Gradient Descend Brake Drum Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal)
F = W/g*f+W*sin(αinc)
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
Brake Drum Braking Force - (Measured in Newton) - 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.
Vehicle Weight - (Measured in Newton) - Vehicle Weight is the heaviness of the vehicle, generally expressed in Newtons.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Vehicle Deceleration - (Measured in Meter per Square Second) - Vehicle Deceleration is defined as the reduction in acceleration of a vehicle because of the application of brakes.
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
Vehicle Weight: 11000 Newton --> 11000 Newton No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Vehicle Deceleration: 6.95 Meter per Square Second --> 6.95 Meter per Square Second No Conversion Required
Angle of Inclination of Plane to Horizontal: 0.01 Degree --> 0.0001745329251994 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = W/g*f+W*sin(αinc) --> 11000/9.8*6.95+11000*sin(0.0001745329251994)
Evaluating ... ...
F = 7802.94027033071
STEP 3: Convert Result to Output's Unit
7802.94027033071 Newton --> No Conversion Required
FINAL ANSWER
7802.94027033071 7802.94 Newton <-- Brake Drum Braking Force
(Calculation completed in 00.020 seconds)

Credits

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
Syed Adnan has created this Calculator and 200+ more calculators!
Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
Kartikay Pandit has verified this Calculator and 400+ more calculators!

11 Vehicle Braking Dynamics Calculators

Braking Torque of Leading Shoe
Go Leading Shoe Braking Torque = (Leading Shoe Actuating Force*Distance of Actuating Force from Horizontal*Friction Coefficient between Drum and Shoe*Effective Radius of Normal Force)/(Force of Trailing Shoe Distance from Horizontal+(Friction Coefficient between Drum and Shoe*Effective Radius of Normal Force))
Braking Torque of Trailing Shoe
Go Trailing Shoe Braking Torque = (Trailing Shoe Actuating Force*Force of Trailing Shoe Distance from Horizontal*Friction Coefficient for Smooth Road*Effective Radius of Normal Force)/(Force of Trailing Shoe Distance from Horizontal-Friction Coefficient for Smooth Road*Effective Radius of Normal Force)
Mean Lining Pressure of Brake Lining
Go Mean Lining Pressure = (180/(8*pi))*(Brake Drum Braking Force*Effective Wheel Radius)/(Friction Coefficient between Drum and Shoe*Brake Drum Radius^2*Brake Lining Width*Angle between Linings of Brake Shoes)
Gradient Descend Brake Drum Force
Go Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal)
Friction Coefficient between Wheel and Road Surface with Retardation
Go Friction Coefficient between Wheels and Ground = (Retardation Produced by Braking/[g]+sin(Inclination Angle of Road))/cos(Inclination Angle of Road)
All Wheel Braking Retardation
Go Retardation Produced by Braking = [g]*(Friction Coefficient between Wheels and Ground*cos(Inclination Angle of Road)-sin(Inclination Angle of Road))
Braking Torque of Disc Brake
Go Disc Brake Braking Torque = 2*Line Pressure*Area of One Piston per Caliper*Friction Coefficient of Pad Material*Mean Radius of Caliper Unit to Disc Axis*Number of Caliper Units
Normal Force at Brake Shoe Contact Point
Go Normal Force between Shoe and Drum = (Brake Drum Braking Force*Effective Wheel Radius)/(8*Friction Coefficient between Drum and Shoe*Angle between Linings of Brake Shoes)
Ground Speed of Track Laying Vehicle
Go Ground Speed of Track Laying Vehicle = (Engine RPM*Driving Sprocket Circumference)/(16660*Overall Gear Reduction)
Braking Force on Brake Drum on Level Road
Go Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration
Wheel Heat Generation Rate
Go Heat Generated per Second at Each Wheel = (Brake Drum Braking Force*Vehicle Speed)/4

Gradient Descend Brake Drum Force Formula

Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal)
F = W/g*f+W*sin(αinc)

What is a braking force that acts on the brake drum?

Brake shoes fitted with brake linings (friction material) which press against the drums from the inside to generate braking force (decelerate and stop) are set inside of the drums. With this system, friction is generated by pressing the brake linings against the inside surfaces of the drums. This friction converts kinetic energy into thermal energy.

How to Calculate Gradient Descend Brake Drum Force?

Gradient Descend Brake Drum Force calculator uses Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal) to calculate 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 calculate Gradient Descend Brake Drum Force using this online calculator? To use this online calculator 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 inc) and hit the calculate button. Here is how the Gradient Descend Brake Drum Force calculation can be explained with given input values -> 15716.21 = 11000/9.8*6.95+11000*sin(0.0001745329251994).

FAQ

What is Gradient Descend Brake Drum 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 and is represented as F = W/g*f+W*sin(αinc) or Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal). Vehicle Weight is the heaviness of the vehicle, generally expressed in Newtons, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Vehicle Deceleration is defined as the reduction in acceleration of a vehicle because of the application of brakes & 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 Gradient Descend Brake Drum 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 is calculated using Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration+Vehicle Weight*sin(Angle of Inclination of Plane to Horizontal). To calculate Gradient Descend Brake Drum Force, you need Vehicle Weight (W), Acceleration due to Gravity (g), Vehicle Deceleration (f) & Angle of Inclination of Plane to Horizontal inc). With our tool, you need to enter the respective value for Vehicle Weight, Acceleration due to Gravity, Vehicle Deceleration & 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 Brake Drum Braking Force?
In this formula, Brake Drum Braking Force uses Vehicle Weight, Acceleration due to Gravity, Vehicle Deceleration & Angle of Inclination of Plane to Horizontal. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Brake Drum Braking Force = Vehicle Weight/Acceleration due to Gravity*Vehicle Deceleration
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!