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Angular Speed of Outer Cylinder in Rotating Cylinder Method 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{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))}

N - Mean Speed in RPM?r₂ - Outer Radius of Cylinder?r₁ - Inner Radius of Cylinder?C - Clearance?τ - Torque Exerted on Wheel?μ - Viscosity of Fluid?H_i - Initial Height of Liquid?π - Archimedes' constant?

Angular Speed of Outer Cylinder in Rotating Cylinder Method Example

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Here is how the Angular Speed of Outer Cylinder in Rotating Cylinder Method equation looks like with Values.

Here is how the Angular Speed of Outer Cylinder in Rotating Cylinder Method equation looks like with Units.

Here is how the Angular Speed of Outer Cylinder in Rotating Cylinder Method equation looks like.

1.0691 = \frac{2 \cdot (12.51 - 1.52) \cdot 0.95 \cdot 50}{3.1416 \cdot {1.52}^{2} \cdot 8.23 \cdot (4 \cdot 20.1 \cdot 0.95 \cdot 12.51 + {1.52}^{2} \cdot (12.51 - 1.52))}

1.0691rev/min = \frac{2 \cdot (12.51m - 1.52m) \cdot 0.95m \cdot 50N*m}{3.1416 \cdot {1.52m}^{2} \cdot 8.23N*s/m² \cdot (4 \cdot 20.1m \cdot 0.95m \cdot 12.51m + {1.52m}^{2} \cdot (12.51m - 1.52m))}

1.0691 = \frac{2 \cdot (12.51 - 1.52) \cdot 0.95 \cdot 50}{3.1416 \cdot {1.52}^{2} \cdot 8.23 \cdot (4 \cdot 20.1 \cdot 0.95 \cdot 12.51 + {1.52}^{2} \cdot (12.51 - 1.52))}

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Angular Speed of Outer Cylinder in Rotating Cylinder Method Solution

Follow our step by step solution on how to calculate Angular Speed of Outer Cylinder in Rotating Cylinder Method?

FIRST Step Consider the formula

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))}

Next Step Substitute values of Variables

∴

N = \frac{2 \cdot (12.51m - 1.52m) \cdot 0.95m \cdot 50N*m}{π \cdot {1.52m}^{2} \cdot 8.23N*s/m² \cdot (4 \cdot 20.1m \cdot 0.95m \cdot 12.51m + {1.52m}^{2} \cdot (12.51m - 1.52m))}

Next Step Substitute values of Constants

∴

N = \frac{2 \cdot (12.51m - 1.52m) \cdot 0.95m \cdot 50N*m}{3.1416 \cdot {1.52m}^{2} \cdot 8.23N*s/m² \cdot (4 \cdot 20.1m \cdot 0.95m \cdot 12.51m + {1.52m}^{2} \cdot (12.51m - 1.52m))}

Next Step Convert Units

∴

N = \frac{2 \cdot (12.51m - 1.52m) \cdot 0.95m \cdot 50N*m}{3.1416 \cdot {1.52m}^{2} \cdot 8.23Pa*s \cdot (4 \cdot 20.1m \cdot 0.95m \cdot 12.51m + {1.52m}^{2} \cdot (12.51m - 1.52m))}

Next Step Prepare to Evaluate

∴

N = \frac{2 \cdot (12.51 - 1.52) \cdot 0.95 \cdot 50}{3.1416 \cdot {1.52}^{2} \cdot 8.23 \cdot (4 \cdot 20.1 \cdot 0.95 \cdot 12.51 + {1.52}^{2} \cdot (12.51 - 1.52))}

Next Step Evaluate

∴

N = 0.0178179336041858Hz

Next Step Convert to Output's Unit

∴

N = 1.06907601625115rev/min

LAST Step Rounding Answer

∴

N = 1.0691rev/min

Angular Speed of Outer Cylinder in Rotating Cylinder Method 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

Outer Radius of Cylinder

The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Cylinder

Inner Radius of Cylinder

The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Cylinder

Clearance

Clearance or gap is the distance between two surfaces adjacent to each other.

Symbol: C

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Clearance

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

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

Initial Height of Liquid

The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Height of Liquid

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}

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}

How to Evaluate Angular Speed of Outer Cylinder in Rotating Cylinder Method?

Angular Speed of Outer Cylinder in Rotating Cylinder Method evaluator uses Mean Speed in RPM = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Viscosity of Fluid*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder))) to evaluate the Mean Speed in RPM, Angular Speed of Outer Cylinder in Rotating Cylinder Method, the angular speed of the outer cylinder is the rate at which the outer cylinder rotates. It is used to calculate the shear rate and determine the viscosity of the fluid based on the resistance encountered by the fluid as the cylinder rotates. Mean Speed in RPM is denoted by N symbol.

How to evaluate Angular Speed of Outer Cylinder in Rotating Cylinder Method using this online evaluator? To use this online evaluator for Angular Speed of Outer Cylinder in Rotating Cylinder Method, enter Outer Radius of Cylinder (r₂), Inner Radius of Cylinder (r₁), Clearance (C), Torque Exerted on Wheel (τ), Viscosity of Fluid (μ) & Initial Height of Liquid (H_i) and hit the calculate button.

FAQs on Angular Speed of Outer Cylinder in Rotating Cylinder Method

What is the formula to find Angular Speed of Outer Cylinder in Rotating Cylinder Method?

The formula of Angular Speed of Outer Cylinder in Rotating Cylinder Method is expressed as Mean Speed in RPM = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Viscosity of Fluid*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder))). Here is an example- 64.14457 = (2*(12.51-1.52)*0.95*49.99999)/(pi*1.52^2*8.23*(4*20.1*0.95*12.51+1.52^2*(12.51-1.52))).

How to calculate Angular Speed of Outer Cylinder in Rotating Cylinder Method?

With Outer Radius of Cylinder (r₂), Inner Radius of Cylinder (r₁), Clearance (C), Torque Exerted on Wheel (τ), Viscosity of Fluid (μ) & Initial Height of Liquid (H_i) we can find Angular Speed of Outer Cylinder in Rotating Cylinder Method using the formula - Mean Speed in RPM = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Viscosity of Fluid*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder))). 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 Angular Speed of Outer Cylinder in Rotating Cylinder Method be negative?

No, the Angular Speed of Outer Cylinder in Rotating Cylinder Method, measured in Frequency cannot be negative.

Which unit is used to measure Angular Speed of Outer Cylinder in Rotating Cylinder Method?

Angular Speed of Outer Cylinder in Rotating Cylinder Method 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 Angular Speed of Outer Cylinder in Rotating Cylinder Method can be measured.

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Angular Speed of Outer Cylinder in Rotating Cylinder Method Formula

​GoSpeed of Rotation for Shear Force in Journal Bearing Formula

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

Angular Speed of Outer Cylinder in Rotating Cylinder Method Example

Angular Speed of Outer Cylinder in Rotating Cylinder Method Solution

Angular Speed of Outer Cylinder in Rotating Cylinder Method Formula Elements

Other Formulas to find Mean Speed in RPM

Other formulas in Fluid Flow and Resistance category

How to Evaluate Angular Speed of Outer Cylinder in Rotating Cylinder Method?

FAQs on Angular Speed of Outer Cylinder in Rotating Cylinder Method

Variable Name

GoSpeed of Rotation for Shear Force in Journal Bearing Formula

GoRotational Speed considering Power Absorbed and Torque in Journal Bearing Formula