Retardation of Vehicle if Brakes are Applied to All Four Wheels Calculator

✖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.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖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.ⓘ Coefficient of Friction for Brake [μ_brake]			+10% -10%
✖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.ⓘ Angle of Inclination of plane to Horizontal [α_inclination]			+10% -10%

✖Retardation of vehicle is the rate of decrease of velocity of a vehicle with respect to time, usually measured in meters per second squared.ⓘ Retardation of Vehicle if Brakes are Applied to All Four Wheels [a]

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Retardation of Vehicle if Brakes are Applied to All Four Wheels Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
a = g*(μ_brake*cos(α_inclination)+sin(α_inclination))
This formula uses 2 Functions, 4 Variables

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

Retardation of Vehicle - (Measured in Meter per Square Second) - Retardation of vehicle is the rate of decrease of velocity of a vehicle with respect to time, usually measured in meters per second squared.
Acceleration due to Gravity - (Measured in Meter per Square Second) - 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.
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.
Angle of Inclination of plane to Horizontal - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Coefficient of Friction for Brake: 0.92 --> No Conversion Required
Angle of Inclination of plane to Horizontal: 0.01 Degree --> 0.0001745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = g*(μ_brake*cos(α_inclination)+sin(α_inclination)) --> 9.8*(0.92*cos(0.0001745329251994)+sin(0.0001745329251994))

Evaluating ... ...

a = 9.01771028533674

STEP 3: Convert Result to Output's Unit

9.01771028533674 Meter per Square Second --> No Conversion Required

FINAL ANSWER

9.01771028533674 ≈ 9.01771 Meter per Square Second <-- Retardation of Vehicle

(Calculation completed in 00.106 seconds)

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Home » Physics » Theory of Machine » Brakes and Dynamometers » Mechanical » Retardation of the Vehicle » Retardation of Vehicle if Brakes are Applied to All Four Wheels

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Retardation of the Vehicle Calculators

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

LaTeX Go 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 if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only

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

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

LaTeX Go Retardation of Vehicle = Acceleration due to Gravity*Coefficient of Friction for Brake

Retardation of Vehicle if Brakes are Applied to All Four Wheels Formula

LaTeX Go

What is the Brake?

A brake is a mechanical device used to slow down or stop the motion of a vehicle or machine by applying friction to a moving part. It converts kinetic energy into heat, which is dissipated, reducing the speed of the object. Brakes are essential for controlling speed and ensuring safety during operation.

How to Calculate Retardation of Vehicle if Brakes are Applied to All Four Wheels?

Retardation of Vehicle if Brakes are Applied to All Four Wheels calculator uses 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)) to calculate the Retardation of Vehicle, Retardation of Vehicle if Brakes are Applied to All Four Wheels formula is defined as the deceleration of a vehicle when all four wheels are braked, taking into account the brake's frictional force, the vehicle's inclination, and gravity, providing a measure of the vehicle's ability to come to a stop safely and efficiently. Retardation of Vehicle is denoted by a symbol.

How to calculate Retardation of Vehicle if Brakes are Applied to All Four Wheels using this online calculator? To use this online calculator for Retardation of Vehicle if Brakes are Applied to All Four Wheels, enter Acceleration due to Gravity (g), Coefficient of Friction for Brake (μ_brake) & Angle of Inclination of plane to Horizontal (α_inclination) and hit the calculate button. Here is how the Retardation of Vehicle if Brakes are Applied to All Four Wheels calculation can be explained with given input values -> 8.91971 = 9.8*(0.92*cos(0.0001745329251994)+sin(0.0001745329251994)).

FAQ

What is Retardation of Vehicle if Brakes are Applied to All Four Wheels?

Retardation of Vehicle if Brakes are Applied to All Four Wheels formula is defined as the deceleration of a vehicle when all four wheels are braked, taking into account the brake's frictional force, the vehicle's inclination, and gravity, providing a measure of the vehicle's ability to come to a stop safely and efficiently and is represented as a = g*(μ_brake*cos(α_inclination)+sin(α_inclination)) or 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)). 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, 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 & 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.

How to calculate Retardation of Vehicle if Brakes are Applied to All Four Wheels?

Retardation of Vehicle if Brakes are Applied to All Four Wheels formula is defined as the deceleration of a vehicle when all four wheels are braked, taking into account the brake's frictional force, the vehicle's inclination, and gravity, providing a measure of the vehicle's ability to come to a stop safely and efficiently is calculated using 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)). To calculate Retardation of Vehicle if Brakes are Applied to All Four Wheels, you need Acceleration due to Gravity (g), Coefficient of Friction for Brake (μ_brake) & Angle of Inclination of plane to Horizontal (α_inclination). With our tool, you need to enter the respective value for Acceleration due to Gravity, Coefficient of Friction for Brake & Angle of Inclination of plane to Horizontal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Retardation of Vehicle?

In this formula, Retardation of Vehicle uses Acceleration due to Gravity, Coefficient of Friction for Brake & Angle of Inclination of plane to Horizontal. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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