Wheel Base of Vehicle using Retardation on Rear Wheel Calculator

✖Braking Retardation is the rate of decrease in speed of a racing car when the rear wheel brake is applied to slow down or stop the vehicle.ⓘ Braking Retardation [a]			+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%
✖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%
✖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%

✖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 of Vehicle using Retardation on Rear Wheel [b]

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Wheel Base of Vehicle using Retardation on Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
b = ((a/[g]+sin(θ))*μ_RW*h+μ_RW*x*cos(θ))/(μ_RW*cos(θ)-(a/[g]+sin(θ)))
This formula uses 1 Constants, 2 Functions, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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.
Braking Retardation - (Measured in Meter per Square Second) - Braking Retardation is the rate of decrease in speed of a racing car when the rear wheel brake is applied to slow down or stop the vehicle.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Braking Retardation: 0.86885 Meter per Square Second --> 0.86885 Meter per Square Second No Conversion Required
Road Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
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
Horizontal Distance of C.G. from Rear Axle: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = ((a/[g]+sin(θ))*μ_RW*h+μ_RW*x*cos(θ))/(μ_RW*cos(θ)-(a/[g]+sin(θ))) --> ((0.86885/[g]+sin(0.1745329251994))*0.48*0.007919+0.48*1.2*cos(0.1745329251994))/(0.48*cos(0.1745329251994)-(0.86885/[g]+sin(0.1745329251994)))

Evaluating ... ...

b = 2.70000020636146

STEP 3: Convert Result to Output's Unit

2.70000020636146 Meter --> No Conversion Required

FINAL ANSWER

2.70000020636146 ≈ 2.7 Meter <-- Vehicle Wheelbase

(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 Rear Wheel (RW) » Wheel Base of Vehicle using Retardation on Rear Wheel

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

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< Effects on Rear Wheel (RW) Calculators

Friction Coefficient using Retardation on Rear Wheel

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 of Vehicle using Retardation on Rear Wheel Formula

LaTeX Go

What is Wheel Base on Front Wheel?

The wheelbase is not specifically related to the front wheels alone; it refers to the distance between the centers of the front and rear wheels of a vehicle. This measurement affects the vehicle's handling, stability, and ride comfort. A longer wheelbase generally improves stability and comfort, while a shorter wheelbase enhances maneuverability and agility. The wheelbase is a key factor in the overall design and performance of a vehicle.

How to Calculate Wheel Base of Vehicle using Retardation on Rear Wheel?

Wheel Base of Vehicle using Retardation on Rear Wheel calculator uses 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))) to calculate the Vehicle Wheelbase, Wheel Base of Vehicle using Retardation on Rear Wheel formula is defined as a measure of the distance between the front and rear wheels of a vehicle, taking into account the retardation on the rear wheel, which is crucial in determining the vehicle's stability and maneuverability. Vehicle Wheelbase is denoted by b symbol.

How to calculate Wheel Base of Vehicle using Retardation on Rear Wheel using this online calculator? To use this online calculator for Wheel Base of Vehicle using Retardation on Rear Wheel, enter Braking Retardation (a), Road Inclination Angle (θ), Friction Coefficient on Rear Wheel (μ_RW), Height of C.G. of Vehicle (h) & Horizontal Distance of C.G. from Rear Axle (x) and hit the calculate button. Here is how the Wheel Base of Vehicle using Retardation on Rear Wheel calculation can be explained with given input values -> 2.7 = ((0.86885/[g]+sin(0.1745329251994))*0.48*0.007919+0.48*1.2*cos(0.1745329251994))/(0.48*cos(0.1745329251994)-(0.86885/[g]+sin(0.1745329251994))).

FAQ

What is Wheel Base of Vehicle using Retardation on Rear Wheel?

Wheel Base of Vehicle using Retardation on Rear Wheel formula is defined as a measure of the distance between the front and rear wheels of a vehicle, taking into account the retardation on the rear wheel, which is crucial in determining the vehicle's stability and maneuverability and is represented as b = ((a/[g]+sin(θ))*μ_RW*h+μ_RW*x*cos(θ))/(μ_RW*cos(θ)-(a/[g]+sin(θ))) or 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))). Braking Retardation is the rate of decrease in speed of a racing car when the rear wheel brake is applied to slow down or stop the vehicle, Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability, 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 & 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.

How to calculate Wheel Base of Vehicle using Retardation on Rear Wheel?

Wheel Base of Vehicle using Retardation on Rear Wheel formula is defined as a measure of the distance between the front and rear wheels of a vehicle, taking into account the retardation on the rear wheel, which is crucial in determining the vehicle's stability and maneuverability is calculated using 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))). To calculate Wheel Base of Vehicle using Retardation on Rear Wheel, you need Braking Retardation (a), Road Inclination Angle (θ), Friction Coefficient on Rear Wheel (μ_RW), Height of C.G. of Vehicle (h) & Horizontal Distance of C.G. from Rear Axle (x). With our tool, you need to enter the respective value for Braking Retardation, Road Inclination Angle, Friction Coefficient on Rear Wheel, Height of C.G. of Vehicle & Horizontal Distance of C.G. from Rear Axle 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 Braking Retardation, Road Inclination Angle, Friction Coefficient on Rear Wheel, Height of C.G. of Vehicle & Horizontal Distance of C.G. from Rear Axle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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