Speed of Wheel given Tangential Velocity at Outlet Tip of Vane Calculator

✖Tangential Velocity is the linear speed of any object moving along a circular path.ⓘ Tangential Velocity [v_tangential]			+10% -10%
✖Radius of Outlet refers to the distance from the center of the outlet to its outer edge.ⓘ Radius of Outlet [r_O]			+10% -10%

✖Angular Speed is defined as the rate of change of angular displacement.ⓘ Speed of Wheel given Tangential Velocity at Outlet Tip of Vane [Ω]

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Formula

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Speed of Wheel given Tangential Velocity at Outlet Tip of Vane

Formula

`"Ω" = ("v"_{"tangential"}*60)/(2*pi*"r"_{"O"})`

Example

`"0.795775rev/s"=("60m/s"*60)/(2*pi*"12m")`

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Speed of Wheel given Tangential Velocity at Outlet Tip of Vane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of Outlet)
Ω = (v_tangential*60)/(2*pi*r_O)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Angular Speed - (Measured in Revolution per Minute) - Angular Speed is defined as the rate of change of angular displacement.
Tangential Velocity - (Measured in Meter per Second) - Tangential Velocity is the linear speed of any object moving along a circular path.
Radius of Outlet - (Measured in Meter) - Radius of Outlet refers to the distance from the center of the outlet to its outer edge.

STEP 1: Convert Input(s) to Base Unit

Tangential Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Radius of Outlet: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ω = (v_tangential*60)/(2*pi*r_O) --> (60*60)/(2*pi*12)

Evaluating ... ...

Ω = 47.7464829275686

STEP 3: Convert Result to Output's Unit

4.99999999974538 Radian per Second -->0.795774715459476 Revolution per Second (Check conversion here)

FINAL ANSWER

0.795774715459476 ≈ 0.795775 Revolution per Second <-- Angular Speed

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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National Institute of Technology Karnataka (NITK), Surathkal

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< 21 Torque Exerted on a Wheel with Radial Curved Vanes Calculators

Radius at Outlet for Work Done on Wheel per Second

Go Radius of Outlet = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-(Final Velocity*Radius of wheel))/Velocity of Jet

Radius at Inlet for Work Done on Wheel per Second

Go Radius of wheel = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-(Velocity of Jet*Radius of Outlet))/Final Velocity

Angular Velocity for Work Done on Wheel per Second

Go Angular Velocity = (Work Done*Specific Gravity of Fluid)/(Weight of Fluid*(Final Velocity*Radius of wheel+Velocity of Jet*Radius of Outlet))

Radius at Outlet for Torque Exerted by Fluid

Go Radius of Outlet = (((Torque Exerted on Wheel*Specific Gravity of Fluid)/Weight of Fluid)-(Final Velocity*Radius of wheel))/Velocity of Jet

Radius at Inlet with Known Torque by Fluid

Go Radius of wheel = (((Torque Exerted on Wheel*Specific Gravity of Fluid)/Weight of Fluid)+(Velocity of Jet*Radius of Outlet))/Final Velocity

Torque Exerted by Fluid

Go Torque Exerted on Wheel = (Weight of Fluid/Specific Gravity of Fluid)*(Final Velocity*Radius of wheel+Velocity of Jet*Radius of Outlet)

Initial Velocity for Work Done if Jet leaves in Motion of Wheel

Go Initial Velocity = (((Power Delivered*Specific Gravity of Fluid)/Weight of Fluid)+(Velocity of Jet*Final Velocity))/Final Velocity

Power Delivered to Wheel

Go Power Delivered = (Weight of Fluid/Specific Gravity of Fluid)*(Final Velocity*Initial Velocity+Velocity of Jet*Final Velocity)

Initial Velocity given Power Delivered to Wheel

Go Initial Velocity = (((Power Delivered*Specific Gravity of Fluid)/(Weight of Fluid*Final Velocity))-(Velocity of Jet))

