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

✖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%
✖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%
✖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%
✖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.ⓘ Perpendicular Distance of C.G [x]			+10% -10%
✖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.ⓘ Distance between Center of Rear and Front Wheels [L]			+10% -10%
✖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.ⓘ Height of C.G. of Vehicle [h]			+10% -10%
✖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.ⓘ Angle of Inclination [θ_i]			+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 Vehicle Moves down Plane if Brakes are Applied to Front Wheels only [a]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
a = (μ_brake*g*cos(α_inclination)*x)/(L-μ_brake*h)-g*sin(θ_i)
This formula uses 2 Functions, 8 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.
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.
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.
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.
Perpendicular Distance of C.G - (Measured in Meter) - 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.
Distance between Center of Rear and Front Wheels - (Measured in Meter) - 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.
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 vehicle, affecting its stability and balance.
Angle of Inclination - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction for Brake: 0.92 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Angle of Inclination of plane to Horizontal: 0.01 Degree --> 0.0001745329251994 Radian (Check conversion here)
Perpendicular Distance of C.G: 0.2 Meter --> 0.2 Meter No Conversion Required
Distance between Center of Rear and Front Wheels: 360 Meter --> 360 Meter No Conversion Required
Height of C.G. of Vehicle: 0.4 Meter --> 0.4 Meter No Conversion Required
Angle of Inclination: 89.771 Degree --> 1.56679952280753 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (μ_brake*g*cos(α_inclination)*x)/(L-μ_brake*h)-g*sin(θ_i) --> (0.92*9.8*cos(0.0001745329251994)*0.2)/(360-0.92*0.4)-9.8*sin(1.56679952280753)

Evaluating ... ...

a = -9.79490771108846

STEP 3: Convert Result to Output's Unit

-9.79490771108846 Meter per Square Second --> No Conversion Required

FINAL ANSWER

-9.79490771108846 ≈ -9.794908 Meter per Square Second <-- Retardation of Vehicle

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Brakes and Dynamometers » Mechanical » Retardation of the Vehicle » Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only

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National Institute Of Technology (NIT), Hamirpur

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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

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

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

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

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

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

What is Friction in Vehicle?

Friction in a vehicle is the resistance between surfaces that contact each other, such as between the tires and the road. It allows the vehicle to grip the road for acceleration, braking, and turning. Friction also occurs in the braking system, where it helps slow down or stop the vehicle by converting kinetic energy into heat.

How to Calculate 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 calculator 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 calculate 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 calculate Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only using this online calculator? To use this online calculator 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. Here is how the Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only calculation can be explained with given input values -> -9.772345 = (0.92*9.8*cos(0.0001745329251994)*0.2)/(360-0.92*0.4)-9.8*sin(1.56679952280753).

FAQ

What is 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 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 and is represented as a = (μ_brake*g*cos(α_inclination)*x)/(L-μ_brake*h)-g*sin(θ_i) or 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). 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, 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, 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, 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, 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, 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 & 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.

How to calculate 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 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 is calculated using 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 calculate Retardation of Vehicle if Vehicle Moves down Plane if Brakes are Applied to Front Wheels only, you need 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). With our tool, you need to enter the respective value for Coefficient of Friction for Brake, Acceleration due to Gravity, Angle of Inclination of plane to Horizontal, Perpendicular Distance of C.G, Distance between Center of Rear and Front Wheels, Height of C.G. of Vehicle & Angle of Inclination 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 Coefficient of Friction for Brake, Acceleration due to Gravity, Angle of Inclination of plane to Horizontal, Perpendicular Distance of C.G, Distance between Center of Rear and Front Wheels, Height of C.G. of Vehicle & Angle of Inclination. 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)*(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

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