Power Number Calculator

✖Power is the amount of energy transferred or converted per unit time.ⓘ Power [P]			+10% -10%
✖Density of Liquid is mass of a unit volume of a material substance.ⓘ Density of Liquid [ρ_l]			+10% -10%
✖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.ⓘ Speed of Agitator [N]			+10% -10%
✖Agitator Diameter usually depends on the Diameter of the vessel it is generally 1/3rd the diameter of the tank.ⓘ Agitator Diameter [D_a]			+10% -10%

✖Power Number Nₚ is a commonly used dimensionless number relating the resistance force to the inertia force.ⓘ Power Number [N_p]

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Power Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5)
N_p = P*[g]/(ρ_l*((N/60)^3)*D_a^5)
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Power Number - Power Number Nₚ is a commonly used dimensionless number relating the resistance force to the inertia force.
Power - (Measured in Watt) - Power is the amount of energy transferred or converted per unit time.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid is mass of a unit volume of a material substance.
Speed of Agitator - (Measured in Revolution per Minute) - 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.
Agitator Diameter - (Measured in Meter) - Agitator Diameter usually depends on the Diameter of the vessel it is generally 1/3rd the diameter of the tank.

STEP 1: Convert Input(s) to Base Unit

Power: 12.5 Watt --> 12.5 Watt No Conversion Required
Density of Liquid: 4 Kilogram per Cubic Meter --> 4 Kilogram per Cubic Meter No Conversion Required
Speed of Agitator: 101 Revolution per Minute --> 101 Revolution per Minute No Conversion Required
Agitator Diameter: 150 Millimeter --> 0.15 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_p = P*[g]/(ρ_l*((N/60)^3)*D_a^5) --> 12.5*[g]/(4*((101/60)^3)*0.15^5)

Evaluating ... ...

N_p = 84606.5588815523

STEP 3: Convert Result to Output's Unit

84606.5588815523 --> No Conversion Required

FINAL ANSWER

84606.5588815523 ≈ 84606.56 <-- Power Number

(Calculation completed in 00.004 seconds)

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< Power Requirements for Agitation Calculators

Power Required for Agitator

LaTeX Go Power = (Power Number*Density of Liquid*(((Speed of Agitator)/(60))^3)*(Agitator Diameter^5))/([g]*75)

Power Number

LaTeX Go Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5)

Reynolds Number

LaTeX Go Reynolds Number = (Density of Liquid*Fluid Velocity*Diameter of Pipe)/Dynamic Viscosity

Froude Number

LaTeX Go Froude Number = Inertia Force/Gravity Force

Power Number Formula

LaTeX Go

Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5)
N_p = P*[g]/(ρ_l*((N/60)^3)*D_a^5)

What is Dimensionless Number?

Dimensionless numbers in fluid mechanics are a set of dimensionless quantities that have an important role in analyzing the behavior of fluids.

How to Calculate Power Number?

Power Number calculator uses Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5) to calculate 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 calculate Power Number using this online calculator? To use this online calculator for Power Number, enter Power (P), Density of Liquid (ρ_l), Speed of Agitator (N) & Agitator Diameter (D_a) and hit the calculate button. Here is how the Power Number calculation can be explained with given input values -> 84606.56 = 12.5*[g]/(4*((10.576695266547/60)^3)*0.15^5).

FAQ

What is 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 and is represented as N_p = P*[g]/(ρ_l*((N/60)^3)*D_a^5) or Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5). Power is the amount of energy transferred or converted per unit time, Density of Liquid is mass of a unit volume of a material substance, 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 & Agitator Diameter usually depends on the Diameter of the vessel it is generally 1/3rd the diameter of the tank.

How to calculate 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 is calculated using Power Number = Power*[g]/(Density of Liquid*((Speed of Agitator/60)^3)*Agitator Diameter^5). To calculate Power Number, you need Power (P), Density of Liquid (ρ_l), Speed of Agitator (N) & Agitator Diameter (D_a). With our tool, you need to enter the respective value for Power, Density of Liquid, Speed of Agitator & Agitator Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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