Tip Velocity of Impeller given Hub Diameter Calculator

✖RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).ⓘ RPM [N]			+10% -10%
✖Impeller Tip Diameter is the distance of the tip from the center of the shaft.ⓘ Impeller Tip Diameter [D_t]			+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%

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

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Tip Velocity of Impeller given Hub Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
U_t = pi*N/60*sqrt((D_t^2+D_h^2)/2)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Tip Velocity - (Measured in Meter per Second) - Tip Velocity is blade speed at the tip of the compressor.
RPM - RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).
Impeller Tip Diameter - (Measured in Meter) - Impeller Tip Diameter is the distance of the tip from the center of the shaft.
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.

STEP 1: Convert Input(s) to Base Unit

RPM: 17000 --> No Conversion Required
Impeller Tip Diameter: 0.57 Meter --> 0.57 Meter No Conversion Required
Impeller Hub Diameter: 0.5 Meter --> 0.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_t = pi*N/60*sqrt((D_t^2+D_h^2)/2) --> pi*17000/60*sqrt((0.57^2+0.5^2)/2)

Evaluating ... ...

U_t = 477.23105861135

STEP 3: Convert Result to Output's Unit

477.23105861135 Meter per Second --> No Conversion Required

FINAL ANSWER

477.23105861135 ≈ 477.2311 Meter per Second <-- Tip Velocity

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

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 Hub Diameter Formula

LaTeX Go

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

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 Hub Diameter?

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

How to calculate Tip Velocity of Impeller given Hub Diameter using this online calculator? To use this online calculator for Tip Velocity of Impeller given Hub Diameter, enter RPM (N), Impeller Tip Diameter (D_t) & Impeller Hub Diameter (D_h) and hit the calculate button. Here is how the Tip Velocity of Impeller given Hub Diameter calculation can be explained with given input values -> 477.2311 = pi*17000/60*sqrt((0.57^2+0.5^2)/2).

FAQ

What is Tip Velocity of Impeller given Hub Diameter?

The Tip Velocity of Impeller given Hub Diameter, calculates the velocity at the impeller tip based on the impeller's rotational speed and geometric dimensions. This formula derives the tip velocity by considering the impeller tip diameter, hub diameter, and rotational speed and is represented as U_t = pi*N/60*sqrt((D_t^2+D_h^2)/2) or Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2). RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm), Impeller Tip Diameter is the distance of the tip from the center of the shaft & Impeller Hub Diameter is the distance of the hub (where the blade roots are mounted) from the center of the shaft.

How to calculate Tip Velocity of Impeller given Hub Diameter?

The Tip Velocity of Impeller given Hub Diameter, calculates the velocity at the impeller tip based on the impeller's rotational speed and geometric dimensions. This formula derives the tip velocity by considering the impeller tip diameter, hub diameter, and rotational speed is calculated using Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2). To calculate Tip Velocity of Impeller given Hub Diameter, you need RPM (N), Impeller Tip Diameter (D_t) & Impeller Hub Diameter (D_h). With our tool, you need to enter the respective value for RPM, Impeller Tip Diameter & Impeller Hub Diameter 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 RPM, Impeller Tip Diameter & Impeller Hub Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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