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 is the force that slows down or stops the motion of an object, typically applied through friction or other external means.
Mass of Vehicle - (Measured in Kilogram) - Mass of Vehicle is the total weight of a vehicle, including the driver, passengers, cargo, and fuel, which affects its acceleration and overall performance.
Retardation of Vehicle - (Measured in Meter per Square Second) - Retardation of Vehicle Force is the force that opposes the motion of a vehicle, slowing it down or bringing it to a complete stop.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is the downward force exerted on objects by the Earth's mass, pulling them towards its center.
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 with respect to the horizontal surface, affecting the force applied.
STEP 1: Convert Input(s) to Base Unit
Mass of Vehicle: 54.73 Kilogram --> 54.73 Kilogram No Conversion Required
Retardation of Vehicle: 8.955 Meter per Square Second --> 8.955 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: 65 Degree --> 1.1344640137961 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fbraking = m*a-m*g*sin(αinclination) --> 54.73*8.955-54.73*9.8*sin(1.1344640137961)
Evaluating ... ...
Fbraking = 4.00534319179314
STEP 3: Convert Result to Output's Unit
4.00534319179314 Newton --> No Conversion Required
FINAL ANSWER
4.00534319179314 4.005343 Newton <-- Braking Force
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

Force Calculators

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
Force on Lever of Simple Band Brake for Clockwise Rotation of Drum
​ Go Force Applied at the End of the Lever = (Tension in Tight Side of the Band*Perpendicular Distance from Fulcrum)/Distance b/w Fulcrum and End of Lever
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
Braking Force on Drum for Simple Band Brake
​ Go Braking Force = Tension in Tight Side of the Band-Tension in the Slack Side of Band

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 Break Drum?

A brake drum is a cylindrical component in a drum brake system that rotates with the wheel. When the brakes are applied, brake shoes press against the inside surface of the drum, creating friction that slows down or stops the wheel. The drum plays a crucial role in generating and dissipating the braking force.

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, Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only) formula is defined as the net force exerted at the front wheels of a vehicle when the brakes are applied, taking into account the vehicle's mass, acceleration, and the inclination of the road. 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 -> 6.468193 = 54.73*8.955-54.73*9.8*sin(1.1344640137961).

FAQ

What is 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) formula is defined as the net force exerted at the front wheels of a vehicle when the brakes are applied, taking into account the vehicle's mass, acceleration, and the inclination of the road 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 the total weight of a vehicle, including the driver, passengers, cargo, and fuel, which affects its acceleration and overall performance, Retardation of Vehicle Force is the force that opposes the motion of a vehicle, slowing it down or bringing it to a complete stop, Acceleration due to Gravity is the downward force exerted on objects by the Earth's mass, pulling them towards its center & Angle of Inclination of Plane to Horizontal is the angle at which a plane is tilted with respect to the horizontal surface, affecting the force applied.
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) formula is defined as the net force exerted at the front wheels of a vehicle when the brakes are applied, taking into account the vehicle's mass, acceleration, and the inclination of the road 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 3 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!