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Power transmission through pipes Formula

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Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work. Check FAQs

PT = (ρ \cdot [g] \cdot π \cdot (D^{2}) \cdot \frac{V f}{4000}) \cdot (H in - (4 \cdot μ \cdot L \cdot \frac{{V f}^{2}}{D \cdot 2 \cdot [g]}))

PT - Power Transmitted?ρ - Density?D - Diameter of Pipe?V_f - Flow Velocity through Pipe?H_in - Total Head at Inlet of Pipe?μ - Coefficient of Friction of Pipe?L - Length of Pipe?[g] - Gravitational acceleration on Earth?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Power transmission through pipes Example

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Here is how the Power transmission through pipes equation looks like with Values.

Here is how the Power transmission through pipes equation looks like with Units.

Here is how the Power transmission through pipes equation looks like.

0.0091 = (997 \cdot 9.8066 \cdot 3.1416 \cdot ({0.12}^{2}) \cdot \frac{12.5}{4000}) \cdot (3193.2 - (4 \cdot 0.01 \cdot 1200 \cdot \frac{{12.5}^{2}}{0.12 \cdot 2 \cdot 9.8066}))

0.0091kW = (997kg/m³ \cdot 9.8066m/s² \cdot 3.1416 \cdot ({0.12m}^{2}) \cdot \frac{12.5m/s}{4000}) \cdot (3193.2m - (4 \cdot 0.01 \cdot 1200m \cdot \frac{{12.5m/s}^{2}}{0.12m \cdot 2 \cdot 9.8066m/s²}))

0.0091 = (997 \cdot 9.8066 \cdot 3.1416 \cdot ({0.12}^{2}) \cdot \frac{12.5}{4000}) \cdot (3193.2 - (4 \cdot 0.01 \cdot 1200 \cdot \frac{{12.5}^{2}}{0.12 \cdot 2 \cdot 9.8066}))

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Power transmission through pipes Solution

Follow our step by step solution on how to calculate Power transmission through pipes?

FIRST Step Consider the formula

PT = (ρ \cdot [g] \cdot π \cdot (D^{2}) \cdot \frac{V f}{4000}) \cdot (H in - (4 \cdot μ \cdot L \cdot \frac{{V f}^{2}}{D \cdot 2 \cdot [g]}))

Next Step Substitute values of Variables

∴

PT = (997kg/m³ \cdot [g] \cdot π \cdot ({0.12m}^{2}) \cdot \frac{12.5m/s}{4000}) \cdot (3193.2m - (4 \cdot 0.01 \cdot 1200m \cdot \frac{{12.5m/s}^{2}}{0.12m \cdot 2 \cdot [g]}))

Next Step Substitute values of Constants

∴

PT = (997kg/m³ \cdot 9.8066m/s² \cdot 3.1416 \cdot ({0.12m}^{2}) \cdot \frac{12.5m/s}{4000}) \cdot (3193.2m - (4 \cdot 0.01 \cdot 1200m \cdot \frac{{12.5m/s}^{2}}{0.12m \cdot 2 \cdot 9.8066m/s²}))

Next Step Prepare to Evaluate

∴

PT = (997 \cdot 9.8066 \cdot 3.1416 \cdot ({0.12}^{2}) \cdot \frac{12.5}{4000}) \cdot (3193.2 - (4 \cdot 0.01 \cdot 1200 \cdot \frac{{12.5}^{2}}{0.12 \cdot 2 \cdot 9.8066}))

Next Step Evaluate

∴

PT = 9.10447626821878W

Next Step Convert to Output's Unit

∴

PT = 0.00910447626821878kW

LAST Step Rounding Answer

∴

PT = 0.0091kW

Power transmission through pipes Formula Elements

Variables

Constants

Power Transmitted

Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.

Symbol: PT

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Power Transmitted

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Diameter of Pipe

Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Flow Velocity through Pipe

Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity through Pipe

Total Head at Inlet of Pipe

Total Head at Inlet of Pipe is the measure of fluid's potential at the entrance or the inlet of the pipe.

Symbol: H_in

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Head at Inlet of Pipe

Coefficient of Friction of Pipe

Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction of Pipe

Length of Pipe

Length of Pipe describes the length of the pipe in which the liquid is flowing.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 in Power Transmission category

Go Power Lost ue to Sudden Enlargement

P = ρ f \cdot [g] \cdot Q \cdot h e

Go Efficiency of power transmission in flow through pipes

η p = \frac{H in - h f}{H in}

How to Evaluate Power transmission through pipes?

Power transmission through pipes evaluator uses Power Transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity through Pipe/4000)*(Total Head at Inlet of Pipe-(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))) to evaluate the Power Transmitted, The Power transmission through pipes formula is known while considering the length, diameter, and flow velocity of the pipe, total head available at the inlet of pipe, and coefficient of friction. Power Transmitted is denoted by PT symbol.

How to evaluate Power transmission through pipes using this online evaluator? To use this online evaluator for Power transmission through pipes, enter Density (ρ), Diameter of Pipe (D), Flow Velocity through Pipe (V_f), Total Head at Inlet of Pipe (H_in), Coefficient of Friction of Pipe (μ) & Length of Pipe (L) and hit the calculate button.

FAQs on Power transmission through pipes

What is the formula to find Power transmission through pipes?

The formula of Power transmission through pipes is expressed as Power Transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity through Pipe/4000)*(Total Head at Inlet of Pipe-(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))). Here is an example- 9.1E-6 = (997*[g]*pi*(0.12^2)*12.5/4000)*(3193.2-(4*0.01*1200*(12.5^2)/(0.12*2*[g]))).

How to calculate Power transmission through pipes?

With Density (ρ), Diameter of Pipe (D), Flow Velocity through Pipe (V_f), Total Head at Inlet of Pipe (H_in), Coefficient of Friction of Pipe (μ) & Length of Pipe (L) we can find Power transmission through pipes using the formula - Power Transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity through Pipe/4000)*(Total Head at Inlet of Pipe-(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))). This formula also uses Gravitational acceleration on Earth, Gravitational acceleration on Earth, Archimedes' constant .

Can the Power transmission through pipes be negative?

No, the Power transmission through pipes, measured in Power cannot be negative.

Which unit is used to measure Power transmission through pipes?

Power transmission through pipes is usually measured using the Kilowatt[kW] for Power. Watt[kW], Milliwatt[kW], Microwatt[kW] are the few other units in which Power transmission through pipes can be measured.

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Power transmission through pipes Formula

Power transmission through pipes Example

Power transmission through pipes Solution

Power transmission through pipes Formula Elements

Other formulas in Power Transmission category

How to Evaluate Power transmission through pipes?

FAQs on Power transmission through pipes

Variable Name