Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Braking force = Mass of vehicle*Retardation of vehicle-Mass of vehicle*Acceleration due to Gravity*sin(Angle of inclination of plane to horizontal)
Fbraking = m*a-m*g*sin(αinclination)
This formula uses 1 Functions, 5 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)
Variables Used
Braking force - (Measured in Newton) - Braking force means the longitudinal force, expressed in newtons, resulting from braking torque application.
Mass of vehicle - (Measured in Kilogram) - Mass of vehicle is a quantitative measure of inertia, a fundamental property of all matter.
Retardation of vehicle - (Measured in Meter per Square Second) - Retardation of vehicle is the negative acceleration of the vehicle which reduces its speed.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Angle of inclination of plane to horizontal - (Measured in Radian) - Angle of inclination of plane to horizontal is formed by the inclination of one plane to another; measured in degrees or radians.
STEP 1: Convert Input(s) to Base Unit
Mass of vehicle: 55 Kilogram --> 55 Kilogram No Conversion Required
Retardation of vehicle: 9 Meter per Square Second --> 9 Meter per Square Second 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: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fbraking = m*a-m*g*sin(αinclination) --> 55*9-55*9.8*sin(1.0471975511964)
Evaluating ... ...
Fbraking = 28.2123073602409
STEP 3: Convert Result to Output's Unit
28.2123073602409 Newton --> No Conversion Required
FINAL ANSWER
28.2123073602409 28.21231 Newton <-- Braking force
(Calculation completed in 00.020 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only)
Go Braking force = Mass of vehicle*Retardation of vehicle-Mass of vehicle*Acceleration due to Gravity*sin(Angle of inclination of plane to horizontal)
Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only
Go Braking force = Mass of vehicle*Retardation of vehicle-Mass of vehicle*Acceleration due to Gravity*sin(Angle of inclination of plane to horizontal)
Force on Lever of Simple Band Brake for Anticlockwise Rotation of Drum
Go Force applied at the end of the lever = (Tension in the slack side of band*Perpendicular distance from fulcrum)/Distance b/w fulcrum and end of lever
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Go Brake Clamp Load = Brake torque/(Effective radius*Disc coefficient of friction*No. of friction faces)
Tangential Braking Force given Normal Force on Brake Block
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Tangential Braking Force Acting at Contact Surface of Block and Wheel for Shoe Brake
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Maximum Braking Force Acting at Front Wheels when Brakes are Applied to Front Wheels only
Go Braking force = Coefficient of Friction for Brake*Normal reaction between ground and front wheel
Maximum Value of Total Braking Force Acting at Rear Wheels when Brakes Applied to Rear Wheels only
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Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only) Formula

Braking force = Mass of vehicle*Retardation of vehicle-Mass of vehicle*Acceleration due to Gravity*sin(Angle of inclination of plane to horizontal)
Fbraking = m*a-m*g*sin(αinclination)

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 Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only)?

Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only) calculator uses Braking force = Mass of vehicle*Retardation of vehicle-Mass of vehicle*Acceleration due to Gravity*sin(Angle of inclination of plane to horizontal) to calculate the Braking force, The Total braking force acting at front wheels (when brakes are applied to front wheels only) formula is defined as the measure of braking power of a vehicle. Braking force is denoted by Fbraking symbol.

How to calculate Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only) using this online calculator? To use this online calculator for Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only), enter Mass of vehicle (m), Retardation of vehicle (a), Acceleration due to Gravity (g) & Angle of inclination of plane to horizontal inclination) and hit the calculate button. Here is how the Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only) calculation can be explained with given input values -> 28.21231 = 55*9-55*9.8*sin(1.0471975511964).

FAQ

What is Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only)?
The Total braking force acting at front wheels (when brakes are applied to front wheels only) formula is defined as the measure of braking power of a vehicle and is represented as Fbraking = m*a-m*g*sin(αinclination) or Braking force = Mass of vehicle*Retardation of vehicle-Mass of vehicle*Acceleration due to Gravity*sin(Angle of inclination of plane to horizontal). Mass of vehicle is a quantitative measure of inertia, a fundamental property of all matter, Retardation of vehicle is the negative acceleration of the vehicle which reduces its speed, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Angle of inclination of plane to horizontal is formed by the inclination of one plane to another; measured in degrees or radians.
How to calculate Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only)?
The Total braking force acting at front wheels (when brakes are applied to front wheels only) formula is defined as the measure of braking power of a vehicle is calculated using Braking force = Mass of vehicle*Retardation of vehicle-Mass of vehicle*Acceleration due to Gravity*sin(Angle of inclination of plane to horizontal). To calculate Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only), you need Mass of vehicle (m), Retardation of vehicle (a), Acceleration due to Gravity (g) & Angle of inclination of plane to horizontal inclination). With our tool, you need to enter the respective value for Mass of vehicle, Retardation of vehicle, Acceleration due to Gravity & 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 Braking force?
In this formula, Braking force uses Mass of vehicle, Retardation of vehicle, Acceleration due to Gravity & Angle of inclination of plane to horizontal. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Braking force = Tension in Tight Side of the Band-Tension in the slack side of band
  • Braking force = Coefficient of Friction for Brake*Normal reaction between ground and front wheel
  • Braking force = Coefficient of Friction for Brake*Normal reaction between ground and rear wheel
  • Braking force = Mass of vehicle*Retardation of vehicle-Mass of vehicle*Acceleration due to Gravity*sin(Angle of inclination of plane to horizontal)
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