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The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright. Check FAQs
h=15T(r2-r1)ππr1r1r2μΩ
h - Height of Cylinder?T - Torque on Inner Cylinder?r2 - Radius of Outer Cylinder?r1 - Radius of Inner Cylinder?μ - Dynamic Viscosity?Ω - Angular Speed?π - Archimedes' constant?

Height of Cylinder given Dynamic Viscosity of Fluid Example

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With units
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Here is how the Height of Cylinder given Dynamic Viscosity of Fluid equation looks like with Values.

Here is how the Height of Cylinder given Dynamic Viscosity of Fluid equation looks like with Units.

Here is how the Height of Cylinder given Dynamic Viscosity of Fluid equation looks like.

12.6679Edit=15500Edit(13Edit-12Edit)3.14163.141612Edit12Edit13Edit10.2Edit5Edit
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Height of Cylinder given Dynamic Viscosity of Fluid Solution

Follow our step by step solution on how to calculate Height of Cylinder given Dynamic Viscosity of Fluid?

FIRST Step Consider the formula
h=15T(r2-r1)ππr1r1r2μΩ
Next Step Substitute values of Variables
h=15500kN*m(13m-12m)ππ12m12m13m10.2P5rev/s
Next Step Substitute values of Constants
h=15500kN*m(13m-12m)3.14163.141612m12m13m10.2P5rev/s
Next Step Convert Units
h=15500000N*m(13m-12m)3.14163.141612m12m13m1.02Pa*s31.4159rad/s
Next Step Prepare to Evaluate
h=15500000(13-12)3.14163.14161212131.0231.4159
Next Step Evaluate
h=12.6679292494823m
LAST Step Rounding Answer
h=12.6679m

Height of Cylinder given Dynamic Viscosity of Fluid Formula Elements

Variables
Constants
Height of Cylinder
The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright.
Symbol: h
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Torque on Inner Cylinder
The Torque on Inner Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.
Symbol: T
Measurement: TorqueUnit: kN*m
Note: Value should be greater than 0.
Radius of Outer Cylinder
The Radius of Outer Cylinder refers to the spacing for measuring fluid viscosity based on inner cylinder rotation.
Symbol: r2
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Radius of Inner Cylinder
The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement.
Symbol: r1
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Dynamic Viscosity
The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Symbol: μ
Measurement: Dynamic ViscosityUnit: P
Note: Value should be greater than 0.
Angular Speed
The Angular Speed refers to the rate of change of angular displacement.
Symbol: Ω
Measurement: Angular VelocityUnit: rev/s
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Height of Cylinder

​Go Height of Cylinder given Torque exerted on Inner Cylinder
h=T2π((r1)2)𝜏

Other formulas in Coaxial Cylinder Viscometers category

​Go Torque exerted on Inner Cylinder
ΤTorque=2((r1)2)h𝜏
​Go Radius of Inner Cylinder given Torque exerted on Inner Cylinder
r1=T2πh𝜏
​Go Shear Stress on Cylinder given Torque exerted on Inner Cylinder
𝜏=T2π((r1)2)h
​Go Velocity Gradients
VG=πr2Ω30(r2-r1)

How to Evaluate Height of Cylinder given Dynamic Viscosity of Fluid?

Height of Cylinder given Dynamic Viscosity of Fluid evaluator uses Height of Cylinder = (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) to evaluate the Height of Cylinder, The Height of Cylinder given Dynamic Viscosity of Fluid formula is defined as the total height of cylinder in rotation. Height of Cylinder is denoted by h symbol.

How to evaluate Height of Cylinder given Dynamic Viscosity of Fluid using this online evaluator? To use this online evaluator for Height of Cylinder given Dynamic Viscosity of Fluid, enter Torque on Inner Cylinder (T), Radius of Outer Cylinder (r2), Radius of Inner Cylinder (r1), Dynamic Viscosity (μ) & Angular Speed (Ω) and hit the calculate button.

FAQs on Height of Cylinder given Dynamic Viscosity of Fluid

What is the formula to find Height of Cylinder given Dynamic Viscosity of Fluid?
The formula of Height of Cylinder given Dynamic Viscosity of Fluid is expressed as Height of Cylinder = (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). Here is an example- 12.66793 = (15*500000*(13-12))/(pi*pi*12*12*13*1.02*31.4159265342981).
How to calculate Height of Cylinder given Dynamic Viscosity of Fluid?
With Torque on Inner Cylinder (T), Radius of Outer Cylinder (r2), Radius of Inner Cylinder (r1), Dynamic Viscosity (μ) & Angular Speed (Ω) we can find Height of Cylinder given Dynamic Viscosity of Fluid using the formula - Height of Cylinder = (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). This formula also uses Archimedes' constant .
What are the other ways to Calculate Height of Cylinder?
Here are the different ways to Calculate Height of Cylinder-
  • Height of Cylinder=Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress)OpenImg
Can the Height of Cylinder given Dynamic Viscosity of Fluid be negative?
No, the Height of Cylinder given Dynamic Viscosity of Fluid, measured in Length cannot be negative.
Which unit is used to measure Height of Cylinder given Dynamic Viscosity of Fluid?
Height of Cylinder given Dynamic Viscosity of Fluid is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Cylinder given Dynamic Viscosity of Fluid can be measured.
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