Breaking Retardation on Rear Wheel Calculator

✖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%
✖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%
✖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%
✖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%

✖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.ⓘ Breaking Retardation on Rear Wheel [a]

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Breaking Retardation on Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Friction Coefficient on Rear Wheel: 0.48 --> No Conversion Required
Vehicle Wheelbase: 2.7 Meter --> 2.7 Meter 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)
Height of C.G. of Vehicle: 0.007919 Meter --> 0.007919 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = [g]*((μ_RW*(b-x)*cos(θ))/(b+μ_RW*h)-sin(θ)) --> [g]*((0.48*(2.7-1.2)*cos(0.1745329251994))/(2.7+0.48*0.007919)-sin(0.1745329251994))

Evaluating ... ...

a = 0.868849842475834

STEP 3: Convert Result to Output's Unit

0.868849842475834 Meter per Square Second --> No Conversion Required

FINAL ANSWER

0.868849842475834 ≈ 0.86885 Meter per Square Second <-- Braking Retardation

(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) » Breaking Retardation 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!

Verified by sanjay shiva

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

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)

Breaking Retardation on Rear Wheel Formula

LaTeX Go

What is Breaking Retardation?

Braking retardation refers to the rate at which a vehicle slows down when the brakes are applied. It is a measure of the vehicle's deceleration, indicating how quickly it reduces speed under braking. Effective braking retardation depends on factors like the braking system's efficiency, the vehicle's weight, tire grip, and road conditions. Higher braking retardation results in quicker stops, which is essential for safety, especially in emergency braking situations.

How to Calculate Breaking Retardation on Rear Wheel?

Breaking Retardation on Rear Wheel calculator uses Braking Retardation = [g]*((Friction Coefficient on Rear Wheel*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle))/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)-sin(Road Inclination Angle)) to calculate the Braking Retardation, Breaking Retardation on Rear Wheel formula is defined as a measure of the deceleration force exerted on the rear wheel of a vehicle during braking, taking into account the frictional coefficient, vehicle weight distribution, and road inclination, providing a critical safety parameter in vehicle dynamics and accident reconstruction. Braking Retardation is denoted by a symbol.

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

FAQ

What is Breaking Retardation on Rear Wheel?

Breaking Retardation on Rear Wheel formula is defined as a measure of the deceleration force exerted on the rear wheel of a vehicle during braking, taking into account the frictional coefficient, vehicle weight distribution, and road inclination, providing a critical safety parameter in vehicle dynamics and accident reconstruction and is represented as a = [g]*((μ_RW*(b-x)*cos(θ))/(b+μ_RW*h)-sin(θ)) or Braking Retardation = [g]*((Friction Coefficient on Rear Wheel*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle))/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)-sin(Road Inclination Angle)). 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, Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car, 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 & 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.

How to calculate Breaking Retardation on Rear Wheel?

Breaking Retardation on Rear Wheel formula is defined as a measure of the deceleration force exerted on the rear wheel of a vehicle during braking, taking into account the frictional coefficient, vehicle weight distribution, and road inclination, providing a critical safety parameter in vehicle dynamics and accident reconstruction is calculated using Braking Retardation = [g]*((Friction Coefficient on Rear Wheel*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle))/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)-sin(Road Inclination Angle)). To calculate Breaking Retardation on Rear Wheel, you need Friction Coefficient on Rear Wheel (μ_RW), Vehicle Wheelbase (b), Horizontal Distance of C.G. from Rear Axle (x), Road Inclination Angle (θ) & Height of C.G. of Vehicle (h). With our tool, you need to enter the respective value for Friction Coefficient on Rear Wheel, Vehicle Wheelbase, Horizontal Distance of C.G. from Rear Axle, Road Inclination Angle & Height of C.G. of Vehicle 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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