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Tip Velocity of Impeller given Hub Diameter Formula

GoTip Velocity of Impeller given Mean Diameter Formula

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Tip Velocity is blade speed at the tip of the compressor. Check FAQs

U t = π \cdot \frac{N}{60} \cdot \sqrt{\frac{{D t}^{2} + {D h}^{2}}{2}}

U_t - Tip Velocity?N - RPM?D_t - Impeller Tip Diameter?D_h - Impeller Hub Diameter?π - Archimedes' constant?

Tip Velocity of Impeller given Hub Diameter Example

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Here is how the Tip Velocity of Impeller given Hub Diameter equation looks like with Values.

Here is how the Tip Velocity of Impeller given Hub Diameter equation looks like with Units.

Here is how the Tip Velocity of Impeller given Hub Diameter equation looks like.

477.2311 = 3.1416 \cdot \frac{17000}{60} \cdot \sqrt{\frac{{0.57}^{2} + {0.5}^{2}}{2}}

477.2311m/s = 3.1416 \cdot \frac{17000}{60} \cdot \sqrt{\frac{{0.57m}^{2} + {0.5m}^{2}}{2}}

477.2311 = 3.1416 \cdot \frac{17000}{60} \cdot \sqrt{\frac{{0.57}^{2} + {0.5}^{2}}{2}}

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Tip Velocity of Impeller given Hub Diameter Solution

Follow our step by step solution on how to calculate Tip Velocity of Impeller given Hub Diameter?

FIRST Step Consider the formula

U t = π \cdot \frac{N}{60} \cdot \sqrt{\frac{{D t}^{2} + {D h}^{2}}{2}}

Next Step Substitute values of Variables

∴

U t = π \cdot \frac{17000}{60} \cdot \sqrt{\frac{{0.57m}^{2} + {0.5m}^{2}}{2}}

Next Step Substitute values of Constants

∴

U t = 3.1416 \cdot \frac{17000}{60} \cdot \sqrt{\frac{{0.57m}^{2} + {0.5m}^{2}}{2}}

Next Step Prepare to Evaluate

∴

U t = 3.1416 \cdot \frac{17000}{60} \cdot \sqrt{\frac{{0.57}^{2} + {0.5}^{2}}{2}}

Next Step Evaluate

∴

U t = 477.23105861135m/s

LAST Step Rounding Answer

∴

U t = 477.2311m/s

Tip Velocity of Impeller given Hub Diameter Formula Elements

Variables

Constants

Functions

Tip Velocity

Tip Velocity is blade speed at the tip of the compressor.

Symbol: U_t

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Tip Velocity

RPM

RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find RPM

Impeller Tip Diameter

Impeller Tip Diameter is the distance of the tip from the center of the shaft.

Symbol: D_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Impeller Tip Diameter

Impeller Hub Diameter

Impeller Hub Diameter is the distance of the hub (where the blade roots are mounted) from the center of the shaft.

Symbol: D_h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Impeller Hub Diameter

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Tip Velocity

Go Tip Velocity of Impeller given Mean Diameter

U t = π \cdot {(2 \cdot {D m}^{2} - {D h}^{2})}^{0.5} \cdot \frac{N}{60}

Other formulas in Compressor category

Go Degree of Reaction for Compressor

R = \frac{ΔE rotor increase}{ΔE stage increase}

Go Isentropic Efficiency of Compression Machine

η C = \frac{W s,in}{W in}

Go Mean Diameter of Impeller

D m = \sqrt{\frac{{D t}^{2} + {D h}^{2}}{2}}

Go Impeller Outlet Diameter

D t = \frac{60 \cdot U t}{π \cdot N}

How to Evaluate Tip Velocity of Impeller given Hub Diameter?

Tip Velocity of Impeller given Hub Diameter evaluator uses Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2) to evaluate 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 evaluate Tip Velocity of Impeller given Hub Diameter using this online evaluator? To use this online evaluator 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.

FAQs on Tip Velocity of Impeller given Hub Diameter

What is the formula to find Tip Velocity of Impeller given Hub Diameter?

The formula of Tip Velocity of Impeller given Hub Diameter is expressed as Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2). Here is an example- 477.2311 = pi*17000/60*sqrt((0.57^2+0.5^2)/2).

How to calculate Tip Velocity of Impeller given Hub Diameter?

With RPM (N), Impeller Tip Diameter (D_t) & Impeller Hub Diameter (D_h) we can find Tip Velocity of Impeller given Hub Diameter using the formula - Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2). This formula also uses Archimedes' constant and Square Root Function function(s).

What are the other ways to Calculate Tip Velocity?

Here are the different ways to Calculate Tip Velocity-

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

Can the Tip Velocity of Impeller given Hub Diameter be negative?

No, the Tip Velocity of Impeller given Hub Diameter, measured in Speed cannot be negative.

Which unit is used to measure Tip Velocity of Impeller given Hub Diameter?

Tip Velocity of Impeller given Hub Diameter is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Tip Velocity of Impeller given Hub Diameter can be measured.

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Tip Velocity of Impeller given Hub Diameter Formula

​GoTip Velocity of Impeller given Mean Diameter Formula

Tip Velocity of Impeller given Hub Diameter Example

Tip Velocity of Impeller given Hub Diameter Solution

Tip Velocity of Impeller given Hub Diameter Formula Elements

Other Formulas to find Tip Velocity

Other formulas in Compressor category

How to Evaluate Tip Velocity of Impeller given Hub Diameter?

FAQs on Tip Velocity of Impeller given Hub Diameter

Variable Name

GoTip Velocity of Impeller given Mean Diameter Formula