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Braking Force is the force that slows down or stops the motion of an object, typically applied through friction or other external means. Check FAQs
Fbraking=m⋅a-m⋅g⋅sin(αinclination)
Fbraking - Braking Force?m - Mass of Vehicle?a - Retardation of Vehicle?g - Acceleration due to Gravity?αinclination - Angle of Inclination of Plane to Horizontal?

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

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Here is how the Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only equation looks like with Values.

Here is how the Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only equation looks like with Units.

Here is how the Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only equation looks like.

4.0053Edit=54.73Edit⋅8.955Edit-54.73Edit⋅9.8Edit⋅sin(65Edit)
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Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only Solution

Follow our step by step solution on how to calculate Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only?

FIRST Step Consider the formula
Fbraking=m⋅a-m⋅g⋅sin(αinclination)
Next Step Substitute values of Variables
∴ Fbraking=54.73kg⋅8.955m/s²-54.73kg⋅9.8m/s²⋅sin(65°)
Next Step Convert Units
∴ Fbraking=54.73kg⋅8.955m/s²-54.73kg⋅9.8m/s²⋅sin(1.1345rad)
Next Step Prepare to Evaluate
∴ Fbraking=54.73⋅8.955-54.73⋅9.8⋅sin(1.1345)
Next Step Evaluate
∴Fbraking=4.00534319179314N
LAST Step Rounding Answer
∴Fbraking=4.0053N

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

Variables
Functions
Braking Force
Braking Force is the force that slows down or stops the motion of an object, typically applied through friction or other external means.
Symbol: Fbraking
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Braking ForceOpen Variable
Mass of Vehicle
Mass of Vehicle is the total weight of a vehicle, including the driver, passengers, cargo, and fuel, which affects its acceleration and overall performance.
Symbol: m
Measurement: WeightUnit: kg
Note: Value should be greater than 0.
Formulas to find Mass of VehicleOpen Variable
Retardation of Vehicle
Retardation of Vehicle Force is the force that opposes the motion of a vehicle, slowing it down or bringing it to a complete stop.
Symbol: a
Measurement: AccelerationUnit: m/s²
Note: Value can be positive or negative.
Formulas to find Retardation of VehicleOpen Variable
Acceleration due to Gravity
Acceleration due to Gravity is the downward force exerted on objects by the Earth's mass, pulling them towards its center.
Symbol: g
Measurement: AccelerationUnit: m/s²
Note: Value should be greater than 0.
Formulas to find Acceleration due to GravityOpen Variable
Angle of Inclination of Plane to Horizontal
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.
Symbol: αinclination
Measurement: AngleUnit: °
Note: Value should be between 0 to 90.
Formulas to find Angle of Inclination of Plane to HorizontalOpen Variable
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.
Syntax: sin(Angle)

Other Formulas to find Braking Force

​Go Braking Force on Drum for Simple Band Brake
Fbraking=T1-T2
​Go Maximum Braking Force Acting at Front Wheels when Brakes are Applied to Front Wheels only
Fbraking=μbrake⋅RA
​Go Maximum Value of Total Braking Force Acting at Rear Wheels when Brakes Applied to Rear Wheels only
Fbraking=μbrake⋅RB
​Go Total Braking Force Acting at Front Wheels (when Brakes are Applied to Front Wheels only)
Fbraking=m⋅a-m⋅g⋅sin(αinclination)

Other formulas in Force category

​Go Force on Lever of Simple Band Brake for Anticlockwise Rotation of Drum
P=T2⋅bl
​Go Force on Lever of Simple Band Brake for Clockwise Rotation of Drum
P=T1⋅bl
​Go Tangential Braking Force Acting at Contact Surface of Block and Wheel for Shoe Brake
Ft=μbrake⋅RN
​Go Tangential Braking Force given Normal Force on Brake Block
Ft=μbrake⋅RN⋅rwheel

How to Evaluate 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 evaluator 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 evaluate 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 Fbraking symbol.

How to evaluate Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only using this online evaluator? To use this online evaluator 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 (αinclination) and hit the calculate button.

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

What is the formula to find Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only?
The formula of Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only is expressed as Braking Force = Mass of Vehicle*Retardation of Vehicle-Mass of Vehicle*Acceleration due to Gravity*sin(Angle of Inclination of Plane to Horizontal). Here is an example- 6.468193 = 54.73*8.955-54.73*9.8*sin(1.1344640137961).
How to calculate Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only?
With Mass of Vehicle (m), Retardation of Vehicle (a), Acceleration due to Gravity (g) & Angle of Inclination of Plane to Horizontal (αinclination) we can find Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only using the formula - Braking Force = Mass of Vehicle*Retardation of Vehicle-Mass of Vehicle*Acceleration due to Gravity*sin(Angle of Inclination of Plane to Horizontal). This formula also uses Sine (sin) function(s).
What are the other ways to Calculate Braking Force?
Here are the different ways to Calculate Braking Force-
  • Braking Force=Tension in Tight Side of the Band-Tension in the Slack Side of BandOpenImg
  • Braking Force=Coefficient of Friction for Brake*Normal Reaction between Ground and Front WheelOpenImg
  • Braking Force=Coefficient of Friction for Brake*Normal Reaction between Ground and Rear WheelOpenImg
Can the Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only be negative?
No, the Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only, measured in Force cannot be negative.
Which unit is used to measure 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 is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Total Braking Force Acting at Rear Wheels when Brakes are Applied to Rear Wheels only can be measured.
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