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Angular Velocity for Work Done on Wheel per Second Formula

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The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time. Check FAQs

ω = \frac{w \cdot G}{w f \cdot (v f \cdot r + v \cdot r O)}

ω - Angular Velocity?w - Work Done?G - Specific Gravity of Fluid?w_f - Weight of Fluid?v_f - Final Velocity?r - Radius of wheel?v - Velocity of Jet?r_O - Radius of Outlet?

Angular Velocity for Work Done on Wheel per Second Example

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Here is how the Angular Velocity for Work Done on Wheel per Second equation looks like with Values.

Here is how the Angular Velocity for Work Done on Wheel per Second equation looks like with Units.

Here is how the Angular Velocity for Work Done on Wheel per Second equation looks like.

13.3542 = \frac{3.9 \cdot 10}{12.36 \cdot (40 \cdot 3 + 9.69 \cdot 12)}

13.3542rad/s = \frac{3.9KJ \cdot 10}{12.36N \cdot (40m/s \cdot 3m + 9.69m/s \cdot 12m)}

13.3542 = \frac{3.9 \cdot 10}{12.36 \cdot (40 \cdot 3 + 9.69 \cdot 12)}

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Angular Velocity for Work Done on Wheel per Second Solution

Follow our step by step solution on how to calculate Angular Velocity for Work Done on Wheel per Second?

FIRST Step Consider the formula

ω = \frac{w \cdot G}{w f \cdot (v f \cdot r + v \cdot r O)}

Next Step Substitute values of Variables

∴

ω = \frac{3.9KJ \cdot 10}{12.36N \cdot (40m/s \cdot 3m + 9.69m/s \cdot 12m)}

Next Step Convert Units

∴

ω = \frac{3900J \cdot 10}{12.36N \cdot (40m/s \cdot 3m + 9.69m/s \cdot 12m)}

Next Step Prepare to Evaluate

∴

ω = \frac{3900 \cdot 10}{12.36 \cdot (40 \cdot 3 + 9.69 \cdot 12)}

Next Step Evaluate

∴

ω = 13.3542399095363rad/s

LAST Step Rounding Answer

∴

ω = 13.3542rad/s

Angular Velocity for Work Done on Wheel per Second Formula Elements

Variables

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Work Done

Work done by/on a system is energy transferred by/to the system to/from its surroundings.

Symbol: w

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Work Done

Specific Gravity of Fluid

Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Fluid

Weight of Fluid

Weight of Fluid is the weight of fluid in Newtons or Kilo newton.

Symbol: w_f

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Weight of Fluid

Final Velocity

The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.

Symbol: v_f

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Final Velocity

Radius of wheel

Radius of wheel is a radial line from the focus to any point of a curve.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of wheel

Velocity of Jet

Velocity of Jet can be described as the movement of the plate in meters per second.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Jet

Radius of Outlet

Radius of Outlet refers to the distance from the center of the outlet to its outer edge.

Symbol: r_O

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Outlet

Other formulas in Torque Exerted on a Wheel with Radial Curved Vanes category

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

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

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

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

How to Evaluate Angular Velocity for Work Done on Wheel per Second?

Angular Velocity for Work Done on Wheel per Second evaluator uses Angular Velocity = (Work Done*Specific Gravity of Fluid)/(Weight of Fluid*(Final Velocity*Radius of wheel+Velocity of Jet*Radius of Outlet)) to evaluate the Angular Velocity, The Angular Velocity for Work Done on Wheel per Second is amount of change of angular displacement of particle at a given period of time. Angular Velocity is denoted by ω symbol.

How to evaluate Angular Velocity for Work Done on Wheel per Second using this online evaluator? To use this online evaluator for Angular Velocity for Work Done on Wheel per Second, enter Work Done (w), Specific Gravity of Fluid (G), Weight of Fluid (w_f), Final Velocity (v_f), Radius of wheel (r), Velocity of Jet (v) & Radius of Outlet (r_O) and hit the calculate button.

FAQs on Angular Velocity for Work Done on Wheel per Second

What is the formula to find Angular Velocity for Work Done on Wheel per Second?

The formula of Angular Velocity for Work Done on Wheel per Second is expressed as Angular Velocity = (Work Done*Specific Gravity of Fluid)/(Weight of Fluid*(Final Velocity*Radius of wheel+Velocity of Jet*Radius of Outlet)). Here is an example- 13.35424 = (3900*10)/(12.36*(40*3+9.69*12)).

How to calculate Angular Velocity for Work Done on Wheel per Second?

With Work Done (w), Specific Gravity of Fluid (G), Weight of Fluid (w_f), Final Velocity (v_f), Radius of wheel (r), Velocity of Jet (v) & Radius of Outlet (r_O) we can find Angular Velocity for Work Done on Wheel per Second using the formula - Angular Velocity = (Work Done*Specific Gravity of Fluid)/(Weight of Fluid*(Final Velocity*Radius of wheel+Velocity of Jet*Radius of Outlet)).

Can the Angular Velocity for Work Done on Wheel per Second be negative?

Yes, the Angular Velocity for Work Done on Wheel per Second, measured in Angular Velocity can be negative.

Which unit is used to measure Angular Velocity for Work Done on Wheel per Second?

Angular Velocity for Work Done on Wheel per Second is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Velocity for Work Done on Wheel per Second can be measured.

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Angular Velocity for Work Done on Wheel per Second Formula

Angular Velocity for Work Done on Wheel per Second Example

Angular Velocity for Work Done on Wheel per Second Solution

Angular Velocity for Work Done on Wheel per Second Formula Elements

Other formulas in Torque Exerted on a Wheel with Radial Curved Vanes category

How to Evaluate Angular Velocity for Work Done on Wheel per Second?

FAQs on Angular Velocity for Work Done on Wheel per Second

Variable Name