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Temperature Inside Solid Sphere at given Radius Formula

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Temperature 2 is the degree or intensity of heat present in a substance or object. Check FAQs

t 2 = T w + \frac{q G}{6 \cdot k} \cdot ({R s}^{2} - r^{2})

t₂ - Temperature 2?T_w - Surface Temperature of Wall?q_G - Internal Heat Generation?k - Thermal Conductivity?R_s - Radius of Sphere?r - Radius?

Temperature Inside Solid Sphere at given Radius Example

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Here is how the Temperature Inside Solid Sphere at given Radius equation looks like with Values.

Here is how the Temperature Inside Solid Sphere at given Radius equation looks like with Units.

Here is how the Temperature Inside Solid Sphere at given Radius equation looks like.

473.8049 = 273 + \frac{100}{6 \cdot 10.18} \cdot ({11.775}^{2} - 4^{2})

473.8049K = 273K + \frac{100W/m³}{6 \cdot 10.18W/(m*K)} \cdot ({11.775m}^{2} - {4m}^{2})

473.8049 = 273 + \frac{100}{6 \cdot 10.18} \cdot ({11.775}^{2} - 4^{2})

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Temperature Inside Solid Sphere at given Radius Solution

Follow our step by step solution on how to calculate Temperature Inside Solid Sphere at given Radius?

FIRST Step Consider the formula

t 2 = T w + \frac{q G}{6 \cdot k} \cdot ({R s}^{2} - r^{2})

Next Step Substitute values of Variables

∴

t 2 = 273K + \frac{100W/m³}{6 \cdot 10.18W/(m*K)} \cdot ({11.775m}^{2} - {4m}^{2})

Next Step Prepare to Evaluate

∴

t 2 = 273 + \frac{100}{6 \cdot 10.18} \cdot ({11.775}^{2} - 4^{2})

Next Step Evaluate

∴

t 2 = 473.804869190838K

LAST Step Rounding Answer

∴

t 2 = 473.8049K

Temperature Inside Solid Sphere at given Radius Formula Elements

Variables

Temperature 2

Temperature 2 is the degree or intensity of heat present in a substance or object.

Symbol: t₂

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature 2

Surface Temperature of Wall

Surface Temperature of wall is the temperature at or near a surface. Specifically, it may refer to as Surface air temperature, the temperature of the air near the surface of the earth.

Symbol: T_w

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Surface Temperature of Wall

Internal Heat Generation

Internal Heat Generation is defined as the conversion of electrical, chemical, or nuclear energy into heat (or thermal) energy which leads to a rise in temperature throughout the medium.

Symbol: q_G

Measurement: Power DensityUnit: W/m³

Note: Value should be greater than 0.

Formulas to find Internal Heat Generation

Thermal Conductivity

Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.

Symbol: k

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Radius of Sphere

Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.

Symbol: R_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Sphere

Radius

Radius is the radial distance to the point or plane up to which the value of the desired variable will be calculated.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius

Other formulas in Steady State Heat Conduction with Heat Generation category

Go Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions

T max = T 1 + \frac{q G \cdot b^{2}}{8 \cdot k}

Go Location of Maximum Temperature in Plane Wall with Symmetrical Boundary Conditions

X = \frac{b}{2}

Go Maximum Temperature in Solid Cylinder

T max = T w + \frac{q G \cdot {R cy}^{2}}{4 \cdot k}

Go Maximum Temperature in Solid Sphere

T max = T w + \frac{q G \cdot {R s}^{2}}{6 \cdot k}

How to Evaluate Temperature Inside Solid Sphere at given Radius?

Temperature Inside Solid Sphere at given Radius evaluator uses Temperature 2 = Surface Temperature of Wall+Internal Heat Generation/(6*Thermal Conductivity)*(Radius of Sphere^2-Radius^2) to evaluate the Temperature 2, The Temperature inside solid sphere at given radius formula gives the value of temperature at the desired radius inside the sphere which is provided with an internal heat generation source. Temperature 2 is denoted by t₂ symbol.

How to evaluate Temperature Inside Solid Sphere at given Radius using this online evaluator? To use this online evaluator for Temperature Inside Solid Sphere at given Radius, enter Surface Temperature of Wall (T_w), Internal Heat Generation (q_G), Thermal Conductivity (k), Radius of Sphere (R_s) & Radius (r) and hit the calculate button.

FAQs on Temperature Inside Solid Sphere at given Radius

What is the formula to find Temperature Inside Solid Sphere at given Radius?

The formula of Temperature Inside Solid Sphere at given Radius is expressed as Temperature 2 = Surface Temperature of Wall+Internal Heat Generation/(6*Thermal Conductivity)*(Radius of Sphere^2-Radius^2). Here is an example- 473.8049 = 273+100/(6*10.18)*(11.775042^2-4^2).

How to calculate Temperature Inside Solid Sphere at given Radius?

With Surface Temperature of Wall (T_w), Internal Heat Generation (q_G), Thermal Conductivity (k), Radius of Sphere (R_s) & Radius (r) we can find Temperature Inside Solid Sphere at given Radius using the formula - Temperature 2 = Surface Temperature of Wall+Internal Heat Generation/(6*Thermal Conductivity)*(Radius of Sphere^2-Radius^2).

Can the Temperature Inside Solid Sphere at given Radius be negative?

Yes, the Temperature Inside Solid Sphere at given Radius, measured in Temperature can be negative.

Which unit is used to measure Temperature Inside Solid Sphere at given Radius?

Temperature Inside Solid Sphere at given Radius is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature Inside Solid Sphere at given Radius can be measured.

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Temperature Inside Solid Sphere at given Radius Formula

Temperature Inside Solid Sphere at given Radius Example

Temperature Inside Solid Sphere at given Radius Solution

Temperature Inside Solid Sphere at given Radius Formula Elements

Other formulas in Steady State Heat Conduction with Heat Generation category

How to Evaluate Temperature Inside Solid Sphere at given Radius?

FAQs on Temperature Inside Solid Sphere at given Radius

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