Angular Dimension of Pad given Area of Brake Pad Calculator

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Design of Brakes

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✖Area of Brake Pad is the actual area of the brake pad that we are using in a disk brake or a drum brake.ⓘ Area of Brake Pad [A]			+10% -10%
✖Brake Pad Outer Radius is defined as the outer radius of the brake pad.ⓘ Brake Pad Outer Radius [R_o]			+10% -10%
✖Brake Pad Inner Radius is defined as the inner radius of the brake pad.ⓘ Brake Pad Inner Radius [R_i]			+10% -10%

✖Angular Dimension of Pad specifies the angle of the annular pad.ⓘ Angular Dimension of Pad given Area of Brake Pad [θ_pad]

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Formula

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Angular Dimension of Pad given Area of Brake Pad

Formula

`"θ"_{"pad"} = 2*"A"/("R"_{"o"}^2-"R"_{"i"}^2)`

Example

`"1.955556rad"=2*"5500mm²"/(("125mm")^2-("100mm")^2)`

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Angular Dimension of Pad given Area of Brake Pad Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Dimension of Pad = 2*Area of Brake Pad/(Brake Pad Outer Radius^2-Brake Pad Inner Radius^2)
θ_pad = 2*A/(R_o^2-R_i^2)
This formula uses 4 Variables

Variables Used

Angular Dimension of Pad - (Measured in Radian) - Angular Dimension of Pad specifies the angle of the annular pad.
Area of Brake Pad - (Measured in Square Meter) - Area of Brake Pad is the actual area of the brake pad that we are using in a disk brake or a drum brake.
Brake Pad Outer Radius - (Measured in Meter) - Brake Pad Outer Radius is defined as the outer radius of the brake pad.
Brake Pad Inner Radius - (Measured in Meter) - Brake Pad Inner Radius is defined as the inner radius of the brake pad.

STEP 1: Convert Input(s) to Base Unit

Area of Brake Pad: 5500 Square Millimeter --> 0.0055 Square Meter (Check conversion here)
Brake Pad Outer Radius: 125 Millimeter --> 0.125 Meter (Check conversion here)
Brake Pad Inner Radius: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_pad = 2*A/(R_o^2-R_i^2) --> 2*0.0055/(0.125^2-0.1^2)

Evaluating ... ...

θ_pad = 1.95555555555556

STEP 3: Convert Result to Output's Unit

1.95555555555556 Radian --> No Conversion Required

FINAL ANSWER

1.95555555555556 ≈ 1.955556 Radian <-- Angular Dimension of Pad

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Brakes » Disk Brakes » Angular Dimension of Pad given Area of Brake Pad

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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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 12 Disk Brakes Calculators

Friction Radius of Disk Brake

Go Friction Radius of Brake = 2*(Brake Pad Outer Radius^3-Brake Pad Inner Radius^3)/(3*(Brake Pad Outer Radius^2-Brake Pad Inner Radius^2))

Outer Radius of Brake Pad given Area of Brake Pad

Go Brake Pad Outer Radius = sqrt((2*Area of Brake Pad/Angular Dimension of Pad)+Brake Pad Inner Radius^2)

Inner Radius of Brake Pad given Area of Brake Pad

Go Brake Pad Inner Radius = sqrt(Brake Pad Outer Radius^2-(2*Area of Brake Pad/Angular Dimension of Pad))

Coefficient of Friction given Torque Capacity of Disk Brake

Go Coefficient of Friction for Brake = Torque absorbed by brake/(Actuating force on brake*Friction Radius of Brake)

Actuating Force given Torque Capacity of Disk Brake

Go Actuating force on brake = Torque absorbed by brake/(Coefficient of Friction for Brake*Friction Radius of Brake)

Friction Radius given Torque Capacity of Disk Brake

Go Friction Radius of Brake = Torque absorbed by brake/(Coefficient of Friction for Brake*Actuating force on brake)

Torque Capacity of Disk Brake

Go Torque absorbed by brake = Coefficient of Friction for Brake*Actuating force on brake*Friction Radius of Brake

Angular Dimension of Pad given Area of Brake Pad

Go Angular Dimension of Pad = 2*Area of Brake Pad/(Brake Pad Outer Radius^2-Brake Pad Inner Radius^2)

Area of Brake Pad

Go Area of Brake Pad = Angular Dimension of Pad*(Brake Pad Outer Radius^2-Brake Pad Inner Radius^2)/2

Average Pressure given Actuating Force

Go Average Pressure on Brake = Actuating force on brake/Area of Brake Pad

Area of Pad given Actuating Force

Go Area of Brake Pad = Actuating force on brake/Average Pressure on Brake

Actuating Force

Go Actuating force on brake = Average Pressure on Brake*Area of Brake Pad

Angular Dimension of Pad given Area of Brake Pad Formula

Angular Dimension of Pad = 2*Area of Brake Pad/(Brake Pad Outer Radius^2-Brake Pad Inner Radius^2)
θ_pad = 2*A/(R_o^2-R_i^2)

Define Disk Brake?

A disc brake is a type of brake that uses the calipers to squeeze pairs of pads against a disc or a "rotor" to create friction. This action slows the rotation of a shaft, such as a vehicle axle, either to reduce its rotational speed or to hold it stationary.

How to Calculate Angular Dimension of Pad given Area of Brake Pad?

Angular Dimension of Pad given Area of Brake Pad calculator uses Angular Dimension of Pad = 2*Area of Brake Pad/(Brake Pad Outer Radius^2-Brake Pad Inner Radius^2) to calculate the Angular Dimension of Pad, The Angular Dimension of Pad given Area of Brake Pad formula specifies the angle subtended by the annular brake pad in the disk brakes. Angular Dimension of Pad is denoted by θ_pad symbol.

How to calculate Angular Dimension of Pad given Area of Brake Pad using this online calculator? To use this online calculator for Angular Dimension of Pad given Area of Brake Pad, enter Area of Brake Pad (A), Brake Pad Outer Radius (R_o) & Brake Pad Inner Radius (R_i) and hit the calculate button. Here is how the Angular Dimension of Pad given Area of Brake Pad calculation can be explained with given input values -> 1.955556 = 2*0.0055/(0.125^2-0.1^2).

FAQ

What is Angular Dimension of Pad given Area of Brake Pad?

The Angular Dimension of Pad given Area of Brake Pad formula specifies the angle subtended by the annular brake pad in the disk brakes and is represented as θ_pad = 2*A/(R_o^2-R_i^2) or Angular Dimension of Pad = 2*Area of Brake Pad/(Brake Pad Outer Radius^2-Brake Pad Inner Radius^2). Area of Brake Pad is the actual area of the brake pad that we are using in a disk brake or a drum brake, Brake Pad Outer Radius is defined as the outer radius of the brake pad & Brake Pad Inner Radius is defined as the inner radius of the brake pad.

How to calculate Angular Dimension of Pad given Area of Brake Pad?

The Angular Dimension of Pad given Area of Brake Pad formula specifies the angle subtended by the annular brake pad in the disk brakes is calculated using Angular Dimension of Pad = 2*Area of Brake Pad/(Brake Pad Outer Radius^2-Brake Pad Inner Radius^2). To calculate Angular Dimension of Pad given Area of Brake Pad, you need Area of Brake Pad (A), Brake Pad Outer Radius (R_o) & Brake Pad Inner Radius (R_i). With our tool, you need to enter the respective value for Area of Brake Pad, Brake Pad Outer Radius & Brake Pad Inner Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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