Speed of Bucket given Angular Velocity and Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bucket Velocity = Angular Velocity*Bucket Circle Diameter/2
Vb = ω*Db/2
This formula uses 3 Variables
Variables Used
Bucket Velocity - (Measured in Meter per Second) - Bucket velocity refers to the velocity of the water as it passes through the turbine buckets.
Angular Velocity - (Measured in Radian per Second) - Angular velocity is the rate at which the turbines are rotating, measured in radians per second or revolutions per minute (RPM).
Bucket Circle Diameter - (Measured in Meter) - Bucket circle diameter is the diameter of the circle that is formed by the tips of the turbine blades or buckets as they rotate.
STEP 1: Convert Input(s) to Base Unit
Angular Velocity: 3.83 Radian per Second --> 3.83 Radian per Second No Conversion Required
Bucket Circle Diameter: 1.23 Meter --> 1.23 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vb = ω*Db/2 --> 3.83*1.23/2
Evaluating ... ...
Vb = 2.35545
STEP 3: Convert Result to Output's Unit
2.35545 Meter per Second --> No Conversion Required
FINAL ANSWER
2.35545 Meter per Second <-- Bucket Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Nisarg
Indian Institute of Technology,Roorlee (IITR), Roorkee
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Chandigarh University (CU), Punjab
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23 Hydroelectric Power Plant Calculators

Dimensionless Specific Speed
Go Dimensionless Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/(sqrt(Water Density)*([g]*Fall Height)^(5/4))
Efficiency of Turbine given Energy
Go Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year)
Energy Produced by Hydroelectric Power Plant
Go Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year
Specific Speed of Turbine of Hydroelectric Power Plant
Go Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/Fall Height^(5/4)
Velocity of Jet from Nozzle
Go Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height)
Head or Height of Fall of Water given Power
Go Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate)
Specific Speed of Single Jet Machine
Go Specific Speed of Single Jet Machine = Specific Speed of Multi Jet Machine/sqrt(Number of Jets)
Specific Speed of Multi Jet Machine
Go Specific Speed of Multi Jet Machine = sqrt(Number of Jets)*Specific Speed of Single Jet Machine
Flow Rate of Water given Power
Go Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height)
Tidal Energy
Go Tidal Power = 0.5*Area of Base*Water Density*[g]*Fall Height^2
Hydroelectric Power
Go Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height
Energy Produced by Hydroelectric Power Plant given Power
Go Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year
Height of Fall of Pelton Wheel Turbine Power Plant
Go Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2)
Diameter of Bucket
Go Bucket Circle Diameter = (60*Bucket Velocity)/(pi*Working Speed)
Speed of Bucket given Diameter and RPM
Go Bucket Velocity = (pi*Bucket Circle Diameter*Working Speed)/60
Number of Jets
Go Number of Jets = (Specific Speed of Multi Jet Machine/Specific Speed of Single Jet Machine)^2
Unit Speed of Turbine
Go Unit Speed = (Working Speed)/sqrt(Fall Height)
Speed of Turbine given Unit Speed
Go Working Speed = Unit Speed*sqrt(Fall Height)
Speed of Bucket given Angular Velocity and Radius
Go Bucket Velocity = Angular Velocity*Bucket Circle Diameter/2
Unit Power of Hydroelectric Power Plant
Go Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2)
Power given Unit Power
Go Hydroelectric Power = Unit Power*1000*Fall Height^(3/2)
Jet Ratio of Hydroelectric Power Plant
Go Jet Ratio = Bucket Circle Diameter/Nozzle Diameter
Angular Velocity of Wheel
Go Angular Velocity = (2*pi*Working Speed)/60

Speed of Bucket given Angular Velocity and Radius Formula

Bucket Velocity = Angular Velocity*Bucket Circle Diameter/2
Vb = ω*Db/2

What is the range of speed of Hydro Power Plant?

Most hydro power plants use either Francis, Kaplan, or Pelton turbines, each of which has a different operating range. Generally speaking, Francis turbines operate at speeds between 100 and 600 revolutions per minute (rpm), while Kaplan turbines operate at speeds between 100 and 250 rpm. Pelton turbines, on the other hand, operate at much higher speeds, typically between 500 and 1,500 rpm.

How to Calculate Speed of Bucket given Angular Velocity and Radius?

Speed of Bucket given Angular Velocity and Radius calculator uses Bucket Velocity = Angular Velocity*Bucket Circle Diameter/2 to calculate the Bucket Velocity, The Speed of Bucket given Angular Velocity and Radius formula is defined as the tangential velocity of the bucket attached on the wheel. Bucket Velocity is denoted by Vb symbol.

How to calculate Speed of Bucket given Angular Velocity and Radius using this online calculator? To use this online calculator for Speed of Bucket given Angular Velocity and Radius, enter Angular Velocity (ω) & Bucket Circle Diameter (Db) and hit the calculate button. Here is how the Speed of Bucket given Angular Velocity and Radius calculation can be explained with given input values -> 2.35545 = 3.83*1.23/2.

FAQ

What is Speed of Bucket given Angular Velocity and Radius?
The Speed of Bucket given Angular Velocity and Radius formula is defined as the tangential velocity of the bucket attached on the wheel and is represented as Vb = ω*Db/2 or Bucket Velocity = Angular Velocity*Bucket Circle Diameter/2. Angular velocity is the rate at which the turbines are rotating, measured in radians per second or revolutions per minute (RPM) & Bucket circle diameter is the diameter of the circle that is formed by the tips of the turbine blades or buckets as they rotate.
How to calculate Speed of Bucket given Angular Velocity and Radius?
The Speed of Bucket given Angular Velocity and Radius formula is defined as the tangential velocity of the bucket attached on the wheel is calculated using Bucket Velocity = Angular Velocity*Bucket Circle Diameter/2. To calculate Speed of Bucket given Angular Velocity and Radius, you need Angular Velocity (ω) & Bucket Circle Diameter (Db). With our tool, you need to enter the respective value for Angular Velocity & Bucket Circle 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 Bucket Velocity?
In this formula, Bucket Velocity uses Angular Velocity & Bucket Circle Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Bucket Velocity = (pi*Bucket Circle Diameter*Working Speed)/60
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