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Collar Friction Torque for Screw according to Uniform Pressure Theory Formula

GoCollar Friction Torque for Screw according to Uniform Wear Theory Formula

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Collar Friction Torque for Power Screw is the additional torque required to account for the friction between the Collar and Load of the power screw. Check FAQs

T c = \frac{μ collar \cdot W \cdot (({R 1}^{3}) - ({R 2}^{3}))}{(\frac{3}{2}) \cdot (({R 1}^{2}) - ({R 2}^{2}))}

T_c - Collar Friction Torque for Power Screw?μ_collar - Coefficient of Friction for Collar?W - Load on screw?R₁ - Outer Radius of Power Screw Collar?R₂ - Inner Radius of Power Screw Collar?

Collar Friction Torque for Screw according to Uniform Pressure Theory Example

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Here is how the Collar Friction Torque for Screw according to Uniform Pressure Theory equation looks like with Values.

Here is how the Collar Friction Torque for Screw according to Uniform Pressure Theory equation looks like with Units.

Here is how the Collar Friction Torque for Screw according to Uniform Pressure Theory equation looks like.

11951.1318 = \frac{0.16 \cdot 1700 \cdot ((54^{3}) - (32^{3}))}{(\frac{3}{2}) \cdot ((54^{2}) - (32^{2}))}

11951.1318N*mm = \frac{0.16 \cdot 1700N \cdot (({54mm}^{3}) - ({32mm}^{3}))}{(\frac{3}{2}) \cdot (({54mm}^{2}) - ({32mm}^{2}))}

11951.1318 = \frac{0.16 \cdot 1700 \cdot ((54^{3}) - (32^{3}))}{(\frac{3}{2}) \cdot ((54^{2}) - (32^{2}))}

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Collar Friction Torque for Screw according to Uniform Pressure Theory Solution

Follow our step by step solution on how to calculate Collar Friction Torque for Screw according to Uniform Pressure Theory?

FIRST Step Consider the formula

T c = \frac{μ collar \cdot W \cdot (({R 1}^{3}) - ({R 2}^{3}))}{(\frac{3}{2}) \cdot (({R 1}^{2}) - ({R 2}^{2}))}

Next Step Substitute values of Variables

∴

T c = \frac{0.16 \cdot 1700N \cdot (({54mm}^{3}) - ({32mm}^{3}))}{(\frac{3}{2}) \cdot (({54mm}^{2}) - ({32mm}^{2}))}

Next Step Convert Units

∴

T c = \frac{0.16 \cdot 1700N \cdot (({0.054m}^{3}) - ({0.032m}^{3}))}{(\frac{3}{2}) \cdot (({0.054m}^{2}) - ({0.032m}^{2}))}

Next Step Prepare to Evaluate

∴

T c = \frac{0.16 \cdot 1700 \cdot (({0.054}^{3}) - ({0.032}^{3}))}{(\frac{3}{2}) \cdot (({0.054}^{2}) - ({0.032}^{2}))}

Next Step Evaluate

∴

T c = 11.9511317829457N*m

Next Step Convert to Output's Unit

∴

T c = 11951.1317829457N*mm

LAST Step Rounding Answer

∴

T c = 11951.1318N*mm

Collar Friction Torque for Screw according to Uniform Pressure Theory Formula Elements

Variables

Collar Friction Torque for Power Screw

Collar Friction Torque for Power Screw is the additional torque required to account for the friction between the Collar and Load of the power screw.

Symbol: T_c

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Collar Friction Torque for Power Screw

Coefficient of Friction for Collar

The Coefficient of Friction for Collar is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_collar

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction for Collar

Load on screw

Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on screw

Outer Radius of Power Screw Collar

Outer Radius of Power Screw Collar is the distance from the center of the collar to the outermost edge of the collar of a power screw.

Symbol: R₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Radius of Power Screw Collar

Inner Radius of Power Screw Collar

Inner Radius of Power Screw Collar is the distance from the center of the collar to the innermost edge of the collar of a power screw.

