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Power Required for Agitator Formula

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

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

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

Power Required for Agitator Example

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Here is how the Power Required for Agitator equation looks like with Values.

Here is how the Power Required for Agitator equation looks like with Units.

Here is how the Power Required for Agitator equation looks like.

2E-5 = \frac{10 \cdot 4 \cdot ({(\frac{101}{60})}^{3}) \cdot (150^{5})}{9.8066 \cdot 75}

2E-5W = \frac{10 \cdot 4kg/m³ \cdot ({(\frac{101rev/min}{60})}^{3}) \cdot ({150mm}^{5})}{9.8066m/s² \cdot 75}

2E-5 = \frac{10 \cdot 4 \cdot ({(\frac{101}{60})}^{3}) \cdot (150^{5})}{9.8066 \cdot 75}

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Power Required for Agitator Solution

Follow our step by step solution on how to calculate Power Required for Agitator?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{10 \cdot 4kg/m³ \cdot ({(\frac{101rev/min}{60})}^{3}) \cdot ({150mm}^{5})}{[g] \cdot 75}

Next Step Substitute values of Constants

∴

P = \frac{10 \cdot 4kg/m³ \cdot ({(\frac{101rev/min}{60})}^{3}) \cdot ({150mm}^{5})}{9.8066m/s² \cdot 75}

Next Step Convert Units

∴

P = \frac{10 \cdot 4kg/m³ \cdot ({(\frac{101rev/min}{60})}^{3}) \cdot ({0.15m}^{5})}{9.8066m/s² \cdot 75}

Next Step Prepare to Evaluate

∴

P = \frac{10 \cdot 4 \cdot ({(\frac{101}{60})}^{3}) \cdot ({0.15}^{5})}{9.8066 \cdot 75}

Next Step Evaluate

∴

P = 1.96990243865132E-05W

LAST Step Rounding Answer

∴

P = 2E-5W

Power Required for Agitator Formula Elements

Variables

Constants

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

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

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 Power Number

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

Go Froude Number

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

How to Evaluate Power Required for Agitator?

Power Required for Agitator evaluator uses Power = (Power Number*Density of Liquid*(((Speed of Agitator)/(60))^3)*(Agitator Diameter^5))/([g]*75) to evaluate the Power, Power Required for Agitator depends on several factors including impeller design,number of impellers and location within a tank, tank baffling and fluid viscosity. Power is denoted by P symbol.

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

FAQs on Power Required for Agitator

What is the formula to find Power Required for Agitator?

The formula of Power Required for Agitator is expressed as Power = (Power Number*Density of Liquid*(((Speed of Agitator)/(60))^3)*(Agitator Diameter^5))/([g]*75). Here is an example- 2E-5 = (10*4*(((10.576695266547)/(60))^3)*(0.15^5))/([g]*75).

How to calculate Power Required for Agitator?

With Power Number (N_p), Density of Liquid (ρ_l), Speed of Agitator (N) & Agitator Diameter (D_a) we can find Power Required for Agitator using the formula - Power = (Power Number*Density of Liquid*(((Speed of Agitator)/(60))^3)*(Agitator Diameter^5))/([g]*75). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Power Required for Agitator be negative?

No, the Power Required for Agitator, measured in Power cannot be negative.

Which unit is used to measure Power Required for Agitator?

Power Required for Agitator is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power Required for Agitator can be measured.

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Power Required for Agitator Formula

Power Required for Agitator Example

Power Required for Agitator Solution

Power Required for Agitator Formula Elements

Other formulas in Power Requirements for Agitation category

How to Evaluate Power Required for Agitator?

FAQs on Power Required for Agitator

Variable Name