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Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels 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 Front Wheels only Formula

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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 (L - x)}{L + μ brake \cdot h}

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

Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels Example

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Here is how the Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels equation looks like with Values.

Here is how the Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels equation looks like with Units.

Here is how the Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels equation looks like.

9.0018 = \frac{0.92 \cdot 9.8 \cdot (360 - 0.2)}{360 + 0.92 \cdot 0.4}

9.0018m/s² = \frac{0.92 \cdot 9.8m/s² \cdot (360m - 0.2m)}{360m + 0.92 \cdot 0.4m}

9.0018 = \frac{0.92 \cdot 9.8 \cdot (360 - 0.2)}{360 + 0.92 \cdot 0.4}

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Theory of Machine » fx Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels

Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels Solution

Follow our step by step solution on how to calculate Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = \frac{0.92 \cdot 9.8m/s² \cdot (360m - 0.2m)}{360m + 0.92 \cdot 0.4m}

Next Step Prepare to Evaluate

∴

a = \frac{0.92 \cdot 9.8 \cdot (360 - 0.2)}{360 + 0.92 \cdot 0.4}

Next Step Evaluate

∴

a = 9.00178928206722m/s²

LAST Step Rounding Answer

∴

a = 9.0018m/s²

Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels Formula Elements

Variables

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

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

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

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

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 Front Wheels only

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

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)

Go Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to All Four Wheels

a = g \cdot μ brake

How to Evaluate Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels?

Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels evaluator uses Retardation of Vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*(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) to evaluate the Retardation of Vehicle, Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels formula is defined as the deceleration of a vehicle when brakes are applied to the rear wheels on a level track, taking into account the brake friction, gravity, and the vehicle's dimensions, to determine the rate of slowing down. Retardation of Vehicle is denoted by a symbol.

How to evaluate Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels using this online evaluator? To use this online evaluator for Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels, enter Coefficient of Friction for Brake (μ_brake), Acceleration due to Gravity (g), Distance between Center of Rear and Front Wheels (L), Perpendicular Distance of C.G (x) & Height of C.G. of Vehicle (h) and hit the calculate button.

FAQs on Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels

What is the formula to find Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels?

The formula of Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels is expressed as Retardation of Vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*(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). Here is an example- 8.979272 = (0.92*9.8*(360-0.2))/(360+0.92*0.4).

How to calculate Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels?

With Coefficient of Friction for Brake (μ_brake), Acceleration due to Gravity (g), Distance between Center of Rear and Front Wheels (L), Perpendicular Distance of C.G (x) & Height of C.G. of Vehicle (h) we can find Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels using the formula - Retardation of Vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*(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).

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)*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)
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)

Can the Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels be negative?

Yes, the Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels, measured in Acceleration can be negative.

Which unit is used to measure Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels?

Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels 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 when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels can be measured.

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Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels 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 Front Wheels only Formula

Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels Example

Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels Solution

Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels Formula Elements

Other Formulas to find Retardation of Vehicle

How to Evaluate Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels?

FAQs on Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels

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 Front Wheels only Formula