Clearance given Torque exerted on Outer Cylinder Calculator

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Angular Speed refers to the rate of change of angular displacement.ⓘ Angular Speed [Ω]			+10% -10%
✖The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement.ⓘ Radius of Inner Cylinder [r₁]			+10% -10%
✖The Torque on Outer Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.ⓘ Torque on Outer Cylinder [T_o]			+10% -10%

✖The Clearance refers to the gap or space between two surfaces adjacent to each other.ⓘ Clearance given Torque exerted on Outer Cylinder [C]

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Clearance given Torque exerted on Outer Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Clearance = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Torque on Outer Cylinder)
C = μ*pi*pi*Ω*(r₁^4)/(60*T_o)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Clearance - (Measured in Meter) - The Clearance refers to the gap or space between two surfaces adjacent to each other.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Angular Speed - (Measured in Radian per Second) - The Angular Speed refers to the rate of change of angular displacement.
Radius of Inner Cylinder - (Measured in Meter) - The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement.
Torque on Outer Cylinder - (Measured in Newton Meter) - The Torque on Outer Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Angular Speed: 5 Revolution per Second --> 31.4159265342981 Radian per Second (Check conversion here)
Radius of Inner Cylinder: 12 Meter --> 12 Meter No Conversion Required
Torque on Outer Cylinder: 7000 Kilonewton Meter --> 7000000 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = μ*pi*pi*Ω*(r₁^4)/(60*T_o) --> 1.02*pi*pi*31.4159265342981*(12^4)/(60*7000000)

Evaluating ... ...

C = 0.0156144065779561

STEP 3: Convert Result to Output's Unit

0.0156144065779561 Meter -->15.6144065779561 Millimeter (Check conversion here)

FINAL ANSWER

15.6144065779561 ≈ 15.61441 Millimeter <-- Clearance

(Calculation completed in 00.008 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Coaxial Cylinder Viscometers Calculators

Radius of Inner Cylinder given Torque exerted on Inner Cylinder

LaTeX Go Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height of Cylinder*Shear Stress))

Shear Stress on Cylinder given Torque exerted on Inner Cylinder

LaTeX Go Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height of Cylinder)

Height of Cylinder given Torque exerted on Inner Cylinder

LaTeX Go Height of Cylinder = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress)

Torque exerted on Inner Cylinder

LaTeX Go Total Torque = 2*((Radius of Inner Cylinder)^2)*Height of Cylinder*Shear Stress

Clearance given Torque exerted on Outer Cylinder Formula

LaTeX Go

Clearance = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Torque on Outer Cylinder)
C = μ*pi*pi*Ω*(r₁^4)/(60*T_o)

What is Clearance?

The gap or lack of it between the hole and shaft is called the clearance. Clearance is determined by the size difference between the parts. Fits and tolerances are used to specify the size range of parts.

How to Calculate Clearance given Torque exerted on Outer Cylinder?

Clearance given Torque exerted on Outer Cylinder calculator uses Clearance = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Torque on Outer Cylinder) to calculate the Clearance, The Clearance given Torque exerted on Outer Cylinder formula is defined as the gap between inner and outer cylinder. Clearance is denoted by C symbol.

How to calculate Clearance given Torque exerted on Outer Cylinder using this online calculator? To use this online calculator for Clearance given Torque exerted on Outer Cylinder, enter Dynamic Viscosity (μ), Angular Speed (Ω), Radius of Inner Cylinder (r₁) & Torque on Outer Cylinder (T_o) and hit the calculate button. Here is how the Clearance given Torque exerted on Outer Cylinder calculation can be explained with given input values -> 15614.41 = 1.02*pi*pi*31.4159265342981*(12^4)/(60*7000000).

FAQ

What is Clearance given Torque exerted on Outer Cylinder?

The Clearance given Torque exerted on Outer Cylinder formula is defined as the gap between inner and outer cylinder and is represented as C = μ*pi*pi*Ω*(r₁^4)/(60*T_o) or Clearance = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Torque on Outer Cylinder). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Angular Speed refers to the rate of change of angular displacement, The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement & The Torque on Outer Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.

How to calculate Clearance given Torque exerted on Outer Cylinder?

The Clearance given Torque exerted on Outer Cylinder formula is defined as the gap between inner and outer cylinder is calculated using Clearance = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Torque on Outer Cylinder). To calculate Clearance given Torque exerted on Outer Cylinder, you need Dynamic Viscosity (μ), Angular Speed (Ω), Radius of Inner Cylinder (r₁) & Torque on Outer Cylinder (T_o). With our tool, you need to enter the respective value for Dynamic Viscosity, Angular Speed, Radius of Inner Cylinder & Torque on Outer Cylinder 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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