Friction Radius given Torque Capacity of Disk Brake Calculator

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✖Torque absorbed by brake is described as the turning effect of force on the axis of rotation of the brake disc.ⓘ Torque absorbed by brake [M_t]			+10% -10%
✖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.ⓘ Coefficient of Friction for Brake [μ]			+10% -10%
✖Actuating force on brake is defined as the amount of force required to actuate the braking mechanism.ⓘ Actuating force on brake [F]			+10% -10%

✖Friction Radius of Brake specifies a characteristic radius for a disc clutch/brake.ⓘ Friction Radius given Torque Capacity of Disk Brake [R_f]

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Formula

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Friction Radius given Torque Capacity of Disk Brake

Formula

`"R"_{"f"} = "M"_{"t"}/("μ"*"F")`

Example

`"125.974mm"="485000N*mm"/("0.35"*"11000N")`

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Friction Radius given Torque Capacity of Disk Brake Solution

STEP 0: Pre-Calculation Summary

Formula Used

Friction Radius of Brake = Torque absorbed by brake/(Coefficient of Friction for Brake*Actuating force on brake)
R_f = M_t/(μ*F)
This formula uses 4 Variables

Variables Used

Friction Radius of Brake - (Measured in Meter) - Friction Radius of Brake specifies a characteristic radius for a disc clutch/brake.
Torque absorbed by brake - (Measured in Newton Meter) - Torque absorbed by brake is described as the turning effect of force on the axis of rotation of the brake disc.
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.
Actuating force on brake - (Measured in Newton) - Actuating force on brake is defined as the amount of force required to actuate the braking mechanism.

STEP 1: Convert Input(s) to Base Unit

Torque absorbed by brake: 485000 Newton Millimeter --> 485 Newton Meter (Check conversion here)
Coefficient of Friction for Brake: 0.35 --> No Conversion Required
Actuating force on brake: 11000 Newton --> 11000 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_f = M_t/(μ*F) --> 485/(0.35*11000)

Evaluating ... ...

R_f = 0.125974025974026

STEP 3: Convert Result to Output's Unit

0.125974025974026 Meter -->125.974025974026 Millimeter (Check conversion here)

FINAL ANSWER

125.974025974026 ≈ 125.974 Millimeter <-- Friction Radius of Brake

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< 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

Friction Radius given Torque Capacity of Disk Brake Formula

Friction Radius of Brake = Torque absorbed by brake/(Coefficient of Friction for Brake*Actuating force on brake)
R_f = M_t/(μ*F)

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 Friction Radius given Torque Capacity of Disk Brake?

Friction Radius given Torque Capacity of Disk Brake calculator uses Friction Radius of Brake = Torque absorbed by brake/(Coefficient of Friction for Brake*Actuating force on brake) to calculate the Friction Radius of Brake, The Friction Radius given Torque Capacity of Disk Brake formula specifies a characteristic radius for a disc clutch/brake. Friction Radius of Brake is denoted by R_f symbol.

How to calculate Friction Radius given Torque Capacity of Disk Brake using this online calculator? To use this online calculator for Friction Radius given Torque Capacity of Disk Brake, enter Torque absorbed by brake (M_t), Coefficient of Friction for Brake (μ) & Actuating force on brake (F) and hit the calculate button. Here is how the Friction Radius given Torque Capacity of Disk Brake calculation can be explained with given input values -> 125974 = 485/(0.35*11000).

FAQ

What is Friction Radius given Torque Capacity of Disk Brake?

The Friction Radius given Torque Capacity of Disk Brake formula specifies a characteristic radius for a disc clutch/brake and is represented as R_f = M_t/(μ*F) or Friction Radius of Brake = Torque absorbed by brake/(Coefficient of Friction for Brake*Actuating force on brake). Torque absorbed by brake is described as the turning effect of force on the axis of rotation of the brake disc, 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 & Actuating force on brake is defined as the amount of force required to actuate the braking mechanism.

How to calculate Friction Radius given Torque Capacity of Disk Brake?

The Friction Radius given Torque Capacity of Disk Brake formula specifies a characteristic radius for a disc clutch/brake is calculated using Friction Radius of Brake = Torque absorbed by brake/(Coefficient of Friction for Brake*Actuating force on brake). To calculate Friction Radius given Torque Capacity of Disk Brake, you need Torque absorbed by brake (M_t), Coefficient of Friction for Brake (μ) & Actuating force on brake (F). With our tool, you need to enter the respective value for Torque absorbed by brake, Coefficient of Friction for Brake & Actuating force 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 Friction Radius of Brake?

In this formula, Friction Radius of Brake uses Torque absorbed by brake, Coefficient of Friction for Brake & Actuating force on brake. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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