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Rotational Speed for Torque Required in Collar Bearing Formula

GoSpeed of Rotation for Shear Force in Journal Bearing Formula

GoRotational Speed considering Power Absorbed and Torque in Journal Bearing Formula

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Mean Speed in RPM is an average of individual vehicle speeds. Check FAQs

N = \frac{τ \cdot t}{μ \cdot π^{2} \cdot ({R 1}^{4} - {R 2}^{4})}

N - Mean Speed in RPM?τ - Torque Exerted on Wheel?t - Thickness of Oil Film?μ - Viscosity of Fluid?R₁ - Outer Radius of Collar?R₂ - Inner Radius of Collar?π - Archimedes' constant?

Rotational Speed for Torque Required in Collar Bearing Example

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Here is how the Rotational Speed for Torque Required in Collar Bearing equation looks like with Values.

Here is how the Rotational Speed for Torque Required in Collar Bearing equation looks like with Units.

Here is how the Rotational Speed for Torque Required in Collar Bearing equation looks like.

1.0172 = \frac{50 \cdot 4.6232}{8.23 \cdot {3.1416}^{2} \cdot ({3.6006}^{4} - {0.68}^{4})}

1.0172rev/min = \frac{50N*m \cdot 4.6232m}{8.23N*s/m² \cdot {3.1416}^{2} \cdot ({3.6006m}^{4} - {0.68m}^{4})}

1.0172 = \frac{50 \cdot 4.6232}{8.23 \cdot {3.1416}^{2} \cdot ({3.6006}^{4} - {0.68}^{4})}

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Rotational Speed for Torque Required in Collar Bearing Solution

Follow our step by step solution on how to calculate Rotational Speed for Torque Required in Collar Bearing?

FIRST Step Consider the formula

N = \frac{τ \cdot t}{μ \cdot π^{2} \cdot ({R 1}^{4} - {R 2}^{4})}

Next Step Substitute values of Variables

∴

N = \frac{50N*m \cdot 4.6232m}{8.23N*s/m² \cdot π^{2} \cdot ({3.6006m}^{4} - {0.68m}^{4})}

Next Step Substitute values of Constants

∴

N = \frac{50N*m \cdot 4.6232m}{8.23N*s/m² \cdot {3.1416}^{2} \cdot ({3.6006m}^{4} - {0.68m}^{4})}

Next Step Convert Units

∴

N = \frac{50N*m \cdot 4.6232m}{8.23Pa*s \cdot {3.1416}^{2} \cdot ({3.6006m}^{4} - {0.68m}^{4})}

Next Step Prepare to Evaluate

∴

N = \frac{50 \cdot 4.6232}{8.23 \cdot {3.1416}^{2} \cdot ({3.6006}^{4} - {0.68}^{4})}

Next Step Evaluate

∴

N = 0.0169540619986278Hz

Next Step Convert to Output's Unit

∴

N = 1.01724371991767rev/min

LAST Step Rounding Answer

∴

N = 1.0172rev/min

Rotational Speed for Torque Required in Collar Bearing Formula Elements

Variables

Constants

Mean Speed in RPM

Mean Speed in RPM is an average of individual vehicle speeds.

Symbol: N

Measurement: FrequencyUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Mean Speed in RPM

Torque Exerted on Wheel

Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Wheel

Thickness of Oil Film

Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Oil Film

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid

Outer Radius of Collar

The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar.

Symbol: R₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Collar

Inner Radius of Collar

The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar.

