FormulaDen.com

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

Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only Formula

GoRetardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to All Four Wheels Formula

GoRetardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Rear Wheels only Formula

Fx Copy

LaTeX Copy

Retardation of vehicle is the rate of decrease of velocity of a vehicle with respect to time, usually measured in meters per second squared. Check FAQs

a = \frac{μ brake \cdot g \cdot \cos (α inclination) \cdot x}{L - μ brake \cdot h} - g \cdot \sin (θ i)

a - Retardation of Vehicle?μ_brake - Coefficient of Friction for Brake?g - Acceleration due to Gravity?α_inclination - Angle of Inclination of plane to Horizontal?x - Perpendicular Distance of C.G?L - Distance between Center of Rear and Front Wheels?h - Height of C.G. of Vehicle?θ_i - Angle of Inclination?

Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only Example

With values

With units

Only example

Here is how the Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only equation looks like with Values.

Here is how the Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only equation looks like with Units.

Here is how the Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only equation looks like.

-9.7949 = \frac{0.92 \cdot 9.8 \cdot \cos (0.01) \cdot 0.2}{360 - 0.92 \cdot 0.4} - 9.8 \cdot \sin (89.771)

-9.7949m/s² = \frac{0.92 \cdot 9.8m/s² \cdot \cos (0.01°) \cdot 0.2m}{360m - 0.92 \cdot 0.4m} - 9.8m/s² \cdot \sin (89.771°)

-9.7949 = \frac{0.92 \cdot 9.8 \cdot \cos (0.01) \cdot 0.2}{360 - 0.92 \cdot 0.4} - 9.8 \cdot \sin (89.771)

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

Theory of Machine » fx Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only

Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only Solution

Follow our step by step solution on how to calculate Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only?

FIRST Step Consider the formula

a = \frac{μ brake \cdot g \cdot \cos (α inclination) \cdot x}{L - μ brake \cdot h} - g \cdot \sin (θ i)

Next Step Substitute values of Variables

∴

a = \frac{0.92 \cdot 9.8m/s² \cdot \cos (0.01°) \cdot 0.2m}{360m - 0.92 \cdot 0.4m} - 9.8m/s² \cdot \sin (89.771°)

Next Step Convert Units

∴

a = \frac{0.92 \cdot 9.8m/s² \cdot \cos (0.0002rad) \cdot 0.2m}{360m - 0.92 \cdot 0.4m} - 9.8m/s² \cdot \sin (1.5668rad)

Next Step Prepare to Evaluate

∴

a = \frac{0.92 \cdot 9.8 \cdot \cos (0.0002) \cdot 0.2}{360 - 0.92 \cdot 0.4} - 9.8 \cdot \sin (1.5668)

Next Step Evaluate

∴

a = -9.79490771108846m/s²

LAST Step Rounding Answer

∴

a = -9.7949m/s²

Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only Formula Elements

Variables

Functions

Retardation of Vehicle

Retardation of vehicle is the rate of decrease of velocity of a vehicle with respect to time, usually measured in meters per second squared.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Retardation of Vehicle

Coefficient of Friction for Brake

Coefficient of Friction for Brake Retardation is a measure of the frictional force that opposes the motion of a vehicle, slowing it down during braking.

Symbol: μ_brake

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction for Brake

Acceleration due to Gravity

Acceleration due to Gravity is the rate at which the velocity of an object decreases as it moves under the influence of gravity, slowing down the vehicle.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Angle of Inclination of plane to Horizontal

Angle of Inclination of plane to Horizontal is the angle at which a plane is tilted from the horizontal surface, affecting the retardation of a vehicle.

Symbol: α_inclination

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle of Inclination of plane to Horizontal

Perpendicular Distance of C.G

Perpendicular distance of C.G is the shortest distance from the centre of gravity of a vehicle to the point where it is pivoted during retardation.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perpendicular Distance of C.G

Distance between Center of Rear and Front Wheels

Distance between Center of Rear and Front Wheels is the length between the center of the rear wheel and the center of the front wheel of a vehicle.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance between Center of Rear and Front Wheels

Height of C.G. of Vehicle

Height of C.G. of Vehicle is the vertical distance of the center of gravity from the ground level of a vehicle, affecting its stability and balance.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of C.G. of Vehicle

Angle of Inclination

Angle of Inclination is the angle at which a vehicle's wheels are tilted backwards to slow down or retard its motion on an inclined plane.

