Radius of Drum Brake given Braking Torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Brake Drum = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Normal Reaction on Brake)
r = Mtfm/(μ*N)
This formula uses 4 Variables
Variables Used
Radius of Brake Drum - (Measured in Meter) - The Radius of Brake Drum is any of the line segments from the brake drum's center to its circumference.
Braking or Fixing Torque on Fixed Member - (Measured in Newton Meter) - Braking or fixing torque on fixed member is the measure of the force that can cause an object to rotate about an axis.
Coefficient of Friction for Brake - Coefficient of Friction for Brake is the ratio defining the force that resists the motion of the brake pad in relation to the brake disc or drum in contact with it.
Normal Reaction on Brake - (Measured in Newton) - Normal Reaction on Brake is the force exerted by the drum or the disc onto the brake or vice versa.
STEP 1: Convert Input(s) to Base Unit
Braking or Fixing Torque on Fixed Member: 609000 Newton Millimeter --> 609 Newton Meter (Check conversion here)
Coefficient of Friction for Brake: 0.35 --> No Conversion Required
Normal Reaction on Brake: 5800 Newton --> 5800 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = Mtfm/(μ*N) --> 609/(0.35*5800)
Evaluating ... ...
r = 0.3
STEP 3: Convert Result to Output's Unit
0.3 Meter -->300 Millimeter (Check conversion here)
FINAL ANSWER
300 Millimeter <-- Radius of Brake Drum
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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12 Block Brake Calculators

Actual Coefficient of Friction given Equivalent Coefficient of Friction
Go Coefficient of Friction for Brake = Equivalent Coefficient of Friction/((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle)))
Equivalent Coefficient of Friction in Block Brake with Long Shoe
Go Equivalent Coefficient of Friction = Coefficient of Friction for Brake*((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle)))
Radius of Drum given Distance from Center of Drum to Pivoted Shoe
Go Radius of Brake Drum = Distance from Center of Drum to Pivot*(2*Semi-Block Angle+sin(2*Semi-Block Angle))/(4*sin(Semi-Block Angle))
Distance from Center of Drum to Pivoted Shoe
Go Distance from Center of Drum to Pivot = 4*Radius of Brake Drum*sin(Semi-Block Angle)/(2*Semi-Block Angle+sin(2*Semi-Block Angle))
Coefficient of Friction given Braking Torque
Go Coefficient of Friction for Brake = Braking or Fixing Torque on Fixed Member/(Normal Reaction on Brake*Radius of Brake Drum)
Normal Reaction Force given Braking Torque
Go Normal Reaction on Brake = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Radius of Brake Drum)
Radius of Drum Brake given Braking Torque
Go Radius of Brake Drum = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Normal Reaction on Brake)
Braking Torque when Brakes are Applied
Go Braking or Fixing Torque on Fixed Member = Coefficient of Friction for Brake*Normal Reaction on Brake*Radius of Brake Drum
Width of Block given Normal Reaction Force
Go Width of Brake Block Shoe = Normal Reaction on Brake/(Pressure Between Block and Brake Drum*Length of Block of Brake)
Length of Block given Normal Reaction
Go Length of Block of Brake = Normal Reaction on Brake/(Width of Brake Block Shoe*Pressure Between Block and Brake Drum)
Permissible Pressure between Block and Brake Drum given Normal Reaction
Go Pressure Between Block and Brake Drum = Normal Reaction on Brake/Length of Block of Brake*Width of Brake Block Shoe
Normal Reaction Force
Go Normal Reaction on Brake = Pressure Between Block and Brake Drum*Length of Block of Brake*Width of Brake Block Shoe

Radius of Drum Brake given Braking Torque Formula

Radius of Brake Drum = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Normal Reaction on Brake)
r = Mtfm/(μ*N)

Define Braking Torque?

Brake torque is essentially the power of the braking system. The force exerted by the caliper, multiplied by the effective radius of the system equals the brake torque. Increasing either the force applied by the caliper, or the effective radius results in increased brake torque.

How to Calculate Radius of Drum Brake given Braking Torque?

Radius of Drum Brake given Braking Torque calculator uses Radius of Brake Drum = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Normal Reaction on Brake) to calculate the Radius of Brake Drum, The Radius of Drum Brake given Braking Torque formula is defined as radius of drum brake when we are applying Brakes. Radius of Brake Drum is denoted by r symbol.

How to calculate Radius of Drum Brake given Braking Torque using this online calculator? To use this online calculator for Radius of Drum Brake given Braking Torque, enter Braking or Fixing Torque on Fixed Member (Mtfm), Coefficient of Friction for Brake (μ) & Normal Reaction on Brake (N) and hit the calculate button. Here is how the Radius of Drum Brake given Braking Torque calculation can be explained with given input values -> 300000 = 609/(0.35*5800).

FAQ

What is Radius of Drum Brake given Braking Torque?
The Radius of Drum Brake given Braking Torque formula is defined as radius of drum brake when we are applying Brakes and is represented as r = Mtfm/(μ*N) or Radius of Brake Drum = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Normal Reaction on Brake). Braking or fixing torque on fixed member is the measure of the force that can cause an object to rotate about an axis, Coefficient of Friction for Brake is the ratio defining the force that resists the motion of the brake pad in relation to the brake disc or drum in contact with it & Normal Reaction on Brake is the force exerted by the drum or the disc onto the brake or vice versa.
How to calculate Radius of Drum Brake given Braking Torque?
The Radius of Drum Brake given Braking Torque formula is defined as radius of drum brake when we are applying Brakes is calculated using Radius of Brake Drum = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Normal Reaction on Brake). To calculate Radius of Drum Brake given Braking Torque, you need Braking or Fixing Torque on Fixed Member (Mtfm), Coefficient of Friction for Brake (μ) & Normal Reaction on Brake (N). With our tool, you need to enter the respective value for Braking or Fixing Torque on Fixed Member, Coefficient of Friction for Brake & Normal Reaction on Brake 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 Radius of Brake Drum?
In this formula, Radius of Brake Drum uses Braking or Fixing Torque on Fixed Member, Coefficient of Friction for Brake & Normal Reaction on Brake. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radius of Brake Drum = Distance from Center of Drum to Pivot*(2*Semi-Block Angle+sin(2*Semi-Block Angle))/(4*sin(Semi-Block Angle))
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