Angular Velocity of Wheel Calculator

✖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.ⓘ Working Speed [N]

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✖Angular velocity is the rate at which the turbines are rotating, measured in radians per second or revolutions per minute (RPM).ⓘ Angular Velocity of Wheel [ω]

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Formula

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Angular Velocity of Wheel

Formula

`"ω" = (2*pi*"N")/60`

Example

`"3.838179rad/s"=(2*pi*"350rev/min")/60`

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Angular Velocity of Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = (2*pi*Working Speed)/60
ω = (2*pi*N)/60
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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).
Working Speed - (Measured in Radian per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Working Speed: 350 Revolution per Minute --> 36.6519142900145 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = (2*pi*N)/60 --> (2*pi*36.6519142900145)/60

Evaluating ... ...

ω = 3.83817948911708

STEP 3: Convert Result to Output's Unit

3.83817948911708 Radian per Second --> No Conversion Required

FINAL ANSWER

3.83817948911708 ≈ 3.838179 Radian per Second <-- Angular Velocity

(Calculation completed in 00.004 seconds)

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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

Angular Velocity of Wheel Formula

Angular Velocity = (2*pi*Working Speed)/60
ω = (2*pi*N)/60

What is a Hydroelectric Power Plant?

A hydroelectric power plant is a facility that generates electricity by harnessing the energy of falling water. The basic components of a hydroelectric power plant include a dam, reservoir, turbine, generator, and transmission lines.

What is the significance of Hydroelectric Power Plant?

Hydroelectric power plants are significant because they provide a reliable, cost-effective, and clean source of renewable energy, reducing reliance on fossil fuels. They also offer energy security, flexibility, and environmental benefits, such as flood control and recreation opportunities.

How to Calculate Angular Velocity of Wheel?

Angular Velocity of Wheel calculator uses Angular Velocity = (2*pi*Working Speed)/60 to calculate the Angular Velocity, The Angular Velocity of Wheel formula is defined as the rotational speed of the wheel on which the buckets are mounted. Angular Velocity is denoted by ω symbol.

How to calculate Angular Velocity of Wheel using this online calculator? To use this online calculator for Angular Velocity of Wheel, enter Working Speed (N) and hit the calculate button. Here is how the Angular Velocity of Wheel calculation can be explained with given input values -> 3.838179 = (2*pi*36.6519142900145)/60.

FAQ

What is Angular Velocity of Wheel?

The Angular Velocity of Wheel formula is defined as the rotational speed of the wheel on which the buckets are mounted and is represented as ω = (2*pi*N)/60 or Angular Velocity = (2*pi*Working Speed)/60. 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.

How to calculate Angular Velocity of Wheel?

The Angular Velocity of Wheel formula is defined as the rotational speed of the wheel on which the buckets are mounted is calculated using Angular Velocity = (2*pi*Working Speed)/60. To calculate Angular Velocity of Wheel, you need Working Speed (N). With our tool, you need to enter the respective value for Working Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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