Symbol: R₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Radius of Power Screw Collar

Other Formulas to find Collar Friction Torque for Power Screw

Go Collar Friction Torque for Screw according to Uniform Wear Theory

T c = μ collar \cdot W \cdot \frac{R 1 + R 2}{2}

Other formulas in Collar Friction category

Go Load on Screw given Collar Friction Torque according to Uniform Pressure Theory

W = \frac{3 \cdot T c \cdot (({D o}^{2}) - ({D i}^{2}))}{μ collar \cdot (({D o}^{3}) - ({D i}^{3}))}

Go Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory

μ collar = \frac{3 \cdot T c \cdot (({D o}^{2}) - ({D i}^{2}))}{W \cdot (({D o}^{3}) - ({D i}^{3}))}

Go Load on Screw given Collar Friction Torque according to Uniform Wear Theory

W = \frac{4 \cdot T c}{μ collar \cdot ((D o) + (D i))}

Go Coefficient of Friction at Collar of Screw according to Uniform Wear Theory

μ collar = \frac{4 \cdot T c}{W \cdot ((D o) + (D i))}

How to Evaluate Collar Friction Torque for Screw according to Uniform Pressure Theory?

Collar Friction Torque for Screw according to Uniform Pressure Theory evaluator uses Collar Friction Torque for Power Screw = (Coefficient of Friction for Collar*Load on screw*((Outer Radius of Power Screw Collar^3)-(Inner Radius of Power Screw Collar^3)))/((3/2)*((Outer Radius of Power Screw Collar^2)-(Inner Radius of Power Screw Collar^2))) to evaluate the Collar Friction Torque for Power Screw, Collar Friction Torque for Screw according to Uniform Pressure Theory is the additional torque required to account for the friction between Collar and Load. Collar Friction Torque for Power Screw is denoted by T_c symbol.

How to evaluate Collar Friction Torque for Screw according to Uniform Pressure Theory using this online evaluator? To use this online evaluator for Collar Friction Torque for Screw according to Uniform Pressure Theory, enter Coefficient of Friction for Collar (μ_collar), Load on screw (W), Outer Radius of Power Screw Collar (R₁) & Inner Radius of Power Screw Collar (R₂) and hit the calculate button.

FAQs on Collar Friction Torque for Screw according to Uniform Pressure Theory

What is the formula to find Collar Friction Torque for Screw according to Uniform Pressure Theory?

The formula of Collar Friction Torque for Screw according to Uniform Pressure Theory is expressed as Collar Friction Torque for Power Screw = (Coefficient of Friction for Collar*Load on screw*((Outer Radius of Power Screw Collar^3)-(Inner Radius of Power Screw Collar^3)))/((3/2)*((Outer Radius of Power Screw Collar^2)-(Inner Radius of Power Screw Collar^2))). Here is an example- 1.2E+7 = (0.16*1700*(0.054^3-0.032^3))/((3/2)*(0.054^2-0.032^2)).

How to calculate Collar Friction Torque for Screw according to Uniform Pressure Theory?

With Coefficient of Friction for Collar (μ_collar), Load on screw (W), Outer Radius of Power Screw Collar (R₁) & Inner Radius of Power Screw Collar (R₂) we can find Collar Friction Torque for Screw according to Uniform Pressure Theory using the formula - Collar Friction Torque for Power Screw = (Coefficient of Friction for Collar*Load on screw*((Outer Radius of Power Screw Collar^3)-(Inner Radius of Power Screw Collar^3)))/((3/2)*((Outer Radius of Power Screw Collar^2)-(Inner Radius of Power Screw Collar^2))).

What are the other ways to Calculate Collar Friction Torque for Power Screw?

Here are the different ways to Calculate Collar Friction Torque for Power Screw-

Collar Friction Torque for Power Screw=Coefficient of Friction for Collar*Load on screw*(Outer Radius of Power Screw Collar+Inner Radius of Power Screw Collar)/2

Can the Collar Friction Torque for Screw according to Uniform Pressure Theory be negative?

No, the Collar Friction Torque for Screw according to Uniform Pressure Theory, measured in Torque cannot be negative.

Which unit is used to measure Collar Friction Torque for Screw according to Uniform Pressure Theory?

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

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Collar Friction Torque for Screw according to Uniform Pressure Theory Formula

​GoCollar Friction Torque for Screw according to Uniform Wear Theory Formula

Collar Friction Torque for Screw according to Uniform Pressure Theory Example

Collar Friction Torque for Screw according to Uniform Pressure Theory Solution

Collar Friction Torque for Screw according to Uniform Pressure Theory Formula Elements

Other Formulas to find Collar Friction Torque for Power Screw

Other formulas in Collar Friction category

How to Evaluate Collar Friction Torque for Screw according to Uniform Pressure Theory?

FAQs on Collar Friction Torque for Screw according to Uniform Pressure Theory

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GoCollar Friction Torque for Screw according to Uniform Wear Theory Formula