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)
Ut = pi*N/60*sqrt((Dt^2+Dh^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.
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: 0.4 Meter --> 0.4 Meter No Conversion Required
Impeller Hub Diameter: 0.1 Meter --> 0.1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ut = pi*N/60*sqrt((Dt^2+Dh^2)/2) --> pi*17000/60*sqrt((0.4^2+0.1^2)/2)
Evaluating ... ...
Ut = 259.511738180654
STEP 3: Convert Result to Output's Unit
259.511738180654 Meter per Second --> No Conversion Required
FINAL ANSWER
259.511738180654 259.5117 Meter per Second <-- Tip Velocity
(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad
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14 Compressor Calculators

Efficiency of compressor in actual gas turbine cycle
Go Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet)
Minimum Temperature Ratio
Go Temperature Ratio = (Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio))/(Isentropic Efficiency of Compressor*Efficiency of Turbine)
Efficiency of Compressor given Enthalpy
Go Isentropic Efficiency of Compressor = (Ideal Enthalpy after Compression-Enthalpy at Compressor Inlet)/(Actual Enthalpy after Compression-Enthalpy at Compressor Inlet)
Work Required to Drive Compressor Including Mechanical Losses
Go Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Shaft Work in Compressible Flow Machines
Go Shaft Work = (Enthalpy at Compressor Inlet+Compressor Inlet Velocity^2/2)-(Enthalpy at Exit of Compressor+Compressor Exit Velocity^2/2)
Tip Velocity of Impeller given Hub Diameter
Go Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Compressor Work in Gas Turbine given Temperature
Go Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Tip Velocity of Impeller given Mean Diameter
Go Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60
Mean Diameter of Impeller
Go Mean Diameter of Impeller = sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Impeller Outlet Diameter
Go Impeller Tip Diameter = (60*Tip Velocity)/(pi*RPM)
Degree of Reaction for Compressor
Go Degree of Reaction = (Enthalpy Increase in Rotor)/(Enthalpy Increase in Stage)
Isentropic Efficiency of Compression Machine
Go Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input
Compressor work
Go Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet
Shaft Work in Compressible Flow Machines neglecting Inlet and Exit Velocities
Go Shaft Work = Enthalpy at Compressor Inlet-Enthalpy at Exit of Compressor

Tip Velocity of Impeller given Hub Diameter Formula

Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Ut = pi*N/60*sqrt((Dt^2+Dh^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 formula is defined as the product of π, speed of driving machine and square root of half of sum of squares of impeller tip diameter and hub diameter of inlet. Tip Velocity is denoted by Ut 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 (Dt) & Impeller Hub Diameter (Dh) and hit the calculate button. Here is how the Tip Velocity of Impeller given Hub Diameter calculation can be explained with given input values -> 259.5117 = pi*17000/60*sqrt((0.4^2+0.1^2)/2).

FAQ

What is Tip Velocity of Impeller given Hub Diameter?
The Tip velocity of impeller given hub diameter formula is defined as the product of π, speed of driving machine and square root of half of sum of squares of impeller tip diameter and hub diameter of inlet and is represented as Ut = pi*N/60*sqrt((Dt^2+Dh^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 formula is defined as the product of π, speed of driving machine and square root of half of sum of squares of impeller tip diameter and hub diameter of inlet 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 (Dt) & Impeller Hub Diameter (Dh). 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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