Symbol: R₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Collar

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Mean Speed in RPM

Go Speed of Rotation for Shear Force in Journal Bearing

N = \frac{F s \cdot t}{μ \cdot π^{2} \cdot {D s}^{2} \cdot L}

Go Rotational Speed considering Power Absorbed and Torque in Journal Bearing

N = \frac{P}{2 \cdot π \cdot τ}

Go Rotational Speed for Torque Required in Foot-Step Bearing

N = \frac{τ \cdot t}{μ \cdot π^{2} \cdot {(\frac{D s}{2})}^{4}}

Go Angular Speed of Outer Cylinder in Rotating Cylinder Method

N = \frac{2 \cdot (r 2 - r 1) \cdot C \cdot τ}{π \cdot {r 1}^{2} \cdot μ \cdot (4 \cdot H i \cdot C \cdot r 2 + {r 1}^{2} \cdot (r 2 - r 1))}

Other formulas in Fluid Flow and Resistance category

Go Shear Stress in Fluid or Oil of Journal Bearing

𝜏 = \frac{π \cdot μ \cdot D s \cdot N}{60 \cdot t}

Go Shear Force or Viscous Resistance in Journal Bearing

F s = \frac{π^{2} \cdot μ \cdot N \cdot L \cdot {D s}^{2}}{t}

Go Discharge in Capillary Tube Method

Q = \frac{4 \cdot π \cdot ρ \cdot [g] \cdot h \cdot {r p}^{4}}{128 \cdot μ \cdot L}

Go Drag Force in Falling Sphere Resistance Method

F D = 3 \cdot π \cdot μ \cdot U \cdot d

How to Evaluate Rotational Speed for Torque Required in Collar Bearing?

Rotational Speed for Torque Required in Collar Bearing evaluator uses Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4)) to evaluate the Mean Speed in RPM, The Rotational speed for torque required in collar bearing formula is known while considering the viscosity of the fluid, the inner and outer radius of the collar, the thickness of the oil film, and the torque required to overcome viscous resistance. Mean Speed in RPM is denoted by N symbol.

How to evaluate Rotational Speed for Torque Required in Collar Bearing using this online evaluator? To use this online evaluator for Rotational Speed for Torque Required in Collar Bearing, enter Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ), Outer Radius of Collar (R₁) & Inner Radius of Collar (R₂) and hit the calculate button.

FAQs on Rotational Speed for Torque Required in Collar Bearing

What is the formula to find Rotational Speed for Torque Required in Collar Bearing?

The formula of Rotational Speed for Torque Required in Collar Bearing is expressed as Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4)). Here is an example- 1258.867 = (49.99999*4.623171)/(8.23*pi^2*(3.600579^4-0.68^4)).

How to calculate Rotational Speed for Torque Required in Collar Bearing?

With Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ), Outer Radius of Collar (R₁) & Inner Radius of Collar (R₂) we can find Rotational Speed for Torque Required in Collar Bearing using the formula - Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Mean Speed in RPM?

Here are the different ways to Calculate Mean Speed in RPM-

Mean Speed in RPM=(Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe)
Mean Speed in RPM=Power Absorbed/(2*pi*Torque Exerted on Wheel)
Mean Speed in RPM=(Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4)

Can the Rotational Speed for Torque Required in Collar Bearing be negative?

No, the Rotational Speed for Torque Required in Collar Bearing, measured in Frequency cannot be negative.

Which unit is used to measure Rotational Speed for Torque Required in Collar Bearing?

Rotational Speed for Torque Required in Collar Bearing is usually measured using the Revolution per Minute[rev/min] for Frequency. Hertz[rev/min], Petahertz[rev/min], Terahertz[rev/min] are the few other units in which Rotational Speed for Torque Required in Collar Bearing can be measured.

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Rotational Speed for Torque Required in Collar Bearing Formula

​GoSpeed of Rotation for Shear Force in Journal Bearing Formula

​GoRotational Speed considering Power Absorbed and Torque in Journal Bearing Formula

Rotational Speed for Torque Required in Collar Bearing Example

Rotational Speed for Torque Required in Collar Bearing Solution

Rotational Speed for Torque Required in Collar Bearing Formula Elements

Other Formulas to find Mean Speed in RPM

Other formulas in Fluid Flow and Resistance category

How to Evaluate Rotational Speed for Torque Required in Collar Bearing?

FAQs on Rotational Speed for Torque Required in Collar Bearing

Variable Name

GoSpeed of Rotation for Shear Force in Journal Bearing Formula

GoRotational Speed considering Power Absorbed and Torque in Journal Bearing Formula