FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

All Wheel Braking Retardation Formula

Fx Copy

LaTeX Copy

Retardation Produced by Braking is the negative acceleration of the vehicle which reduces its speed. Check FAQs

a = [g] \cdot (μ \cdot \cos (θ) - \sin (θ))

a - Retardation Produced by Braking?μ - Friction Coefficient Between Wheels and Ground?θ - Inclination Angle of Road?[g] - Gravitational acceleration on Earth?

All Wheel Braking Retardation Example

With values

With units

Only example

Here is how the All Wheel Braking Retardation equation looks like with Values.

Here is how the All Wheel Braking Retardation equation looks like with Units.

Here is how the All Wheel Braking Retardation equation looks like.

3.9323 = 9.8066 \cdot (0.49 \cdot \cos (5) - \sin (5))

3.9323m/s² = 9.8066m/s² \cdot (0.49 \cdot \cos (5°) - \sin (5°))

3.9323 = 9.8066 \cdot (0.49 \cdot \cos (5) - \sin (5))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Automobile » fx All Wheel Braking Retardation

All Wheel Braking Retardation Solution

Follow our step by step solution on how to calculate All Wheel Braking Retardation?

FIRST Step Consider the formula

a = [g] \cdot (μ \cdot \cos (θ) - \sin (θ))

Next Step Substitute values of Variables

∴

a = [g] \cdot (0.49 \cdot \cos (5°) - \sin (5°))

Next Step Substitute values of Constants

∴

a = 9.8066m/s² \cdot (0.49 \cdot \cos (5°) - \sin (5°))

Next Step Convert Units

∴

a = 9.8066m/s² \cdot (0.49 \cdot \cos (0.0873rad) - \sin (0.0873rad))

Next Step Prepare to Evaluate

∴

a = 9.8066 \cdot (0.49 \cdot \cos (0.0873) - \sin (0.0873))

Next Step Evaluate

∴

a = 3.93226717604414m/s²

LAST Step Rounding Answer

∴

a = 3.9323m/s²

All Wheel Braking Retardation Formula Elements

Variables

Constants

Functions

Retardation Produced by Braking

Retardation Produced by Braking is the negative acceleration of the vehicle which reduces its speed.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Retardation Produced by Braking

Friction Coefficient Between Wheels and Ground

Friction Coefficient between Wheels and Ground is the friction coefficient which is generated between wheels and ground when the brakes are applied.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Coefficient Between Wheels and Ground

Inclination Angle of Road

Inclination Angle of Road is the angle which the road surface is making with the horizontal.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Inclination Angle of Road

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Vehicle Braking Dynamics category

Go Braking Force on Brake Drum on Level Road

F = \frac{W}{g} \cdot f

Go Gradient Descend Brake Drum Force

F = \frac{W}{g} \cdot f + W \cdot \sin (α inc)

Go Braking Torque of Leading Shoe

T l = \frac{W l \cdot m \cdot μf \cdot k}{n t + (μf \cdot k)}

Go Braking Torque of Trailing Shoe

T t = \frac{W t \cdot n t \cdot μ 0 \cdot k}{n t - μ 0 \cdot k}

How to Evaluate All Wheel Braking Retardation?

All Wheel Braking Retardation evaluator uses Retardation Produced by Braking = [g]*(Friction Coefficient Between Wheels and Ground*cos(Inclination Angle of Road)-sin(Inclination Angle of Road)) to evaluate the Retardation Produced by Braking, All Wheel Braking Retardation formula is used to find the negative acceleration of the vehicle which reduces its speed. Retardation Produced by Braking is denoted by a symbol.

How to evaluate All Wheel Braking Retardation using this online evaluator? To use this online evaluator for All Wheel Braking Retardation, enter Friction Coefficient Between Wheels and Ground (μ) & Inclination Angle of Road (θ) and hit the calculate button.

FAQs on All Wheel Braking Retardation

What is the formula to find All Wheel Braking Retardation?

The formula of All Wheel Braking Retardation is expressed as Retardation Produced by Braking = [g]*(Friction Coefficient Between Wheels and Ground*cos(Inclination Angle of Road)-sin(Inclination Angle of Road)). Here is an example- 3.932267 = [g]*(0.49*cos(0.0872664625997001)-sin(0.0872664625997001)).

How to calculate All Wheel Braking Retardation?

With Friction Coefficient Between Wheels and Ground (μ) & Inclination Angle of Road (θ) we can find All Wheel Braking Retardation using the formula - Retardation Produced by Braking = [g]*(Friction Coefficient Between Wheels and Ground*cos(Inclination Angle of Road)-sin(Inclination Angle of Road)). This formula also uses Gravitational acceleration on Earth constant(s) and , Sine (sin), Cosine (cos) function(s).

Can the All Wheel Braking Retardation be negative?

Yes, the All Wheel Braking Retardation, measured in Acceleration can be negative.

Which unit is used to measure All Wheel Braking Retardation?

All Wheel Braking Retardation is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which All Wheel Braking Retardation can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit