Retardation of Vehicle when Vehicle Moves on Level Track 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*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle)
a = (μbrake*g*x)/(L-μbrake*h)
This formula uses 6 Variables
Variables Used
Retardation of vehicle - (Measured in Meter per Square Second) - Retardation of vehicle is the negative acceleration of the vehicle which reduces its speed.
Coefficient of Friction for Brake - Coefficient of Friction for Brake is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Perpendicular distance of C.G - (Measured in Meter) - The perpendicular distance of C.G from the rear axle is a numerical measurement of how far apart objects or points are.
Distance between center of rear and front wheels - (Measured in Meter) - Distance between center of rear and front wheels is a numerical measurement of how far apart objects or points are.
Height of C.G. of vehicle - (Measured in Meter) - The height of C.G. of vehicle above the road surface is a numerical measurement of how far apart objects or points are.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction for Brake: 0.35 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Perpendicular distance of C.G: 8 Meter --> 8 Meter No Conversion Required
Distance between center of rear and front wheels: 12 Meter --> 12 Meter No Conversion Required
Height of C.G. of vehicle: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (μbrake*g*x)/(L-μbrake*h) --> (0.35*9.8*8)/(12-0.35*10)
Evaluating ... ...
a = 3.22823529411765
STEP 3: Convert Result to Output's Unit
3.22823529411765 Meter per Square Second --> No Conversion Required
FINAL ANSWER
3.22823529411765 3.228235 Meter per Square Second <-- Retardation of vehicle
(Calculation completed in 00.020 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Birsa Institute of Technology (BIT), Sindri
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9 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 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 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 when Vehicle Moves on Level Track if Brakes are Applied to Rear Wheels
Go 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)
Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Front Wheels only
Go Retardation of vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle)
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 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 when Vehicle Moves on Level Track if Brakes are Applied to Front Wheels only Formula

Retardation of vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle)
a = (μbrake*g*x)/(L-μbrake*h)

What is braking system in a vehicle?

A brake system is designed to slow and halt the motion of the vehicle. To do this, various components within the brake system must convert the vehicle's moving energy into heat. This is done by using friction. Friction is the resistance to movement exerted by two objects on each other.

How to Calculate Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Front Wheels only?

Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Front Wheels only calculator uses Retardation of vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*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 calculate the Retardation of vehicle, The Retardation of vehicle when vehicle moves on level track if brakes are applied to front wheels only formula is defined as the negative acceleration. The velocity of a body may increase or decrease. Retardation of vehicle is denoted by a symbol.

How to calculate Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Front Wheels only using this online calculator? To use this online calculator for Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Front Wheels only, enter Coefficient of Friction for Brake brake), Acceleration due to Gravity (g), Perpendicular distance of C.G (x), Distance between center of rear and front wheels (L) & Height of C.G. of vehicle (h) and hit the calculate button. Here is how the Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Front Wheels only calculation can be explained with given input values -> 3.228235 = (0.35*9.8*8)/(12-0.35*10).

FAQ

What is Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Front Wheels only?
The Retardation of vehicle when vehicle moves on level track if brakes are applied to front wheels only formula is defined as the negative acceleration. The velocity of a body may increase or decrease and is represented as a = (μbrake*g*x)/(L-μbrake*h) or Retardation of vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle). Coefficient of Friction for Brake is the ratio defining the force that resists the motion of one body in relation to another body in contact with it, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, The perpendicular distance of C.G from the rear axle is a numerical measurement of how far apart objects or points are, Distance between center of rear and front wheels is a numerical measurement of how far apart objects or points are & The height of C.G. of vehicle above the road surface is a numerical measurement of how far apart objects or points are.
How to calculate Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Front Wheels only?
The Retardation of vehicle when vehicle moves on level track if brakes are applied to front wheels only formula is defined as the negative acceleration. The velocity of a body may increase or decrease is calculated using Retardation of vehicle = (Coefficient of Friction for Brake*Acceleration due to Gravity*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 calculate Retardation of Vehicle when Vehicle Moves on Level Track if Brakes are Applied to Front Wheels only, you need Coefficient of Friction for Brake brake), Acceleration due to Gravity (g), Perpendicular distance of C.G (x), Distance between center of rear and front wheels (L) & Height of C.G. of vehicle (h). With our tool, you need to enter the respective value for Coefficient of Friction for Brake, Acceleration due to Gravity, Perpendicular distance of C.G, Distance between center of rear and front wheels & Height of C.G. of vehicle 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, Perpendicular distance of C.G, Distance between center of rear and front wheels & Height of C.G. of vehicle. We can use 8 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)
  • Retardation of vehicle = Acceleration due to Gravity*Coefficient of Friction for Brake
  • 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)
  • 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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