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Diameter of Bucket Formula

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Bucket circle diameter is the diameter of the circle that is formed by the tips of the turbine blades or buckets as they rotate. Check FAQs

D b = \frac{60 \cdot V b}{π \cdot N}

D_b - Bucket Circle Diameter?V_b - Bucket Velocity?N - Working Speed?π - Archimedes' constant?

Diameter of Bucket Example

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Here is how the Diameter of Bucket equation looks like with Values.

Here is how the Diameter of Bucket equation looks like with Units.

Here is how the Diameter of Bucket equation looks like.

1.2297 = \frac{60 \cdot 2.36}{3.1416 \cdot 350}

1.2297m = \frac{60 \cdot 2.36m/s}{3.1416 \cdot 350rev/min}

1.2297 = \frac{60 \cdot 2.36}{3.1416 \cdot 350}

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Diameter of Bucket Solution

Follow our step by step solution on how to calculate Diameter of Bucket?

FIRST Step Consider the formula

D b = \frac{60 \cdot V b}{π \cdot N}

Next Step Substitute values of Variables

∴

D b = \frac{60 \cdot 2.36m/s}{π \cdot 350rev/min}

Next Step Substitute values of Constants

∴

D b = \frac{60 \cdot 2.36m/s}{3.1416 \cdot 350rev/min}

Next Step Convert Units

∴

D b = \frac{60 \cdot 2.36m/s}{3.1416 \cdot 36.6519rad/s}

Next Step Prepare to Evaluate

∴

D b = \frac{60 \cdot 2.36}{3.1416 \cdot 36.6519}

Next Step Evaluate

∴

D b = 1.22974968038448m

LAST Step Rounding Answer

∴

D b = 1.2297m

Diameter of Bucket Formula Elements

Variables

Constants

Bucket Circle Diameter

Bucket circle diameter is the diameter of the circle that is formed by the tips of the turbine blades or buckets as they rotate.

Symbol: D_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Bucket Circle Diameter

Bucket Velocity

Bucket velocity refers to the velocity of the water as it passes through the turbine buckets.

Symbol: V_b

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Bucket Velocity

Working Speed

Working speed of a hydroelectric plant depends on various factors such as the design of the plant, the type of turbines used, the head and flow rate of water, and the desired electrical output.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Working Speed

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 in Hydroelectric Power Plant category

Go Energy Produced by Hydroelectric Power Plant

E = [g] \cdot ρ w \cdot Q \cdot H \cdot η \cdot t

Go Energy Produced by Hydroelectric Power Plant given Power

E = P h \cdot η \cdot t

Go Head or Height of Fall of Water given Power

H = \frac{P h}{[g] \cdot ρ w \cdot Q}

Go Flow Rate of Water given Power

Q = \frac{P h}{[g] \cdot ρ w \cdot H}

How to Evaluate Diameter of Bucket?

Diameter of Bucket evaluator uses Bucket Circle Diameter = (60*Bucket Velocity)/(pi*Working Speed) to evaluate the Bucket Circle Diameter, The Diameter of Bucket formula is defined as the diameter of the buckets used in the wheel of hydroelectric power plant. Bucket Circle Diameter is denoted by D_b symbol.

How to evaluate Diameter of Bucket using this online evaluator? To use this online evaluator for Diameter of Bucket, enter Bucket Velocity (V_b) & Working Speed (N) and hit the calculate button.

FAQs on Diameter of Bucket

What is the formula to find Diameter of Bucket?

The formula of Diameter of Bucket is expressed as Bucket Circle Diameter = (60*Bucket Velocity)/(pi*Working Speed). Here is an example- 1.22975 = (60*2.36)/(pi*36.6519142900145).

How to calculate Diameter of Bucket?

With Bucket Velocity (V_b) & Working Speed (N) we can find Diameter of Bucket using the formula - Bucket Circle Diameter = (60*Bucket Velocity)/(pi*Working Speed). This formula also uses Archimedes' constant .

Can the Diameter of Bucket be negative?

No, the Diameter of Bucket, measured in Length cannot be negative.

Which unit is used to measure Diameter of Bucket?

Diameter of Bucket is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Bucket can be measured.

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Diameter of Bucket Formula

Diameter of Bucket Example

Diameter of Bucket Solution

Diameter of Bucket Formula Elements

Other formulas in Hydroelectric Power Plant category

How to Evaluate Diameter of Bucket?

FAQs on Diameter of Bucket

Variable Name