Torque exerted on Inner Cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Torque = 2*((Radius of Inner Cylinder)^2)*Height*Shear Stress
ΤTorque = 2*((r1)^2)*h*𝜏
This formula uses 4 Variables
Variables Used
Total Torque - (Measured in Newton Meter) - Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.
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.
Height - (Measured in Meter) - Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.
Shear Stress - (Measured in Kilonewton per Square Meter) - 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
Radius of Inner Cylinder: 12 Meter --> 12 Meter No Conversion Required
Height: 11.9 Meter --> 11.9 Meter No Conversion Required
Shear Stress: 93.1 Pascal --> 0.0931 Kilonewton per Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΤTorque = 2*((r1)^2)*h*𝜏 --> 2*((12)^2)*11.9*0.0931
Evaluating ... ...
ΤTorque = 319.07232
STEP 3: Convert Result to Output's Unit
319.07232 Newton Meter --> No Conversion Required
FINAL ANSWER
319.07232 319.0723 Newton Meter <-- Total Torque
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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National Institute of Technology (NIT), Warangal
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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

Torque exerted on Inner Cylinder Formula

Total Torque = 2*((Radius of Inner Cylinder)^2)*Height*Shear Stress
ΤTorque = 2*((r1)^2)*h*𝜏

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 Torque exerted on Inner Cylinder?

Torque exerted on Inner Cylinder calculator uses Total Torque = 2*((Radius of Inner Cylinder)^2)*Height*Shear Stress to calculate the Total Torque, The Torque exerted on Inner Cylinder is defined as the amount of moment generated by the stress acting on the boundary. Total Torque is denoted by ΤTorque symbol.

How to calculate Torque exerted on Inner Cylinder using this online calculator? To use this online calculator for Torque exerted on Inner Cylinder, enter Radius of Inner Cylinder (r1), Height (h) & Shear Stress (𝜏) and hit the calculate button. Here is how the Torque exerted on Inner Cylinder calculation can be explained with given input values -> 319.0723 = 2*((12)^2)*11.9*93.1.

FAQ

What is Torque exerted on Inner Cylinder?
The Torque exerted on Inner Cylinder is defined as the amount of moment generated by the stress acting on the boundary and is represented as ΤTorque = 2*((r1)^2)*h*𝜏 or Total Torque = 2*((Radius of Inner Cylinder)^2)*Height*Shear Stress. Radius of Inner Cylinder is the distance from center to inner cylinder's surface, crucial for viscosity measurement, Height is the distance between the lowest and highest points of a person/ shape/ object standing upright & 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 Torque exerted on Inner Cylinder?
The Torque exerted on Inner Cylinder is defined as the amount of moment generated by the stress acting on the boundary is calculated using Total Torque = 2*((Radius of Inner Cylinder)^2)*Height*Shear Stress. To calculate Torque exerted on Inner Cylinder, you need Radius of Inner Cylinder (r1), Height (h) & Shear Stress (𝜏). With our tool, you need to enter the respective value for Radius of Inner Cylinder, Height & 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 Total Torque?
In this formula, Total Torque uses Radius of Inner Cylinder, Height & Shear Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Total Torque = Viscometer Constant*Dynamic Viscosity*Angular Speed
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