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Power Number Formula

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Power Number Nₚ is a commonly used dimensionless number relating the resistance force to the inertia force. Check FAQs

N p = P \cdot \frac{[g]}{ρ l \cdot ({(\frac{N}{60})}^{3}) \cdot {D a}^{5}}

N_p - Power Number?P - Power?ρ_l - Density of Liquid?N - Speed of Agitator?D_a - Agitator Diameter?[g] - Gravitational acceleration on Earth?

Power Number Example

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Here is how the Power Number equation looks like with Values.

Here is how the Power Number equation looks like with Units.

Here is how the Power Number equation looks like.

84606.5589 = 12.5 \cdot \frac{9.8066}{4 \cdot ({(\frac{101}{60})}^{3}) \cdot 150^{5}}

84606.5589 = 12.5W \cdot \frac{9.8066m/s²}{4kg/m³ \cdot ({(\frac{101rev/min}{60})}^{3}) \cdot {150mm}^{5}}

84606.5589 = 12.5 \cdot \frac{9.8066}{4 \cdot ({(\frac{101}{60})}^{3}) \cdot 150^{5}}

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Power Number Solution

Follow our step by step solution on how to calculate Power Number?

FIRST Step Consider the formula

N p = P \cdot \frac{[g]}{ρ l \cdot ({(\frac{N}{60})}^{3}) \cdot {D a}^{5}}

Next Step Substitute values of Variables

∴

N p = 12.5W \cdot \frac{[g]}{4kg/m³ \cdot ({(\frac{101rev/min}{60})}^{3}) \cdot {150mm}^{5}}

Next Step Substitute values of Constants

∴

N p = 12.5W \cdot \frac{9.8066m/s²}{4kg/m³ \cdot ({(\frac{101rev/min}{60})}^{3}) \cdot {150mm}^{5}}

Next Step Convert Units

∴

N p = 12.5W \cdot \frac{9.8066m/s²}{4kg/m³ \cdot ({(\frac{101rev/min}{60})}^{3}) \cdot {0.15m}^{5}}

Next Step Prepare to Evaluate

∴

N p = 12.5 \cdot \frac{9.8066}{4 \cdot ({(\frac{101}{60})}^{3}) \cdot {0.15}^{5}}

Next Step Evaluate

∴

N p = 84606.5588815523

LAST Step Rounding Answer

∴

N p = 84606.5589

Power Number Formula Elements

Variables

Constants

Power Number

Power Number Nₚ is a commonly used dimensionless number relating the resistance force to the inertia force.

Symbol: N_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Power Number

Power

Power is the amount of energy transferred or converted per unit time.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power

Density of Liquid

Density of Liquid is mass of a unit volume of a material substance.

Symbol: ρ_l

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Liquid

Speed of Agitator

Speed of Agitator is the rate of rotation of the drum or blades of a truck mixer or other device used for agitation of mixed concrete.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Formulas to find Speed of Agitator

Agitator Diameter

Agitator Diameter usually depends on the Diameter of the vessel it is generally 1/3rd the diameter of the tank.

Symbol: D_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Agitator Diameter

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

Other formulas in Power Requirements for Agitation category

Go Reynolds Number

Re = \frac{ρ 1 \cdot v fd \cdot d p}{μ v}

Go Froude Number

Fr = \frac{F i}{F g}

Go Power Required for Agitator

P = \frac{N p \cdot ρ l \cdot ({(\frac{N}{60})}^{3}) \cdot ({D a}^{5})}{[g] \cdot 75}

How to Evaluate Power Number?

Power Number evaluator uses Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5) to evaluate the Power Number, Power Number Nₚ is a commonly used dimensionless number relating the resistance force to the inertia force , it is calculated using agitator diameter, density of liquid, and by acceleration. Power Number is denoted by N_p symbol.

How to evaluate Power Number using this online evaluator? To use this online evaluator for Power Number, enter Power (P), Density of Liquid (ρ_l), Speed of Agitator (N) & Agitator Diameter (D_a) and hit the calculate button.

FAQs on Power Number

What is the formula to find Power Number?

The formula of Power Number is expressed as Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5). Here is an example- 84606.56 = 12.5*[g]/(4*((10.576695266547/60)^3)*0.15^5).

How to calculate Power Number?

With Power (P), Density of Liquid (ρ_l), Speed of Agitator (N) & Agitator Diameter (D_a) we can find Power Number using the formula - Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5). This formula also uses Gravitational acceleration on Earth constant(s).

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Power Number Formula

Power Number Example

Power Number Solution

Power Number Formula Elements

Other formulas in Power Requirements for Agitation category

How to Evaluate Power Number?

FAQs on Power Number

Variable Name