Total Torque Measured by Strain in Rotating Cylinder Method Calculator

✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.ⓘ Inner Radius of Cylinder [r₁]			+10% -10%
✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Mean Speed in RPM [N]			+10% -10%
✖The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Initial Height of Liquid [H_i]			+10% -10%
✖Clearance or gap is the distance between two surfaces adjacent to each other.ⓘ Clearance [C]			+10% -10%
✖The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.ⓘ Outer Radius of Cylinder [r₂]			+10% -10%

✖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.ⓘ Total Torque Measured by Strain in Rotating Cylinder Method [τ]

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Total Torque Measured by Strain in Rotating Cylinder Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque Exerted on Wheel = (Viscosity of Fluid*pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+(Inner Radius of Cylinder^2)*(Outer Radius of Cylinder-Inner Radius of Cylinder)))/(2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance)
τ = (μ*pi*r₁^2*N*(4*H_i*C*r₂+(r₁^2)*(r₂-r₁)))/(2*(r₂-r₁)*C)
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Torque Exerted on Wheel - (Measured in Newton Meter) - 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.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Inner Radius of Cylinder - (Measured in Meter) - The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.
Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.
Initial Height of Liquid - (Measured in Meter) - The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.
Clearance - (Measured in Meter) - Clearance or gap is the distance between two surfaces adjacent to each other.
Outer Radius of Cylinder - (Measured in Meter) - The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Inner Radius of Cylinder: 1.52 Meter --> 1.52 Meter No Conversion Required
Mean Speed in RPM: 1.069076 Revolution per Minute --> 0.0178179333333333 Hertz (Check conversion here)
Initial Height of Liquid: 20.1 Meter --> 20.1 Meter No Conversion Required
Clearance: 0.95 Meter --> 0.95 Meter No Conversion Required
Outer Radius of Cylinder: 12.51 Meter --> 12.51 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (μ*pi*r₁^2*N*(4*H_i*C*r₂+(r₁^2)*(r₂-r₁)))/(2*(r₂-r₁)*C) --> (8.23*pi*1.52^2*0.0178179333333333*(4*20.1*0.95*12.51+(1.52^2)*(12.51-1.52)))/(2*(12.51-1.52)*0.95)

Evaluating ... ...

τ = 49.9999892399442

STEP 3: Convert Result to Output's Unit

49.9999892399442 Newton Meter --> No Conversion Required

FINAL ANSWER

49.9999892399442 ≈ 49.99999 Newton Meter <-- Torque Exerted on Wheel

(Calculation completed in 00.020 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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Total Torque Measured by Strain in Rotating Cylinder Method Formula

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What is rotating cylinder method?

A method of measuring the viscosity of a fluid in which the fluid fills the space between two concentric cylinders and the torque on the stationary inner cylinder is measured when the outer cylinder is rotated at a constant speed.

What causes viscosity in fluids?

Viscosity is caused by friction within a fluid. It is the result of intermolecular forces between particles within a fluid.

How to Calculate Total Torque Measured by Strain in Rotating Cylinder Method?

Total Torque Measured by Strain in Rotating Cylinder Method calculator uses Torque Exerted on Wheel = (Viscosity of Fluid*pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+(Inner Radius of Cylinder^2)*(Outer Radius of Cylinder-Inner Radius of Cylinder)))/(2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance) to calculate the Torque Exerted on Wheel, The Total torque measured by strain in rotating cylinder method formula is known while considering the inner and outer radius of the cylinder, viscosity of fluid or oil, clearance at the bottom of the cylinder, and the height of the liquid. Torque Exerted on Wheel is denoted by τ symbol.

How to calculate Total Torque Measured by Strain in Rotating Cylinder Method using this online calculator? To use this online calculator for Total Torque Measured by Strain in Rotating Cylinder Method, enter Viscosity of Fluid (μ), Inner Radius of Cylinder (r₁), Mean Speed in RPM (N), Initial Height of Liquid (H_i), Clearance (C) & Outer Radius of Cylinder (r₂) and hit the calculate button. Here is how the Total Torque Measured by Strain in Rotating Cylinder Method calculation can be explained with given input values -> 49.99999 = (8.23*pi*1.52^2*0.0178179333333333*(4*20.1*0.95*12.51+(1.52^2)*(12.51-1.52)))/(2*(12.51-1.52)*0.95).

FAQ

What is Total Torque Measured by Strain in Rotating Cylinder Method?

The Total torque measured by strain in rotating cylinder method formula is known while considering the inner and outer radius of the cylinder, viscosity of fluid or oil, clearance at the bottom of the cylinder, and the height of the liquid and is represented as τ = (μ*pi*r₁^2*N*(4*H_i*C*r₂+(r₁^2)*(r₂-r₁)))/(2*(r₂-r₁)*C) or Torque Exerted on Wheel = (Viscosity of Fluid*pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+(Inner Radius of Cylinder^2)*(Outer Radius of Cylinder-Inner Radius of Cylinder)))/(2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance). The Viscosity of fluid is a measure of its resistance to deformation at a given rate, The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder, Mean Speed in RPM is an average of individual vehicle speeds, The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom, Clearance or gap is the distance between two surfaces adjacent to each other & The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.

How to calculate Total Torque Measured by Strain in Rotating Cylinder Method?

The Total torque measured by strain in rotating cylinder method formula is known while considering the inner and outer radius of the cylinder, viscosity of fluid or oil, clearance at the bottom of the cylinder, and the height of the liquid is calculated using Torque Exerted on Wheel = (Viscosity of Fluid*pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+(Inner Radius of Cylinder^2)*(Outer Radius of Cylinder-Inner Radius of Cylinder)))/(2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance). To calculate Total Torque Measured by Strain in Rotating Cylinder Method, you need Viscosity of Fluid (μ), Inner Radius of Cylinder (r₁), Mean Speed in RPM (N), Initial Height of Liquid (H_i), Clearance (C) & Outer Radius of Cylinder (r₂). With our tool, you need to enter the respective value for Viscosity of Fluid, Inner Radius of Cylinder, Mean Speed in RPM, Initial Height of Liquid, Clearance & Outer Radius of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Torque Exerted on Wheel?

In this formula, Torque Exerted on Wheel uses Viscosity of Fluid, Inner Radius of Cylinder, Mean Speed in RPM, Initial Height of Liquid, Clearance & Outer Radius of Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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