Torque given Thickness of Oil Calculator

✖Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external shear force is applied.ⓘ Dynamic Viscosity of Fluid [μ]			+10% -10%
✖The 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.ⓘ Angular Velocity [ω]			+10% -10%
✖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.ⓘ Outer Radius of Disc [r_o]			+10% -10%
✖The inner radius of disc refers to the distance from the center of the disc to the inner surface of the circular base or top of the disc.ⓘ Inner Radius of disc [r_i]			+10% -10%
✖Thickness of oil is refers to the height of the oil on which the shaft is submerged.ⓘ Thickness of Oil [h]			+10% -10%
✖Tilt Angle can be referred as the angle the disc makes with respect to horizontal axis.ⓘ Tilt Angle [θ]			+10% -10%

✖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. It is characterized by T.ⓘ Torque given Thickness of Oil [T_d]

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Formula

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Torque given Thickness of Oil

Formula

`"T"_{"d"} = (pi*"μ"_{""}*"ω"*("r"_{"o"}^4-"r"_{"i"}^4))/(2*"h"*sin("θ"))`

Example

`"19.50552N*m"=(pi*"0.0796Pa*s"*"2rad/s"*(("7m")^4-("4m")^4))/(2*"55m"*sin("30°"))`

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Torque given Thickness of Oil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque Exerted on Disc = (pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius of Disc^4-Inner Radius of disc^4))/(2*Thickness of Oil*sin(Tilt Angle))
T_d = (pi*μ*ω*(r_o^4-r_i^4))/(2*h*sin(θ))
This formula uses 1 Constants, 1 Functions, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sin(Angle)

Variables Used

Torque Exerted on Disc - (Measured in Newton Meter) - 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. It is characterized by T.
Dynamic Viscosity of Fluid - (Measured in Pascal Second) - Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external shear force is applied.
Angular Velocity - (Measured in Radian per Second) - The 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.
Outer Radius of Disc - (Measured in Meter) - 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.
Inner Radius of disc - (Measured in Meter) - The inner radius of disc refers to the distance from the center of the disc to the inner surface of the circular base or top of the disc.
Thickness of Oil - (Measured in Meter) - Thickness of oil is refers to the height of the oil on which the shaft is submerged.
Tilt Angle - (Measured in Radian) - Tilt Angle can be referred as the angle the disc makes with respect to horizontal axis.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity of Fluid: 0.0796 Pascal Second --> 0.0796 Pascal Second No Conversion Required
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Outer Radius of Disc: 7 Meter --> 7 Meter No Conversion Required
Inner Radius of disc: 4 Meter --> 4 Meter No Conversion Required
Thickness of Oil: 55 Meter --> 55 Meter No Conversion Required
Tilt Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_d = (pi*μ*ω*(r_o^4-r_i^4))/(2*h*sin(θ)) --> (pi*0.0796*2*(7^4-4^4))/(2*55*sin(0.5235987755982))

Evaluating ... ...

T_d = 19.5055204676083

STEP 3: Convert Result to Output's Unit

19.5055204676083 Newton Meter --> No Conversion Required

FINAL ANSWER

19.5055204676083 ≈ 19.50552 Newton Meter <-- Torque Exerted on Disc

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Fluid Force » Applications of Fluid Force » Torque given Thickness of Oil

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< 9 Applications of Fluid Force Calculators

Torque given Thickness of Oil

Go Torque Exerted on Disc = (pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius of Disc^4-Inner Radius of disc^4))/(2*Thickness of Oil*sin(Tilt Angle))

Dynamic Viscosity of Gases

Go Dynamic Viscosity of Fluid = (Sutherland Experimental Constant 'a'*Absolute Temperature of Fluid^(1/2))/(1+Sutherland Experimental Constant 'b'/Absolute Temperature of Fluid)

Shear Stress using Dynamic Viscosity of Fluid

Go Shear Stress on Lower Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate)/(Distance Between Plates Carrying Fluid)

Dynamic Viscosity of Fluids

Go Dynamic Viscosity of Fluid = (Shear Stress on Lower Surface*Distance Between Plates Carrying Fluid)/Velocity of Moving Plate

