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Thickness of Cylinder Formula

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Thickness Of Cylinder is the length of the cylinder used. Check FAQs

t c = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{ρ \cdot 10^{9}}{μ r \cdot f furnace}}

t_c - Thickness of Cylinder?ρ - Specific Resistance?μ_r - Relative Permeability?f_furnace - Frequency of Induction Furnace?π - Archimedes' constant?

Thickness of Cylinder Example

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Here is how the Thickness of Cylinder equation looks like with Values.

Here is how the Thickness of Cylinder equation looks like with Units.

Here is how the Thickness of Cylinder equation looks like.

10.6099 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{113.59 \cdot 10^{9}}{0.9 \cdot 2.84}}

10.6099cm = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{113.59μΩ*cm \cdot 10^{9}}{0.9 \cdot 2.84kHz}}

10.6099 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{113.59 \cdot 10^{9}}{0.9 \cdot 2.84}}

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Thickness of Cylinder Solution

Follow our step by step solution on how to calculate Thickness of Cylinder?

FIRST Step Consider the formula

t c = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{ρ \cdot 10^{9}}{μ r \cdot f furnace}}

Next Step Substitute values of Variables

∴

t c = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{113.59μΩ*cm \cdot 10^{9}}{0.9 \cdot 2.84kHz}}

Next Step Substitute values of Constants

∴

t c = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{113.59μΩ*cm \cdot 10^{9}}{0.9 \cdot 2.84kHz}}

Next Step Convert Units

∴

t c = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{1.1E-6Ω*m \cdot 10^{9}}{0.9 \cdot 2840Hz}}

Next Step Prepare to Evaluate

∴

t c = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{1.1E-6 \cdot 10^{9}}{0.9 \cdot 2840}}

Next Step Evaluate

∴

t c = 0.106098625252409m

Next Step Convert to Output's Unit

∴

t c = 10.6098625252409cm

LAST Step Rounding Answer

∴

t c = 10.6099cm

Thickness of Cylinder Formula Elements

Variables

Constants

Functions

Thickness of Cylinder

Thickness Of Cylinder is the length of the cylinder used.

Symbol: t_c

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Thickness of Cylinder

Specific Resistance

Specific resistance is also known as resisitivity. The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section.

Symbol: ρ

Measurement: Electric ResistivityUnit: μΩ*cm

Note: Value should be greater than 0.

Formulas to find Specific Resistance

Relative Permeability

Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.

Symbol: μ_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Permeability

Frequency of Induction Furnace

Frequency of induction furnace is the operating frequency of coreless induction furnace.

Symbol: f_furnace

Measurement: FrequencyUnit: kHz

Note: Value should be greater than 0.

Formulas to find Frequency of Induction Furnace

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Furnace Heating category

Go Heat Conduction

Q = \frac{k \cdot A furnace \cdot T total \cdot (T 1 - T 2)}{t w}

Go Heat Radiation

H = 5.72 \cdot e \cdot K \cdot ({(\frac{T 1}{100})}^{4} - {(\frac{T 2}{100})}^{4})

Go Energy Required by Furnace to Melt Steel

E = (m \cdot S heat \cdot (T 2 - T 1)) + (m \cdot L heat)

Go Energy Efficiency

η = \frac{E t}{E a}

How to Evaluate Thickness of Cylinder?

Thickness of Cylinder evaluator uses Thickness of Cylinder = 1/(2*pi)*sqrt((Specific Resistance*10^9)/(Relative Permeability*Frequency of Induction Furnace)) to evaluate the Thickness of Cylinder, The Thickness of cylinder formula is defined as the thickness of the cylindrical layer used in the middle of the crucible. Thickness of Cylinder is denoted by t_c symbol.

How to evaluate Thickness of Cylinder using this online evaluator? To use this online evaluator for Thickness of Cylinder, enter Specific Resistance (ρ), Relative Permeability (μ_r) & Frequency of Induction Furnace (f_furnace) and hit the calculate button.

FAQs on Thickness of Cylinder

What is the formula to find Thickness of Cylinder?

The formula of Thickness of Cylinder is expressed as Thickness of Cylinder = 1/(2*pi)*sqrt((Specific Resistance*10^9)/(Relative Permeability*Frequency of Induction Furnace)). Here is an example- 1060.986 = 1/(2*pi)*sqrt((1.1359E-06*10^9)/(0.9*2840)).

How to calculate Thickness of Cylinder?

With Specific Resistance (ρ), Relative Permeability (μ_r) & Frequency of Induction Furnace (f_furnace) we can find Thickness of Cylinder using the formula - Thickness of Cylinder = 1/(2*pi)*sqrt((Specific Resistance*10^9)/(Relative Permeability*Frequency of Induction Furnace)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Thickness of Cylinder be negative?

No, the Thickness of Cylinder, measured in Length cannot be negative.

Which unit is used to measure Thickness of Cylinder?

Thickness of Cylinder is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Thickness of Cylinder can be measured.

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Thickness of Cylinder Formula

Thickness of Cylinder Example

Thickness of Cylinder Solution

Thickness of Cylinder Formula Elements

Other formulas in Furnace Heating category

How to Evaluate Thickness of Cylinder?

FAQs on Thickness of Cylinder

Variable Name