Speed of Wheel given Tangential Velocity at Inlet 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 wheel is a radial line from the focus to any point of a curve.ⓘ Radius of wheel [r]			+10% -10%

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

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Formula

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Speed of Wheel given Tangential Velocity at Inlet Tip of Vane

Formula

Ω = \frac{v tangential \cdot 60}{2 \cdot π \cdot r}

Example

3.183099 rev/s = \frac{60 m/s \cdot 60}{2 \cdot π \cdot 3 m}

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

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of wheel)
Ω = (v_tangential*60)/(2*pi*r)
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 wheel - (Measured in Meter) - Radius of wheel is a radial line from the focus to any point of a curve.

STEP 1: Convert Input(s) to Base Unit

Tangential Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Radius of wheel: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ω = (v_tangential*60)/(2*pi*r) --> (60*60)/(2*pi*3)

Evaluating ... ...

Ω = 190.985931710274

STEP 3: Convert Result to Output's Unit

19.9999999989815 Radian per Second -->3.18309886183791 Revolution per Second (Check conversion here)

FINAL ANSWER

3.18309886183791 ≈ 3.183099 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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Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Torque Exerted on a Wheel with Radial Curved Vanes Calculators

Angular Momentum at Inlet

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

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)

Mass of Fluid Striking Vane per Second

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

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

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

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 Inlet Tip of Vane?

Speed of Wheel given Tangential Velocity at Inlet Tip of Vane calculator uses Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of wheel) to calculate the Angular Speed, The Speed of Wheel given Tangential Velocity at Inlet Tip of Vane rotating around an axis is the number of turns of the 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 Inlet Tip of Vane using this online calculator? To use this online calculator for Speed of Wheel given Tangential Velocity at Inlet Tip of Vane, enter Tangential Velocity (v_tangential) & Radius of wheel (r) and hit the calculate button. Here is how the Speed of Wheel given Tangential Velocity at Inlet Tip of Vane calculation can be explained with given input values -> 0.506606 = (60*60)/(2*pi*3).

FAQ

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

The Speed of Wheel given Tangential Velocity at Inlet Tip of Vane rotating around an axis is the number of turns of the object divided by time, specified as revolutions per minute (rpm) and is represented as Ω = (v_tangential*60)/(2*pi*r) or Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of wheel). Tangential Velocity is the linear speed of any object moving along a circular path & Radius of wheel is a radial line from the focus to any point of a curve.

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

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

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