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Collar Friction Torque in Accordance of Uniform Pressure Theory Formula

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Collar Friction Torque is the rotational force that opposes motion at the interface between the collar and the surrounding structure in a machine element. Check FAQs

T c = \frac{(μ f \cdot W load) \cdot ({d 0}^{3} - {d i coller}^{3})}{3 \cdot ({d 0}^{2} - {d i coller}^{2})}

T_c - Collar Friction Torque?μ_f - Coefficient of Friction?W_load - Load?d₀ - Outer Diameter of Collar?d_{i coller} - Inner Diameter of Collar?

Collar Friction Torque in Accordance of Uniform Pressure Theory Example

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Here is how the Collar Friction Torque in Accordance of Uniform Pressure Theory equation looks like with Values.

Here is how the Collar Friction Torque in Accordance of Uniform Pressure Theory equation looks like with Units.

Here is how the Collar Friction Torque in Accordance of Uniform Pressure Theory equation looks like.

47.12 = \frac{(0.3 \cdot 3600) \cdot (120^{3} - 42^{3})}{3 \cdot (120^{2} - 42^{2})}

47.12N*m = \frac{(0.3 \cdot 3600N) \cdot ({120mm}^{3} - {42mm}^{3})}{3 \cdot ({120mm}^{2} - {42mm}^{2})}

47.12 = \frac{(0.3 \cdot 3600) \cdot (120^{3} - 42^{3})}{3 \cdot (120^{2} - 42^{2})}

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Collar Friction Torque in Accordance of Uniform Pressure Theory Solution

Follow our step by step solution on how to calculate Collar Friction Torque in Accordance of Uniform Pressure Theory?

FIRST Step Consider the formula

T c = \frac{(μ f \cdot W load) \cdot ({d 0}^{3} - {d i coller}^{3})}{3 \cdot ({d 0}^{2} - {d i coller}^{2})}

Next Step Substitute values of Variables

∴

T c = \frac{(0.3 \cdot 3600N) \cdot ({120mm}^{3} - {42mm}^{3})}{3 \cdot ({120mm}^{2} - {42mm}^{2})}

Next Step Convert Units

∴

T c = \frac{(0.3 \cdot 3600N) \cdot ({0.12m}^{3} - {0.042m}^{3})}{3 \cdot ({0.12m}^{2} - {0.042m}^{2})}

Next Step Prepare to Evaluate

∴

T c = \frac{(0.3 \cdot 3600) \cdot ({0.12}^{3} - {0.042}^{3})}{3 \cdot ({0.12}^{2} - {0.042}^{2})}

LAST Step Evaluate

∴

T c = 47.12N*m

Collar Friction Torque in Accordance of Uniform Pressure Theory Formula Elements

Variables

Collar Friction Torque

Collar Friction Torque is the rotational force that opposes motion at the interface between the collar and the surrounding structure in a machine element.

Symbol: T_c

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Collar Friction Torque

Coefficient of Friction

Coefficient of Friction is a dimensionless scalar value that characterizes the frictional force between two surfaces in contact under constant pressure conditions.

Symbol: μ_f

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

Load

Load is the force applied per unit area on an object, resulting in its deformation or change in its original shape and size.

Symbol: W_load

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load

Outer Diameter of Collar

Outer Diameter of Collar is the diameter of the collar that is calculated based on the constant pressure theory in a specific engineering application.

Symbol: d₀

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Outer Diameter of Collar

Inner Diameter of Collar

Inner Diameter of Collar is the internal diameter of the collar, which is a critical dimension in the design of components under constant pressure.

Symbol: d_{i coller}

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Inner Diameter of Collar

Other formulas in Constant Pressure Theory category

Go Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter

P a = π \cdot P p \cdot \frac{({d o}^{2}) - ({d i clutch}^{2})}{4}

Go Pressure on Clutch Plate from Constant Pressure Theory given Axial Force

P p = 4 \cdot \frac{P a}{π \cdot (({d o}^{2}) - ({d i clutch}^{2}))}

Go Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter

P a = M T \cdot \frac{3 \cdot ({d o}^{2} - {d i clutch}^{2})}{μ \cdot ({d o}^{3} - {d i clutch}^{3})}

Go Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters

μ = 12 \cdot \frac{M T}{π \cdot P p \cdot (({d o}^{3}) - ({d i clutch}^{3}))}

How to Evaluate Collar Friction Torque in Accordance of Uniform Pressure Theory?

Collar Friction Torque in Accordance of Uniform Pressure Theory evaluator uses Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2)) to evaluate the Collar Friction Torque, Collar Friction Torque in Accordance of Uniform Pressure Theory formula is defined as the rotational force that opposes motion in a collar bearing, resulting from the frictional forces generated by the uniform pressure distribution between the collar and the bearing surface. Collar Friction Torque is denoted by T_c symbol.

How to evaluate Collar Friction Torque in Accordance of Uniform Pressure Theory using this online evaluator? To use this online evaluator for Collar Friction Torque in Accordance of Uniform Pressure Theory, enter Coefficient of Friction (μ_f), Load (W_load), Outer Diameter of Collar (d₀) & Inner Diameter of Collar (d_{i coller}) and hit the calculate button.

FAQs on Collar Friction Torque in Accordance of Uniform Pressure Theory

What is the formula to find Collar Friction Torque in Accordance of Uniform Pressure Theory?

The formula of Collar Friction Torque in Accordance of Uniform Pressure Theory is expressed as Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2)). Here is an example- 47.12 = ((0.3*3600)*(0.12^3-0.042^3))/(3*(0.12^2-0.042^2)).

How to calculate Collar Friction Torque in Accordance of Uniform Pressure Theory?

With Coefficient of Friction (μ_f), Load (W_load), Outer Diameter of Collar (d₀) & Inner Diameter of Collar (d_{i coller}) we can find Collar Friction Torque in Accordance of Uniform Pressure Theory using the formula - Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2)).

Can the Collar Friction Torque in Accordance of Uniform Pressure Theory be negative?

No, the Collar Friction Torque in Accordance of Uniform Pressure Theory, measured in Torque cannot be negative.

Which unit is used to measure Collar Friction Torque in Accordance of Uniform Pressure Theory?

Collar Friction Torque in Accordance of Uniform Pressure Theory is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Collar Friction Torque in Accordance of Uniform Pressure Theory can be measured.

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