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Tip Velocity of Impeller given Mean Diameter Formula

GoTip Velocity of Impeller given Hub Diameter Formula

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

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

U_t - Tip Velocity?D_m - Mean Diameter of Impeller?D_h - Impeller Hub Diameter?N - RPM?π - Archimedes' constant?

Tip Velocity of Impeller given Mean Diameter Example

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

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

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

497.0334 = 3.1416 \cdot {(2 \cdot {0.53}^{2} - {0.5}^{2})}^{0.5} \cdot \frac{17000}{60}

497.0334m/s = 3.1416 \cdot {(2 \cdot {0.53m}^{2} - {0.5m}^{2})}^{0.5} \cdot \frac{17000}{60}

497.0334 = 3.1416 \cdot {(2 \cdot {0.53}^{2} - {0.5}^{2})}^{0.5} \cdot \frac{17000}{60}

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Tip Velocity of Impeller given Mean Diameter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

U t = π \cdot {(2 \cdot {0.53m}^{2} - {0.5m}^{2})}^{0.5} \cdot \frac{17000}{60}

Next Step Substitute values of Constants

∴

U t = 3.1416 \cdot {(2 \cdot {0.53m}^{2} - {0.5m}^{2})}^{0.5} \cdot \frac{17000}{60}

Next Step Prepare to Evaluate

∴

U t = 3.1416 \cdot {(2 \cdot {0.53}^{2} - {0.5}^{2})}^{0.5} \cdot \frac{17000}{60}

Next Step Evaluate

∴

U t = 497.033429040923m/s

LAST Step Rounding Answer

∴

U t = 497.0334m/s

Tip Velocity of Impeller given Mean Diameter Formula Elements

Variables

Constants

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

Mean Diameter of Impeller

Mean Diameter of Impeller is the diameter that divides the total annular area into two equal parts.

Symbol: D_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Impeller

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

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

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

Other Formulas to find Tip Velocity

Go Tip Velocity of Impeller given Hub Diameter

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

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 Mean Diameter?

Tip Velocity of Impeller given Mean Diameter evaluator uses Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60 to evaluate 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 evaluate Tip Velocity of Impeller given Mean Diameter using this online evaluator? To use this online evaluator 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.

FAQs on Tip Velocity of Impeller given Mean Diameter

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

The formula of Tip Velocity of Impeller given Mean Diameter is expressed as Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60. Here is an example- 497.0334 = pi*(2*0.53^2-0.5^2)^0.5*17000/60.

How to calculate Tip Velocity of Impeller given Mean Diameter?

With Mean Diameter of Impeller (D_m), Impeller Hub Diameter (D_h) & RPM (N) we can find Tip Velocity of Impeller given Mean Diameter using the formula - Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60. This formula also uses Archimedes' constant .

What are the other ways to Calculate Tip Velocity?

Here are the different ways to Calculate Tip Velocity-

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

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

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

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

Tip Velocity of Impeller given Mean 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 Mean Diameter can be measured.

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Tip Velocity of Impeller given Mean Diameter Formula

​GoTip Velocity of Impeller given Hub Diameter Formula

Tip Velocity of Impeller given Mean Diameter Example

Tip Velocity of Impeller given Mean Diameter Solution

Tip Velocity of Impeller given Mean Diameter Formula Elements

Other Formulas to find Tip Velocity

Other formulas in Compressor category

How to Evaluate Tip Velocity of Impeller given Mean Diameter?

FAQs on Tip Velocity of Impeller given Mean Diameter

Variable Name

GoTip Velocity of Impeller given Hub Diameter Formula