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Gradient Descend Brake Drum Force Formula

GoBraking Force on Brake Drum on Level Road Formula

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Brake Drum Braking Force is defined as the force acting on the brake drum by the brake shoe when the braking is actuated by the driver. Check FAQs

F = \frac{W}{g} \cdot f + W \cdot \sin (α inc)

F - Brake Drum Braking Force?W - Vehicle Weight?g - Acceleration due to Gravity?f - Vehicle Deceleration?α_inc - Angle of Inclination of Plane to Horizontal?

Gradient Descend Brake Drum Force Example

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Here is how the Gradient Descend Brake Drum Force equation looks like with Values.

Here is how the Gradient Descend Brake Drum Force equation looks like with Units.

Here is how the Gradient Descend Brake Drum Force equation looks like.

7802.9403 = \frac{11000}{9.8} \cdot 6.95 + 11000 \cdot \sin (0.01)

7802.9403N = \frac{11000N}{9.8m/s²} \cdot 6.95m/s² + 11000N \cdot \sin (0.01°)

7802.9403 = \frac{11000}{9.8} \cdot 6.95 + 11000 \cdot \sin (0.01)

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Gradient Descend Brake Drum Force Solution

Follow our step by step solution on how to calculate Gradient Descend Brake Drum Force?

FIRST Step Consider the formula

F = \frac{W}{g} \cdot f + W \cdot \sin (α inc)

Next Step Substitute values of Variables

∴

F = \frac{11000N}{9.8m/s²} \cdot 6.95m/s² + 11000N \cdot \sin (0.01°)

Next Step Convert Units

∴

F = \frac{11000N}{9.8m/s²} \cdot 6.95m/s² + 11000N \cdot \sin (0.0002rad)

Next Step Prepare to Evaluate

∴

F = \frac{11000}{9.8} \cdot 6.95 + 11000 \cdot \sin (0.0002)

Next Step Evaluate

∴

F = 7802.94027033071N

LAST Step Rounding Answer

∴

F = 7802.9403N

Gradient Descend Brake Drum Force Formula Elements

Variables

Functions

Brake Drum Braking Force

Brake Drum Braking Force is defined as the force acting on the brake drum by the brake shoe when the braking is actuated by the driver.

Symbol: F

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Brake Drum Braking Force

Vehicle Weight

Vehicle Weight is the heaviness of the vehicle, generally expressed in Newtons.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vehicle Weight

Acceleration due to Gravity

Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Vehicle Deceleration

Vehicle Deceleration is defined as the reduction in acceleration of a vehicle because of the application of brakes.

Symbol: f

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Vehicle Deceleration

Angle of Inclination of Plane to Horizontal

Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians.

Symbol: α_inc

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle of Inclination of Plane to Horizontal

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 Brake Drum Braking Force

Go Braking Force on Brake Drum on Level Road

F = \frac{W}{g} \cdot f

Other formulas in Vehicle Braking Dynamics category

Go Braking Torque of Leading Shoe

T l = \frac{W l \cdot m \cdot μf \cdot k}{n t + (μf \cdot k)}

Go Braking Torque of Trailing Shoe

T t = \frac{W t \cdot n t \cdot μ 0 \cdot k}{n t - μ 0 \cdot k}

Go Braking Torque of Disc Brake

T s = 2 \cdot p \cdot a p \cdot μ p \cdot R m \cdot n

Go All Wheel Braking Retardation

a = [g] \cdot (μ \cdot \cos (θ) - \sin (θ))

How to Evaluate Gradient Descend Brake Drum Force?

Gradient Descend Brake Drum Force evaluator uses Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal) to evaluate the Brake Drum Braking Force, Gradient Descend Brake Drum Force formula is defined as the force acting on the brake drum when the brake pedal is pushed and the vehicle is moving down the gradient. Brake Drum Braking Force is denoted by F symbol.

How to evaluate Gradient Descend Brake Drum Force using this online evaluator? To use this online evaluator for Gradient Descend Brake Drum Force, enter Vehicle Weight (W), Acceleration due to Gravity (g), Vehicle Deceleration (f) & Angle of Inclination of Plane to Horizontal (α_inc) and hit the calculate button.

FAQs on Gradient Descend Brake Drum Force

What is the formula to find Gradient Descend Brake Drum Force?

The formula of Gradient Descend Brake Drum Force is expressed as Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal). Here is an example- 7802.94 = 11000/9.8*6.95+11000*sin(0.0001745329251994).

How to calculate Gradient Descend Brake Drum Force?

With Vehicle Weight (W), Acceleration due to Gravity (g), Vehicle Deceleration (f) & Angle of Inclination of Plane to Horizontal (α_inc) we can find Gradient Descend Brake Drum Force using the formula - Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Brake Drum Braking Force?

Here are the different ways to Calculate Brake Drum Braking Force-

Brake Drum Braking Force=Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration

Can the Gradient Descend Brake Drum Force be negative?

Yes, the Gradient Descend Brake Drum Force, measured in Force can be negative.

Which unit is used to measure Gradient Descend Brake Drum Force?

Gradient Descend Brake Drum Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Gradient Descend Brake Drum Force can be measured.

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