Velocity for Work Done if there is no Loss of Energy

Go Final Velocity = sqrt(((Work Done*2*Specific Gravity of Fluid)/Weight of Fluid)+Velocity of Jet^2)

Velocity given Angular Momentum at Outlet

Go Velocity of Jet = (Tangential Momentum*Specific Gravity of Fluid)/(Weight of Fluid*Radius of wheel)

Angular Momentum at Outlet

Go Angular Momentum = ((Weight of Fluid*Velocity of Jet)/Specific Gravity of Fluid)*Radius of wheel

Velocity given Angular Momentum at Inlet

Go Final Velocity = (Angular Momentum*Specific Gravity of Fluid)/(Weight of Fluid*Radius of wheel)

Angular Momentum at Inlet

Go Angular Momentum = ((Weight of Fluid*Final Velocity)/Specific Gravity of Fluid)*Radius of wheel

Initial Velocity when Work Done at Vane Angle is 90 and Velocity is Zero

Go Initial Velocity = (Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Final Velocity)

Speed of Wheel given Tangential Velocity at Outlet Tip of Vane

Go Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of Outlet)

Speed of Wheel given Tangential Velocity at Inlet Tip of Vane

Go Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of wheel)

Velocity at Point given Efficiency of System

Go Velocity of Jet = sqrt(1-Efficiency of Jet)*Final Velocity

Velocity given Efficiency of System

Go Final Velocity = Velocity of Jet/sqrt(1-Efficiency of Jet)

Efficiency of System

Go Efficiency of Jet = (1-(Velocity of Jet/Final Velocity)^2)

Mass of Fluid Striking Vane per Second

Go Fluid Mass = Weight of Fluid/Specific Gravity of Fluid

Speed of Wheel given Tangential Velocity at Outlet Tip of Vane Formula

Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of Outlet)
Ω = (v_tangential*60)/(2*pi*r_O)

What is meant by Tangential velocity?

The Tangential Velocity(u) at the Inlet Tip of the Vane is the linear component of the speed of any object which is moving along a circular path.

How to Calculate Speed of Wheel given Tangential Velocity at Outlet Tip of Vane?

Speed of Wheel given Tangential Velocity at Outlet Tip of Vane calculator uses Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of Outlet) to calculate the Angular Speed, Speed of wheel given tangential velocity at outlet tip of vane rotating around axis is number of turns of object divided by time, specified as revolutions per minute (rpm). Angular Speed is denoted by Ω symbol.

How to calculate Speed of Wheel given Tangential Velocity at Outlet Tip of Vane using this online calculator? To use this online calculator for Speed of Wheel given Tangential Velocity at Outlet Tip of Vane, enter Tangential Velocity (v_tangential) & Radius of Outlet (r_O) and hit the calculate button. Here is how the Speed of Wheel given Tangential Velocity at Outlet Tip of Vane calculation can be explained with given input values -> 0.126651 = (60*60)/(2*pi*12).

FAQ

What is Speed of Wheel given Tangential Velocity at Outlet Tip of Vane?

Speed of wheel given tangential velocity at outlet tip of vane rotating around axis is number of turns of object divided by time, specified as revolutions per minute (rpm) and is represented as Ω = (v_tangential*60)/(2*pi*r_O) or Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of Outlet). Tangential Velocity is the linear speed of any object moving along a circular path & Radius of Outlet refers to the distance from the center of the outlet to its outer edge.

How to calculate Speed of Wheel given Tangential Velocity at Outlet Tip of Vane?

Speed of wheel given tangential velocity at outlet tip of vane rotating around axis is number of turns of object divided by time, specified as revolutions per minute (rpm) is calculated using Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of Outlet). To calculate Speed of Wheel given Tangential Velocity at Outlet Tip of Vane, you need Tangential Velocity (v_tangential) & Radius of Outlet (r_O). With our tool, you need to enter the respective value for Tangential Velocity & Radius of Outlet 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 Angular Speed?

In this formula, Angular Speed uses Tangential Velocity & Radius of Outlet. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of wheel)

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