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Radius at Inlet for Work Done on Wheel per Second Formula

GoRadius at Inlet with Known Torque by Fluid Formula

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

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

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

Radius at Inlet for Work Done on Wheel per Second Example

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Here is how the Radius at Inlet for Work Done on Wheel per Second equation looks like with Values.

Here is how the Radius at Inlet for Work Done on Wheel per Second equation looks like with Units.

Here is how the Radius at Inlet for Work Done on Wheel per Second equation looks like.

3.161 = \frac{(\frac{3.9 \cdot 10}{12.36 \cdot 13}) - (9.69 \cdot 12)}{40}

3.161m = \frac{(\frac{3.9KJ \cdot 10}{12.36N \cdot 13rad/s}) - (9.69m/s \cdot 12m)}{40m/s}

3.161 = \frac{(\frac{3.9 \cdot 10}{12.36 \cdot 13}) - (9.69 \cdot 12)}{40}

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Home » Engineering » Civil » Hydraulics and Waterworks » Radius at Inlet for Work Done on Wheel per Second

Radius at Inlet for Work Done on Wheel per Second Solution

Follow our step by step solution on how to calculate Radius at Inlet for Work Done on Wheel per Second?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \frac{(\frac{3.9KJ \cdot 10}{12.36N \cdot 13rad/s}) - (9.69m/s \cdot 12m)}{40m/s}

Next Step Convert Units

∴

r = \frac{(\frac{3900J \cdot 10}{12.36N \cdot 13rad/s}) - (9.69m/s \cdot 12m)}{40m/s}

Next Step Prepare to Evaluate

∴

r = \frac{(\frac{3900 \cdot 10}{12.36 \cdot 13}) - (9.69 \cdot 12)}{40}

Next Step Evaluate

∴

r = 3.16096116504854m

LAST Step Rounding Answer

∴

r = 3.161m

Radius at Inlet for Work Done on Wheel per Second Formula Elements

Variables

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.

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.

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.

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.

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.

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.

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.

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.

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Formula and 500+ more formulas!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Formula and 400+ more formulas!

Other Formulas to find Radius of wheel

Go Radius at Inlet with Known Torque by Fluid

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

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 Radius at Inlet for Work Done on Wheel per Second?

Radius at Inlet for Work Done on Wheel per Second evaluator uses Radius of wheel = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-(Velocity of Jet*Radius of Outlet))/Final Velocity to evaluate the Radius of wheel, The Radius at Inlet for work done on wheel per second is a straight line extending from the center of a circle or sphere to the circumference or surface. Radius of wheel is denoted by r symbol.

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

FAQs on Radius at Inlet for Work Done on Wheel per Second

What is the formula to find Radius at Inlet for Work Done on Wheel per Second?

The formula of Radius at Inlet for Work Done on Wheel per Second is expressed as Radius of wheel = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-(Velocity of Jet*Radius of Outlet))/Final Velocity. Here is an example- 16.81387 = (((3900*10)/(12.36*13))-(9.69*12))/40.

How to calculate Radius at Inlet for Work Done on Wheel per Second?

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

What are the other ways to Calculate Radius of wheel?

Here are the different ways to Calculate Radius of wheel-

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

Can the Radius at Inlet for Work Done on Wheel per Second be negative?

No, the Radius at Inlet for Work Done on Wheel per Second, measured in Length cannot be negative.

Which unit is used to measure Radius at Inlet for Work Done on Wheel per Second?

Radius at Inlet for Work Done on Wheel per Second is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius at Inlet for Work Done on Wheel per Second can be measured.