Tip Velocity of Impeller given Mean Diameter Calculator

✖Mean Diameter of Impeller is the diameter that divides the total annular area into two equal parts.ⓘ Mean Diameter of Impeller [D_m]			+10% -10%
✖Impeller Hub Diameter is the distance of the hub (where the blade roots are mounted) from the center of the shaft.ⓘ Impeller Hub Diameter [D_h]			+10% -10%
✖RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).ⓘ RPM [N]			+10% -10%

✖Tip Velocity is blade speed at the tip of the compressor.ⓘ Tip Velocity of Impeller given Mean Diameter [U_t]

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Tip Velocity of Impeller given Mean Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60
U_t = pi*(2*D_m^2-D_h^2)^0.5*N/60
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Tip Velocity - (Measured in Meter per Second) - Tip Velocity is blade speed at the tip of the compressor.
Mean Diameter of Impeller - (Measured in Meter) - Mean Diameter of Impeller is the diameter that divides the total annular area into two equal parts.
Impeller Hub Diameter - (Measured in Meter) - Impeller Hub Diameter is the distance of the hub (where the blade roots are mounted) from the center of the shaft.
RPM - RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).

STEP 1: Convert Input(s) to Base Unit

Mean Diameter of Impeller: 0.53 Meter --> 0.53 Meter No Conversion Required
Impeller Hub Diameter: 0.5 Meter --> 0.5 Meter No Conversion Required
RPM: 17000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_t = pi*(2*D_m^2-D_h^2)^0.5*N/60 --> pi*(2*0.53^2-0.5^2)^0.5*17000/60

Evaluating ... ...

U_t = 497.033429040923

STEP 3: Convert Result to Output's Unit

497.033429040923 Meter per Second --> No Conversion Required

FINAL ANSWER

497.033429040923 ≈ 497.0334 Meter per Second <-- Tip Velocity

(Calculation completed in 00.020 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Compressor Calculators

Tip Velocity of Impeller given Mean Diameter

LaTeX Go Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60

Mean Diameter of Impeller

LaTeX Go Mean Diameter of Impeller = sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)

Degree of Reaction for Compressor

LaTeX Go Degree of Reaction = (Enthalpy Increase in Rotor)/(Enthalpy Increase in Stage)

Isentropic Efficiency of Compression Machine

LaTeX Go Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input

Tip Velocity of Impeller given Mean Diameter Formula

LaTeX Go

Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60
U_t = pi*(2*D_m^2-D_h^2)^0.5*N/60

What is impeller?

Impeller is a rotating component of a centrifugal pump that accelerates fluid outward from the center of rotation, thus transferring energy from the motor that drives the pump to the fluid being pumped.

How to Calculate Tip Velocity of Impeller given Mean Diameter?

Tip Velocity of Impeller given Mean Diameter calculator uses Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60 to calculate the Tip Velocity, Tip Velocity of Impeller given Mean Diameter calculates the velocity at the impeller tip based on the impeller's rotational speed and mean diameter. This formula derives the tip velocity using the mean diameter and rotational speed, considering the geometric configuration of the impeller. Tip Velocity is denoted by U_t symbol.

How to calculate Tip Velocity of Impeller given Mean Diameter using this online calculator? To use this online calculator for Tip Velocity of Impeller given Mean Diameter, enter Mean Diameter of Impeller (D_m), Impeller Hub Diameter (D_h) & RPM (N) and hit the calculate button. Here is how the Tip Velocity of Impeller given Mean Diameter calculation can be explained with given input values -> 497.0334 = pi*(2*0.53^2-0.5^2)^0.5*17000/60.

FAQ

What is Tip Velocity of Impeller given Mean Diameter?

Tip Velocity of Impeller given Mean Diameter calculates the velocity at the impeller tip based on the impeller's rotational speed and mean diameter. This formula derives the tip velocity using the mean diameter and rotational speed, considering the geometric configuration of the impeller and is represented as U_t = pi*(2*D_m^2-D_h^2)^0.5*N/60 or Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60. Mean Diameter of Impeller is the diameter that divides the total annular area into two equal parts, Impeller Hub Diameter is the distance of the hub (where the blade roots are mounted) from the center of the shaft & RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).

How to calculate Tip Velocity of Impeller given Mean Diameter?

Tip Velocity of Impeller given Mean Diameter calculates the velocity at the impeller tip based on the impeller's rotational speed and mean diameter. This formula derives the tip velocity using the mean diameter and rotational speed, considering the geometric configuration of the impeller is calculated using Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60. To calculate Tip Velocity of Impeller given Mean Diameter, you need Mean Diameter of Impeller (D_m), Impeller Hub Diameter (D_h) & RPM (N). With our tool, you need to enter the respective value for Mean Diameter of Impeller, Impeller Hub Diameter & RPM and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Tip Velocity?

In this formula, Tip Velocity uses Mean Diameter of Impeller, Impeller Hub Diameter & RPM. We can use 1 other way(s) to calculate the same, which is/are as follows -

Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)

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