Normal Reaction Force at 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%
✖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%

✖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 Force at Rear Wheel [R_R]

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Formula

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Normal Reaction Force at Rear Wheel

Formula

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

Example

5699.999 N = 13000 N \cdot (1.2 m + 0.48 \cdot 0.007919 m) \cdot \frac{\cos (10 °)}{2.7 m + 0.48 \cdot 0.007919 m}

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Download Rear Wheel Braking for Racing Car Formulas PDF PDF Image

Normal Reaction Force at Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_R = W*(x+μ_RW*h)*cos(θ)/(b+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

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.
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.
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.

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)
Vehicle Wheelbase: 2.7 Meter --> 2.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_R = W*(x+μ_RW*h)*cos(θ)/(b+μ_RW*h) --> 13000*(1.2+0.48*0.007919)*cos(0.1745329251994)/(2.7+0.48*0.007919)

Evaluating ... ...

R_R = 5699.99941001216

STEP 3: Convert Result to Output's Unit

5699.99941001216 Newton --> No Conversion Required

FINAL ANSWER

5699.99941001216 ≈ 5699.999 Newton <-- Normal Reaction at Rear Wheel

(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) » Normal Reaction Force at Rear 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 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)

Normal Reaction Force at Rear Wheel Formula

What is Reaction Force at Vehicle?

The reaction force at a vehicle is the force exerted by a surface or contact point in response to the vehicle's weight or any applied forces. For instance, when a vehicle rests on the ground, the reaction force from the ground opposes the vehicle's weight, preventing it from sinking. Similarly, during braking, the reaction force from the tires on the road helps decelerate the vehicle. This force is crucial for maintaining stability and balance in various driving conditions.

How to Calculate Normal Reaction Force at Rear Wheel?

Normal Reaction Force at Rear Wheel calculator uses 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) to calculate the Normal Reaction at Rear Wheel, Normal Reaction Force at Rear Wheel formula is defined as the vertical force exerted by the ground on the rear wheel of a vehicle, which is influenced by the weight of the vehicle, its center of gravity, and the frictional forces acting on it, providing a measure of the upward force on the rear wheel. Normal Reaction at Rear Wheel is denoted by R_R symbol.

How to calculate Normal Reaction Force at Rear Wheel using this online calculator? To use this online calculator for Normal Reaction Force at 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) & Vehicle Wheelbase (b) and hit the calculate button. Here is how the Normal Reaction Force at Rear Wheel calculation can be explained with given input values -> 5699.999 = 13000*(1.2+0.48*0.007919)*cos(0.1745329251994)/(2.7+0.48*0.007919).

FAQ

What is Normal Reaction Force at Rear Wheel?

Normal Reaction Force at Rear Wheel formula is defined as the vertical force exerted by the ground on the rear wheel of a vehicle, which is influenced by the weight of the vehicle, its center of gravity, and the frictional forces acting on it, providing a measure of the upward force on the rear wheel and is represented as R_R = W*(x+μ_RW*h)*cos(θ)/(b+μ_RW*h) or 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). 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 & Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car.

How to calculate Normal Reaction Force at Rear Wheel?

Normal Reaction Force at Rear Wheel formula is defined as the vertical force exerted by the ground on the rear wheel of a vehicle, which is influenced by the weight of the vehicle, its center of gravity, and the frictional forces acting on it, providing a measure of the upward force on the rear wheel is calculated using 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). To calculate Normal Reaction Force at 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) & Vehicle Wheelbase (b). 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 & Vehicle Wheelbase 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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