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Torque given Thickness of Oil Formula

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Torque exerted on disc is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. Check FAQs

T d = \frac{π \cdot μ \cdot ω \cdot ({r o}^{4} - {r i}^{4})}{2 \cdot h \cdot \sin (θ)}

T_d - Torque Exerted on Disc?μ - Dynamic Viscosity Fluid?ω - Angular Velocity?r_o - Outer Radius of Disc?r_i - Inner Radius of Disc?h - Thickness of Oil?θ - Tilt Angle?π - Archimedes' constant?

Torque given Thickness of Oil Example

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Here is how the Torque given Thickness of Oil equation looks like with Values.

Here is how the Torque given Thickness of Oil equation looks like with Units.

Here is how the Torque given Thickness of Oil equation looks like.

19.5055 = \frac{3.1416 \cdot 0.0796 \cdot 2 \cdot (7^{4} - 4^{4})}{2 \cdot 55 \cdot \sin (30)}

19.5055N*m = \frac{3.1416 \cdot 0.0796Pa*s \cdot 2rad/s \cdot ({7m}^{4} - {4m}^{4})}{2 \cdot 55m \cdot \sin (30°)}

19.5055 = \frac{3.1416 \cdot 0.0796 \cdot 2 \cdot (7^{4} - 4^{4})}{2 \cdot 55 \cdot \sin (30)}

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Torque given Thickness of Oil Solution

Follow our step by step solution on how to calculate Torque given Thickness of Oil?

FIRST Step Consider the formula

T d = \frac{π \cdot μ \cdot ω \cdot ({r o}^{4} - {r i}^{4})}{2 \cdot h \cdot \sin (θ)}

Next Step Substitute values of Variables

∴

T d = \frac{π \cdot 0.0796Pa*s \cdot 2rad/s \cdot ({7m}^{4} - {4m}^{4})}{2 \cdot 55m \cdot \sin (30°)}

Next Step Substitute values of Constants

∴

T d = \frac{3.1416 \cdot 0.0796Pa*s \cdot 2rad/s \cdot ({7m}^{4} - {4m}^{4})}{2 \cdot 55m \cdot \sin (30°)}

Next Step Convert Units

∴

T d = \frac{3.1416 \cdot 0.0796Pa*s \cdot 2rad/s \cdot ({7m}^{4} - {4m}^{4})}{2 \cdot 55m \cdot \sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

T d = \frac{3.1416 \cdot 0.0796 \cdot 2 \cdot (7^{4} - 4^{4})}{2 \cdot 55 \cdot \sin (0.5236)}

Next Step Evaluate

∴

T d = 19.5055204676083N*m

LAST Step Rounding Answer

∴

T d = 19.5055N*m

Torque given Thickness of Oil Formula Elements

Variables

Constants

Functions

Torque Exerted on Disc

Torque exerted on disc is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force.

Symbol: T_d

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Disc

Dynamic Viscosity Fluid

Dynamic Viscosity Fluid is the measure of fluid's resistance to flow when an external shear force is applied between the layers of fluid.

Symbol: μ

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity Fluid

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 should be greater than 0.

Formulas to find Angular Velocity

Outer Radius of Disc

The outer radius of disc refers to the distance from the center of the disc to the outer edge or circumference of its circular base.

Symbol: r_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Disc

Inner Radius of Disc

The inner radius of disc refers to the distance measured from the center of the disc to the inner surface of the circular base or top of the disc.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Disc

Thickness of Oil

Thickness of oil is refers to the vertical distance of the oil measured from the base to the upper layer of oil, on which the shaft is submerged.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Oil

Tilt Angle

Tilt Angle can be referred as the angle the disc makes with respect to horizontal axis.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Tilt Angle

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Applications of Fluid Force category

Go Dynamic Viscosity of Fluids

μ = \frac{𝜏 \cdot y}{u}

Go Dynamic Viscosity of Gases

μ = \frac{a \cdot T^{\frac{1}{2}}}{1 + \frac{b}{T}}

How to Evaluate Torque given Thickness of Oil?

Torque given Thickness of Oil evaluator uses Torque Exerted on Disc = (pi*Dynamic Viscosity Fluid*Angular Velocity*(Outer Radius of Disc^4-Inner Radius of Disc^4))/(2*Thickness of Oil*sin(Tilt Angle)) to evaluate the Torque Exerted on Disc, Torque given Thickness of Oil formula is defined as a measure of rotational force that occurs in a fluid due to the viscosity of the oil, which depends on the thickness of the oil, angular velocity, and radius of the rotating shaft. Torque Exerted on Disc is denoted by T_d symbol.

How to evaluate Torque given Thickness of Oil using this online evaluator? To use this online evaluator for Torque given Thickness of Oil, enter Dynamic Viscosity Fluid (μ), Angular Velocity (ω), Outer Radius of Disc (r_o), Inner Radius of Disc (r_i), Thickness of Oil (h) & Tilt Angle (θ) and hit the calculate button.

FAQs on Torque given Thickness of Oil

What is the formula to find Torque given Thickness of Oil?

The formula of Torque given Thickness of Oil is expressed as Torque Exerted on Disc = (pi*Dynamic Viscosity Fluid*Angular Velocity*(Outer Radius of Disc^4-Inner Radius of Disc^4))/(2*Thickness of Oil*sin(Tilt Angle)). Here is an example- 19.50552 = (pi*0.0796*2*(7^4-4^4))/(2*55*sin(0.5235987755982)).

How to calculate Torque given Thickness of Oil?

With Dynamic Viscosity Fluid (μ), Angular Velocity (ω), Outer Radius of Disc (r_o), Inner Radius of Disc (r_i), Thickness of Oil (h) & Tilt Angle (θ) we can find Torque given Thickness of Oil using the formula - Torque Exerted on Disc = (pi*Dynamic Viscosity Fluid*Angular Velocity*(Outer Radius of Disc^4-Inner Radius of Disc^4))/(2*Thickness of Oil*sin(Tilt Angle)). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Torque given Thickness of Oil be negative?

No, the Torque given Thickness of Oil, measured in Torque cannot be negative.

Which unit is used to measure Torque given Thickness of Oil?

Torque given Thickness of Oil 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 given Thickness of Oil can be measured.

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Torque given Thickness of Oil Formula

Torque given Thickness of Oil Example

Torque given Thickness of Oil Solution

Torque given Thickness of Oil Formula Elements

Other formulas in Applications of Fluid Force category

How to Evaluate Torque given Thickness of Oil?

FAQs on Torque given Thickness of Oil

Variable Name