Distance between Plates given Dynamic Viscosity of Fluid

Go Distance Between Plates Carrying Fluid = Dynamic Viscosity of Fluid*Velocity of Moving Plate/Shear Stress on Lower Surface

Dynamic Viscosity of Liquids

Go Dynamic Viscosity of Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Absolute Temperature of Fluid))

Total Surface Area of Object Submerged in Liquid

Go Surface Area of the Object = Hydrostatic Force/(Specific Weight of the Fluid*Vertical Distance from Centroid)

Total Hydrostatic Force

Go Hydrostatic Force = Specific Weight of the Fluid*Vertical Distance from Centroid*Surface Area of the Object

Friction Factor given Frictional Velocity

Go Darcy's Friction Factor = 8*(Friction Velocity/Mean Velocity)^2

Torque given Thickness of Oil Formula

How do you define Torque?

Torque is the twisting force that causes an object to spin around an axis, like a lever. Imagine it as the rotational equivalent of a push or pull – the greater the force and its distance from the pivot point, the stronger the twisting effect.

What is Dynamic Viscosity?

Dynamic viscosity, often simply referred to as viscosity, is a fundamental property of fluids that describes their resistance to flow when subjected to an applied force or shear stress. It is a measure of the internal friction within a fluid as it moves, and it quantifies how easily the fluid can be deformed or sheared.
Materials with high dynamic viscosity flow sluggishly, while those with low dynamic viscosity flow more readily. For example, honey has a higher dynamic viscosity compared to water, which is why honey flows more slowly than water.

How to Calculate Torque given Thickness of Oil?

Torque given Thickness of Oil calculator uses Torque Exerted on Disc = (pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius of Disc^4-Inner Radius of disc^4))/(2*Thickness of Oil*sin(Tilt Angle)) to calculate the Torque Exerted on Disc, Torque given Thickness of Oil calculates the amount of Torque required to rotate a hollow disc with a tilt angle θ with respect to horizontal axis, immersed in fluid. When dynamic viscosity increases the amount of torque required to rotate the disc also increases. Torque Exerted on Disc is denoted by T_d symbol.

How to calculate Torque given Thickness of Oil using this online calculator? To use this online calculator for Torque given Thickness of Oil, enter Dynamic Viscosity of 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. Here is how the Torque given Thickness of Oil calculation can be explained with given input values -> 19.50552 = (pi*0.0796*2*(7^4-4^4))/(2*55*sin(0.5235987755982)).

FAQ

What is Torque given Thickness of Oil?

Torque given Thickness of Oil calculates the amount of Torque required to rotate a hollow disc with a tilt angle θ with respect to horizontal axis, immersed in fluid. When dynamic viscosity increases the amount of torque required to rotate the disc also increases and is represented as T_d = (pi*μ*ω*(r_o^4-r_i^4))/(2*h*sin(θ)) or Torque Exerted on Disc = (pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius of Disc^4-Inner Radius of disc^4))/(2*Thickness of Oil*sin(Tilt Angle)). Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external shear force is applied, The 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, 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, The inner radius of disc refers to the distance from the center of the disc to the inner surface of the circular base or top of the disc, Thickness of oil is refers to the height of the oil on which the shaft is submerged & Tilt Angle can be referred as the angle the disc makes with respect to horizontal axis.

How to calculate Torque given Thickness of Oil?

Torque given Thickness of Oil calculates the amount of Torque required to rotate a hollow disc with a tilt angle θ with respect to horizontal axis, immersed in fluid. When dynamic viscosity increases the amount of torque required to rotate the disc also increases is calculated using Torque Exerted on Disc = (pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius of Disc^4-Inner Radius of disc^4))/(2*Thickness of Oil*sin(Tilt Angle)). To calculate Torque given Thickness of Oil, you need Dynamic Viscosity of Fluid (μ), Angular Velocity (ω), Outer Radius of Disc (r_o), Inner Radius of disc (r_i), Thickness of Oil (h) & Tilt Angle (θ). With our tool, you need to enter the respective value for Dynamic Viscosity of Fluid, Angular Velocity, Outer Radius of Disc, Inner Radius of disc, Thickness of Oil & Tilt Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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