Height of Cylinder given Torque exerted on Inner Cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress)
h = T/(2*pi*((r1)^2)*๐œ)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Height - (Measured in Meter) - Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.
Torque on Inner Cylinder - (Measured in Newton Meter) - Torque on Inner Cylinder is torque on cylinder from the external shaft.
Radius of Inner Cylinder - (Measured in Meter) - Radius of Inner Cylinder is the distance from center to inner cylinder's surface, crucial for viscosity measurement.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
STEP 1: Convert Input(s) to Base Unit
Torque on Inner Cylinder: 500 Kilonewton Meter --> 500000 Newton Meter (Check conversion here)
Radius of Inner Cylinder: 12 Meter --> 12 Meter No Conversion Required
Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = T/(2*pi*((r1)^2)*๐œ) --> 500000/(2*pi*((12)^2)*93.1)
Evaluating ... ...
h = 5.93578227905684
STEP 3: Convert Result to Output's Unit
5.93578227905684 Meter --> No Conversion Required
FINAL ANSWER
5.93578227905684 โ‰ˆ 5.935782 Meter <-- Height
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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20 Coaxial Cylinder Viscometers Calculators

Torque exerted on Inner Cylinder given Dynamic Viscosity of Fluid
Go Torque on Inner Cylinder = Dynamic Viscosity/((15*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height*Angular Speed))
Speed of Outer Cylinder given Dynamic Viscosity of Fluid
Go Angular Speed = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height*Dynamic Viscosity)
Height of Cylinder given Dynamic Viscosity of Fluid
Go Height = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Dynamic Viscosity*Angular Speed)
Dynamic Viscosity of Fluid Flow given Torque
Go Dynamic Viscosity = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height*Angular Speed)
Radius of Inner Cylinder given Velocity Gradient
Go Radius of Inner Cylinder = (30*Velocity Gradient*Radius of Outer Cylinder-pi*Radius of Outer Cylinder*Angular Speed)/(30*Velocity Gradient)
Radius of Inner Cylinder given Torque exerted on Outer Cylinder
Go Radius of Inner Cylinder = (Torque on Outer Cylinder/(Dynamic Viscosity*pi*pi*Angular Speed/(60*Clearance)))^(1/4)
Speed of Outer Cylinder given Torque exerted on Outer Cylinder
Go Angular Speed = Torque on Outer Cylinder/(pi*pi*Dynamic Viscosity*(Radius of Inner Cylinder^4)/(60*Clearance))
Dynamic Viscosity given Torque exerted on Outer Cylinder
Go Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance))
Clearance given Torque exerted on Outer Cylinder
Go Clearance = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Torque on Outer Cylinder)
Torque exerted on Outer Cylinder
Go Torque on Outer Cylinder = Dynamic Viscosity*pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance)
Speed of Outer Cylinder given Velocity Gradient
Go Angular Speed = Velocity Gradient/((pi*Radius of Outer Cylinder)/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder)))
Velocity Gradients
Go Velocity Gradient = pi*Radius of Outer Cylinder*Angular Speed/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder))
Radius of Outer Cylinder given Velocity Gradient
Go Radius of Outer Cylinder = (30*Velocity Gradient*Radius of Inner Cylinder)/(30*Velocity Gradient-pi*Angular Speed)
Radius of Inner Cylinder given Torque exerted on Inner Cylinder
Go Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height*Shear Stress))
Shear Stress on Cylinder given Torque exerted on Inner Cylinder
Go Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height)
Height of Cylinder given Torque exerted on Inner Cylinder
Go Height = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress)
Speed of Outer Cylinder given Total Torque
Go Angular Speed = Total Torque/(Viscometer Constant*Dynamic Viscosity)
Dynamic Viscosity given Total Torque
Go Dynamic Viscosity = Total Torque/(Viscometer Constant*Angular Speed)
Torque exerted on Inner Cylinder
Go Total Torque = 2*((Radius of Inner Cylinder)^2)*Height*Shear Stress
Total Torque
Go Total Torque = Viscometer Constant*Dynamic Viscosity*Angular Speed

Height of Cylinder given Torque exerted on Inner Cylinder Formula

Height = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress)
h = T/(2*pi*((r1)^2)*๐œ)

What is Torque?

Torque is the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study. The concept originated with the studies by Archimedes of the usage of levers.

How to Calculate Height of Cylinder given Torque exerted on Inner Cylinder?

Height of Cylinder given Torque exerted on Inner Cylinder calculator uses Height = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress) to calculate the Height, The Height of Cylinder given Torque exerted on Inner Cylinder is defined as the total length of storage or rotating section height. Height is denoted by h symbol.

How to calculate Height of Cylinder given Torque exerted on Inner Cylinder using this online calculator? To use this online calculator for Height of Cylinder given Torque exerted on Inner Cylinder, enter Torque on Inner Cylinder (T), Radius of Inner Cylinder (r1) & Shear Stress (๐œ) and hit the calculate button. Here is how the Height of Cylinder given Torque exerted on Inner Cylinder calculation can be explained with given input values -> 5.935782 = 500000/(2*pi*((12)^2)*93.1).

FAQ

What is Height of Cylinder given Torque exerted on Inner Cylinder?
The Height of Cylinder given Torque exerted on Inner Cylinder is defined as the total length of storage or rotating section height and is represented as h = T/(2*pi*((r1)^2)*๐œ) or Height = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress). Torque on Inner Cylinder is torque on cylinder from the external shaft, Radius of Inner Cylinder is the distance from center to inner cylinder's surface, crucial for viscosity measurement & Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
How to calculate Height of Cylinder given Torque exerted on Inner Cylinder?
The Height of Cylinder given Torque exerted on Inner Cylinder is defined as the total length of storage or rotating section height is calculated using Height = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress). To calculate Height of Cylinder given Torque exerted on Inner Cylinder, you need Torque on Inner Cylinder (T), Radius of Inner Cylinder (r1) & Shear Stress (๐œ). With our tool, you need to enter the respective value for Torque on Inner Cylinder, Radius of Inner Cylinder & Shear Stress 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 Height?
In this formula, Height uses Torque on Inner Cylinder, Radius of Inner Cylinder & Shear Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Height = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Dynamic Viscosity*Angular Speed)
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