Radius of Drum given Distance from Center of Drum to Pivoted Shoe Calculator

✖Distance From Center of Drum to Pivot is the Distance from the center of the brake drum to the pivoted end.ⓘ Distance From Center of Drum to Pivot [h]			+10% -10%
✖Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.ⓘ Semi-Block Angle [θ_w]			+10% -10%

✖The Radius of Brake Drum is any of the line segments from the brake drum's center to its circumference.ⓘ Radius of Drum given Distance from Center of Drum to Pivoted Shoe [r]

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Radius of Drum given Distance from Center of Drum to Pivoted Shoe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
r = h*(2*θ_w+sin(2*θ_w))/(4*sin(θ_w))
This formula uses 1 Functions, 3 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

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.
Distance From Center of Drum to Pivot - (Measured in Meter) - Distance From Center of Drum to Pivot is the Distance from the center of the brake drum to the pivoted end.
Semi-Block Angle - (Measured in Radian) - Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.

STEP 1: Convert Input(s) to Base Unit

Distance From Center of Drum to Pivot: 265 Millimeter --> 0.265 Meter (Check conversion here)
Semi-Block Angle: 0.87 Radian --> 0.87 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = h*(2*θ_w+sin(2*θ_w))/(4*sin(θ_w)) --> 0.265*(2*0.87+sin(2*0.87))/(4*sin(0.87))

Evaluating ... ...

r = 0.23625809105253

STEP 3: Convert Result to Output's Unit

0.23625809105253 Meter -->236.25809105253 Millimeter (Check conversion here)

FINAL ANSWER

236.25809105253 ≈ 236.2581 Millimeter <-- Radius of Brake Drum

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Block Brake Calculators

Actual Coefficient of Friction given Equivalent Coefficient of Friction

LaTeX 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

LaTeX Go Equivalent Coefficient of Friction = Coefficient of Friction For Brake*((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle)))

Coefficient of Friction given Braking Torque

LaTeX Go Coefficient of Friction For Brake = Braking or Fixing Torque on Fixed Member/(Normal Reaction on Brake*Radius of Brake Drum)

Braking Torque when Brakes are Applied

LaTeX Go Braking or Fixing Torque on Fixed Member = Coefficient of Friction For Brake*Normal Reaction on Brake*Radius of Brake Drum

Radius of Drum given Distance from Center of Drum to Pivoted Shoe Formula

LaTeX 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))
r = h*(2*θ_w+sin(2*θ_w))/(4*sin(θ_w))

Use of Pivoted Shoe Brakes?

Pivoted shoe brakes are mainly used in hoists and cranes. The applications of these brakes are limited because of the physical problem in locating a pivot so close to the drum surface.

How to Calculate Radius of Drum given Distance from Center of Drum to Pivoted Shoe?

Radius of Drum given Distance from Center of Drum to Pivoted Shoe calculator uses 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)) to calculate the Radius of Brake Drum, The Radius of Drum given Distance from Center of Drum to Pivoted Shoe formula is defined as radius of brake drum which we are using in pivoted block brake with long shoe. Radius of Brake Drum is denoted by r symbol.

How to calculate Radius of Drum given Distance from Center of Drum to Pivoted Shoe using this online calculator? To use this online calculator for Radius of Drum given Distance from Center of Drum to Pivoted Shoe, enter Distance From Center of Drum to Pivot (h) & Semi-Block Angle (θ_w) and hit the calculate button. Here is how the Radius of Drum given Distance from Center of Drum to Pivoted Shoe calculation can be explained with given input values -> 236258.1 = 0.265*(2*0.87+sin(2*0.87))/(4*sin(0.87)).

FAQ

What is Radius of Drum given Distance from Center of Drum to Pivoted Shoe?

The Radius of Drum given Distance from Center of Drum to Pivoted Shoe formula is defined as radius of brake drum which we are using in pivoted block brake with long shoe and is represented as r = h*(2*θ_w+sin(2*θ_w))/(4*sin(θ_w)) or 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 Pivot is the Distance from the center of the brake drum to the pivoted end & Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.

How to calculate Radius of Drum given Distance from Center of Drum to Pivoted Shoe?

The Radius of Drum given Distance from Center of Drum to Pivoted Shoe formula is defined as radius of brake drum which we are using in pivoted block brake with long shoe is calculated using 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)). To calculate Radius of Drum given Distance from Center of Drum to Pivoted Shoe, you need Distance From Center of Drum to Pivot (h) & Semi-Block Angle (θ_w). With our tool, you need to enter the respective value for Distance From Center of Drum to Pivot & Semi-Block Angle 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 Distance From Center of Drum to Pivot & Semi-Block Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius of Brake Drum = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction For Brake*Normal Reaction on Brake)

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