Wheel Base on Rear Wheel Calculator

✖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%
✖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.ⓘ Friction Coefficient on Rear Wheel [μ_RW]			+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%
✖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%
✖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.ⓘ Normal Reaction at Rear Wheel [R_R]			+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 Rear Wheel [b]

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Formula

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Wheel Base on Rear Wheel

Formula

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

Example

2.7 m = (13000 N \cdot (1.2 m + 0.48 \cdot 0.007919 m) \cdot \frac{\cos (10 °)}{5700 N}) - 0.48 \cdot 0.007919 m

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Download Rear Wheel Braking for Racing Car Formulas PDF PDF Image

Wheel Base on Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

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
Friction Coefficient on Rear Wheel: 0.48 --> No Conversion Required
Height of C.G. of Vehicle: 0.007919 Meter --> 0.007919 Meter No Conversion Required
Road Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
Normal Reaction at Rear Wheel: 5700 Newton --> 5700 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (W*(x+μ_RW*h)*cos(θ)/R_R)-μ_RW*h --> (13000*(1.2+0.48*0.007919)*cos(0.1745329251994)/5700)-0.48*0.007919

Evaluating ... ...

b = 2.69999972013864

STEP 3: Convert Result to Output's Unit

2.69999972013864 Meter --> No Conversion Required

FINAL ANSWER

2.69999972013864 ≈ 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 Rear Wheel (RW) » Wheel Base on Rear 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!

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

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< Effects on Rear Wheel (RW) Calculators

Friction Coefficient using Retardation on Rear Wheel

Go Friction Coefficient on Rear Wheel = ((Braking Retardation/[g]+sin(Road Inclination Angle))*Vehicle Wheelbase)/((Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)-((Braking Retardation/[g]+sin(Road Inclination Angle))*Height of C.G. of Vehicle))

Friction Coefficient between Wheel and Road Surface on Rear Wheel

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

Weight of Vehicle on Rear Wheel

Go 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))

Normal Reaction Force at Rear Wheel

Go Normal Reaction at Rear Wheel = Vehicle Weight*(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)

Wheel Base on Rear Wheel Formula

How weight transfer occurs during braking?

The inertial force acts at the centre of gravity of the vehicle, while the retarding force due to the application of brakes acts at the road surface. These two forms an overturning couple. This overturning couple increases the perpendicular force between the front wheels and ground by an amount, while the perpendicular force between rear wheels and ground is decreased by an equal amount. Some of the vehicle weight is thus transferred from the rear to the front axle.

Braking distribution among front and rear brakes

It is observed that in vehicles either the distribution of weight over the two axles is equal, or the front axle carries more weight, the braking effect has to be more at the front wheels for efficient braking. It is seen that in general for achieving maximum efficiency, about 75% of the total braking effect should be on front wheels. However, in such case the trouble would arise while travelling over wet road. where hight braking effect at the front would cause skidding of front wheels, because of decrease of weight transfer. In practice, about 60% of the braking effort is applied on the front wheels.

How to Calculate Wheel Base on Rear Wheel?

Wheel Base on Rear Wheel calculator uses Vehicle Wheelbase = (Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/Normal Reaction at Rear Wheel)-Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle to calculate the Vehicle Wheelbase, Wheel Base on Rear Wheel formula is defined as the distance from the rear wheel's center of rotation to the point where the vertical line passing through the center of gravity intersects the ground, which is a critical parameter in vehicle design and stability analysis. Vehicle Wheelbase is denoted by b symbol.

How to calculate Wheel Base on Rear Wheel using this online calculator? To use this online calculator for Wheel Base on Rear Wheel, enter Vehicle Weight (W), 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) & Normal Reaction at Rear Wheel (R_R) and hit the calculate button. Here is how the Wheel Base on Rear Wheel calculation can be explained with given input values -> 2.7 = (13000*(1.2+0.48*0.007919)*cos(0.1745329251994)/5700)-0.48*0.007919.

FAQ

What is Wheel Base on Rear Wheel?

Wheel Base on Rear Wheel formula is defined as the distance from the rear wheel's center of rotation to the point where the vertical line passing through the center of gravity intersects the ground, which is a critical parameter in vehicle design and stability analysis and is represented as b = (W*(x+μ_RW*h)*cos(θ)/R_R)-μ_RW*h or Vehicle Wheelbase = (Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/Normal Reaction at Rear Wheel)-Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle. 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, 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, 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, Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability & 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.

How to calculate Wheel Base on Rear Wheel?

Wheel Base on Rear Wheel formula is defined as the distance from the rear wheel's center of rotation to the point where the vertical line passing through the center of gravity intersects the ground, which is a critical parameter in vehicle design and stability analysis is calculated using Vehicle Wheelbase = (Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/Normal Reaction at Rear Wheel)-Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle. To calculate Wheel Base on Rear Wheel, you need Vehicle Weight (W), 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) & Normal Reaction at Rear Wheel (R_R). With our tool, you need to enter the respective value for Vehicle Weight, Horizontal Distance of C.G. from Rear Axle, Friction Coefficient on Rear Wheel, Height of C.G. of Vehicle, Road Inclination Angle & Normal Reaction at Rear Wheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Vehicle Wheelbase?

In this formula, Vehicle Wheelbase uses Vehicle Weight, Horizontal Distance of C.G. from Rear Axle, Friction Coefficient on Rear Wheel, Height of C.G. of Vehicle, Road Inclination Angle & Normal Reaction at Rear Wheel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Vehicle Wheelbase = ((Braking Retardation/[g]+sin(Road Inclination Angle))*Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle+Friction Coefficient on Rear Wheel*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Friction Coefficient on Rear Wheel*cos(Road Inclination Angle)-(Braking Retardation/[g]+sin(Road Inclination Angle)))

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