Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only Calculator

✖Mass of Vehicle is the total weight of a vehicle, including the driver, passengers, cargo, and fuel, which affects its acceleration and overall performance.ⓘ Mass of Vehicle [m]			+10% -10%
✖Retardation of Vehicle Force is the force that opposes the motion of a vehicle, slowing it down or bringing it to a complete stop.ⓘ Retardation of Vehicle [a]			+10% -10%
✖Acceleration due to Gravity is the downward force exerted on objects by the Earth's mass, pulling them towards its center.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖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.ⓘ Angle of Inclination of Plane to Horizontal [α_inclination]			+10% -10%

✖Braking Force is the force that slows down or stops the motion of an object, typically applied through friction or other external means.ⓘ Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only [F_braking]

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Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear 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)
F_braking = m*a-m*g*sin(α_inclination)
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

F_braking = m*a-m*g*sin(α_inclination) --> 54.73*8.955-54.73*9.8*sin(1.1344640137961)

Evaluating ... ...

F_braking = 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 00.009 seconds)

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Home » Physics » Theory of Machine » Brakes and Dynamometers » Mechanical » Force » Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only

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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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Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only Formula

LaTeX Go

Braking Force = Mass of Vehicle*Retardation of Vehicle-Mass of Vehicle*Acceleration due to Gravity*sin(Angle of Inclination of Plane to Horizontal)
F_braking = m*a-m*g*sin(α_inclination)

How does Braking System Work in a Vehicle?

A vehicle's braking system works by converting kinetic energy into heat through friction. When the brake pedal is pressed, hydraulic or electronic systems activate the brakes. In disc brakes, brake pads press against the rotating disc to create friction, slowing the wheel. In drum brakes, brake shoes push against the inner surface of the drum. This frictional force slows the vehicle, while heat generated during braking is dissipated to prevent overheating.

How to Calculate Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only?

Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear 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 Rear Wheels when Brakes are Applied to Rear Wheels only formula is defined as the net force exerted at the rear wheels of a vehicle when the brakes are applied, taking into account the vehicle's mass, acceleration, and the inclination of the surface. Braking Force is denoted by F_braking symbol.

How to calculate Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only using this online calculator? To use this online calculator for Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only, enter Mass of Vehicle (m), Retardation of Vehicle (a), Acceleration due to Gravity (g) & Angle of Inclination of Plane to Horizontal (α_inclination) and hit the calculate button. Here is how the Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear 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 Rear Wheels when Brakes are Applied to Rear Wheels only?

Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only formula is defined as the net force exerted at the rear wheels of a vehicle when the brakes are applied, taking into account the vehicle's mass, acceleration, and the inclination of the surface and is represented as F_braking = m*a-m*g*sin(α_inclination) 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 Rear Wheels when Brakes are Applied to Rear Wheels only?

Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only formula is defined as the net force exerted at the rear wheels of a vehicle when the brakes are applied, taking into account the vehicle's mass, acceleration, and the inclination of the surface 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 Rear Wheels when Brakes are Applied to Rear Wheels only, you need Mass of Vehicle (m), Retardation of Vehicle (a), Acceleration due to Gravity (g) & Angle of Inclination of Plane to Horizontal (α_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

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