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Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder Formula

GoTorque on Cylinder given Radius, Length and Viscosity Formula

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Torque 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. Check FAQs

T = \frac{μ viscosity \cdot 2 \cdot π \cdot (R^{3}) \cdot ω \cdot L Cylinder}{ℓ fluid}

T - Torque?μ_viscosity - Dynamic Viscosity?R - Radius of Inner Cylinder?ω - Angular Velocity?L_Cylinder - Length of Cylinder?ℓ_fluid - Thickness of Fluid Layer?π - Archimedes' constant?

Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder Example

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Here is how the Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder equation looks like with Values.

Here is how the Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder equation looks like with Units.

Here is how the Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder equation looks like.

12.2927 = \frac{1.02 \cdot 2 \cdot 3.1416 \cdot ({0.06}^{3}) \cdot 33.3 \cdot 0.4}{0.0015}

12.2927N*m = \frac{1.02Pa*s \cdot 2 \cdot 3.1416 \cdot ({0.06m}^{3}) \cdot 33.3rad/s \cdot 0.4m}{0.0015m}

12.2927 = \frac{1.02 \cdot 2 \cdot 3.1416 \cdot ({0.06}^{3}) \cdot 33.3 \cdot 0.4}{0.0015}

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Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder Solution

Follow our step by step solution on how to calculate Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder?

FIRST Step Consider the formula

T = \frac{μ viscosity \cdot 2 \cdot π \cdot (R^{3}) \cdot ω \cdot L Cylinder}{ℓ fluid}

Next Step Substitute values of Variables

∴

T = \frac{1.02Pa*s \cdot 2 \cdot π \cdot ({0.06m}^{3}) \cdot 33.3rad/s \cdot 0.4m}{0.0015m}

Next Step Substitute values of Constants

∴

T = \frac{1.02Pa*s \cdot 2 \cdot 3.1416 \cdot ({0.06m}^{3}) \cdot 33.3rad/s \cdot 0.4m}{0.0015m}

Next Step Prepare to Evaluate

∴

T = \frac{1.02 \cdot 2 \cdot 3.1416 \cdot ({0.06}^{3}) \cdot 33.3 \cdot 0.4}{0.0015}

Next Step Evaluate

∴

T = 12.2926851154749N*m

LAST Step Rounding Answer

∴

T = 12.2927N*m

Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder Formula Elements

Variables

Constants

Torque

Torque 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: T

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Torque

Dynamic Viscosity

Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Radius of Inner Cylinder

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

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Inner Cylinder

Angular Velocity

Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Length of Cylinder

Length of cylinder is the vertical height of the cylinder.

Symbol: L_Cylinder

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Cylinder

Thickness of Fluid Layer

Thickness of Fluid Layer is defined as the thickness of the layer of fluid of which viscosity needs to be calculated.

Symbol: ℓ_fluid

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Thickness of Fluid Layer

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 Torque

Go Torque on Cylinder given Radius, Length and Viscosity

T = \frac{μ viscosity \cdot 4 \cdot (π^{2}) \cdot (R^{3}) \cdot ṅ \cdot L Cylinder}{ℓ fluid}

Other formulas in Properties of Fluids category

Go Specific Volume of Fluid given Mass

v = \frac{V T}{m}

Go Specific Total Energy

e = \frac{E}{m}

Go Specific Volume given Density

v = \frac{1}{ρ}

Go Density of Fluid

ρ = \frac{m}{V T}

How to Evaluate Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder?

Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder evaluator uses Torque = (Dynamic Viscosity*2*pi*(Radius of Inner Cylinder^3)*Angular Velocity*Length of Cylinder)/(Thickness of Fluid Layer) to evaluate the Torque, The Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder formula is defined as the function of dynamic viscosity, radius of inner cylinder, angular velocity, length of cylinder and thickness of fluid layer. In one-dimensional shear flow of Newtonian fluids, shear stress can be expressed by the linear relationship where the constant of proportionality 𝜇 is called the coefficient of viscosity or the dynamic (or absolute) viscosity of the fluid. The rate of deformation (velocity gradient) of a Newtonian fluid is proportional to shear stress, and the constant of proportionality is the viscosity. Torque is denoted by T symbol.

How to evaluate Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder using this online evaluator? To use this online evaluator for Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder, enter Dynamic Viscosity (μ_viscosity), Radius of Inner Cylinder (R), Angular Velocity (ω), Length of Cylinder (L_Cylinder) & Thickness of Fluid Layer (ℓ_fluid) and hit the calculate button.

FAQs on Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder

What is the formula to find Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder?

The formula of Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder is expressed as Torque = (Dynamic Viscosity*2*pi*(Radius of Inner Cylinder^3)*Angular Velocity*Length of Cylinder)/(Thickness of Fluid Layer). Here is an example- 12.29269 = (1.02*2*pi*(0.06^3)*33.3*0.4)/(0.0015).

How to calculate Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder?

With Dynamic Viscosity (μ_viscosity), Radius of Inner Cylinder (R), Angular Velocity (ω), Length of Cylinder (L_Cylinder) & Thickness of Fluid Layer (ℓ_fluid) we can find Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder using the formula - Torque = (Dynamic Viscosity*2*pi*(Radius of Inner Cylinder^3)*Angular Velocity*Length of Cylinder)/(Thickness of Fluid Layer). This formula also uses Archimedes' constant .

What are the other ways to Calculate Torque?

Here are the different ways to Calculate Torque-

Torque=(Dynamic Viscosity*4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)/(Thickness of Fluid Layer)

Can the Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder be negative?

Yes, the Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder, measured in Torque can be negative.

Which unit is used to measure Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder?

Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder 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 Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder can be measured.

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Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder Formula

​GoTorque on Cylinder given Radius, Length and Viscosity Formula

Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder Example

Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder Solution

Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder Formula Elements

Other Formulas to find Torque

Other formulas in Properties of Fluids category

How to Evaluate Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder?

FAQs on Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder

Variable Name

GoTorque on Cylinder given Radius, Length and Viscosity Formula