Rear Axle & 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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