Symbol: θ_i

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination

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 to find Retardation of Vehicle

Go Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to All Four Wheels

a = g \cdot (μ brake \cdot \cos (α inclination) - \sin (α inclination))

Go Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Rear Wheels only

a = \frac{μ brake \cdot g \cdot \cos (α inclination) \cdot (L - x)}{L + μ brake \cdot h} - g \cdot \sin (α inclination)

How to Evaluate Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only?

Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only evaluator uses Retardation of Vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*cos(Angle of Inclination of plane to Horizontal)*Perpendicular Distance of C.G)/(Distance between Center of Rear and Front Wheels-Coefficient of Friction for Brake*Height of C.G. of Vehicle)-Acceleration due to Gravity*sin(Angle of Inclination) to evaluate the Retardation of Vehicle, Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only formula is defined as the deceleration of a vehicle moving down a plane when brakes are applied only to the front wheels, taking into account the brake friction, inclination of the plane, and the vehicle's dimensions. Retardation of Vehicle is denoted by a symbol.

How to evaluate Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only using this online evaluator? To use this online evaluator for Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only, enter Coefficient of Friction for Brake (μ_brake), Acceleration due to Gravity (g), Angle of Inclination of plane to Horizontal (α_inclination), Perpendicular Distance of C.G (x), Distance between Center of Rear and Front Wheels (L), Height of C.G. of Vehicle (h) & Angle of Inclination (θ_i) and hit the calculate button.

FAQs on Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only

What is the formula to find Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only?

The formula of Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only is expressed as Retardation of Vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*cos(Angle of Inclination of plane to Horizontal)*Perpendicular Distance of C.G)/(Distance between Center of Rear and Front Wheels-Coefficient of Friction for Brake*Height of C.G. of Vehicle)-Acceleration due to Gravity*sin(Angle of Inclination). Here is an example- -9.772345 = (0.92*9.8*cos(0.0001745329251994)*0.2)/(360-0.92*0.4)-9.8*sin(1.56679952280753).

How to calculate Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only?

With Coefficient of Friction for Brake (μ_brake), Acceleration due to Gravity (g), Angle of Inclination of plane to Horizontal (α_inclination), Perpendicular Distance of C.G (x), Distance between Center of Rear and Front Wheels (L), Height of C.G. of Vehicle (h) & Angle of Inclination (θ_i) we can find Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only using the formula - Retardation of Vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*cos(Angle of Inclination of plane to Horizontal)*Perpendicular Distance of C.G)/(Distance between Center of Rear and Front Wheels-Coefficient of Friction for Brake*Height of C.G. of Vehicle)-Acceleration due to Gravity*sin(Angle of Inclination). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Retardation of Vehicle?

Here are the different ways to Calculate Retardation of Vehicle-

Retardation of Vehicle=Acceleration due to Gravity*(Coefficient of Friction for Brake*cos(Angle of Inclination of plane to Horizontal)-sin(Angle of Inclination of plane to Horizontal))
Retardation of Vehicle=(Coefficient of Friction for Brake*Acceleration due to Gravity*cos(Angle of Inclination of plane to Horizontal)*(Distance between Center of Rear and Front Wheels-Perpendicular Distance of C.G))/(Distance between Center of Rear and Front Wheels+Coefficient of Friction for Brake*Height of C.G. of Vehicle)-Acceleration due to Gravity*sin(Angle of Inclination of plane to Horizontal)
Retardation of Vehicle=Acceleration due to Gravity*Coefficient of Friction for Brake

Can the Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only be negative?

Yes, the Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only, measured in Acceleration can be negative.

Which unit is used to measure Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only?

Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only 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 Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only Formula

​GoRetardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to All Four Wheels Formula

​GoRetardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Rear Wheels only Formula

Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only Example

Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only Solution

Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only Formula Elements

Other Formulas to find Retardation of Vehicle

How to Evaluate Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only?

FAQs on Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only

Variable Name

GoRetardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to All Four Wheels Formula

GoRetardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Rear Wheels only Formula