Efficiency of System Calculator

✖Velocity of Jet can be described as the movement of the plate in meters per second.ⓘ Velocity of Jet [v]			+10% -10%
✖The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.ⓘ Final Velocity [v_f]			+10% -10%

✖Efficiency of Jet is an electric motor is defined as the ratio of usable shaft power to electric input power.ⓘ Efficiency of System [η]

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Formula

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Efficiency of System

Formula

`"η" = (1-("v"/"v"_{"f"})^2)`

Example

`"0.941315"=(1-("9.69m/s"/"40m/s")^2)`

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Efficiency of System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of Jet = (1-(Velocity of Jet/Final Velocity)^2)
η = (1-(v/v_f)^2)
This formula uses 3 Variables

Variables Used

Efficiency of Jet - Efficiency of Jet is an electric motor is defined as the ratio of usable shaft power to electric input power.
Velocity of Jet - (Measured in Meter per Second) - Velocity of Jet can be described as the movement of the plate in meters per second.
Final Velocity - (Measured in Meter per Second) - The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.

STEP 1: Convert Input(s) to Base Unit

Velocity of Jet: 9.69 Meter per Second --> 9.69 Meter per Second No Conversion Required
Final Velocity: 40 Meter per Second --> 40 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = (1-(v/v_f)^2) --> (1-(9.69/40)^2)

Evaluating ... ...

η = 0.9413149375

STEP 3: Convert Result to Output's Unit

0.9413149375 --> No Conversion Required

FINAL ANSWER

0.9413149375 ≈ 0.941315 <-- Efficiency of Jet

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Fundamentals of Fluid Flow » Torque Exerted on a Wheel with Radial Curved Vanes » Efficiency of System

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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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< 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

Efficiency of System Formula

Efficiency of Jet = (1-(Velocity of Jet/Final Velocity)^2)
η = (1-(v/v_f)^2)

What is meant by Efficiency of System?

The efficiency of a system is defined as useful power output divided by the total electrical power consumed.

How to Calculate Efficiency of System?

Efficiency of System calculator uses Efficiency of Jet = (1-(Velocity of Jet/Final Velocity)^2) to calculate the Efficiency of Jet, The Efficiency of System signifies peak level of performance that uses least amount of inputs to achieve highest amount of output. Efficiency of Jet is denoted by η symbol.

How to calculate Efficiency of System using this online calculator? To use this online calculator for Efficiency of System, enter Velocity of Jet (v) & Final Velocity (v_f) and hit the calculate button. Here is how the Efficiency of System calculation can be explained with given input values -> 0.941315 = (1-(9.69/40)^2).

FAQ

What is Efficiency of System?

The Efficiency of System signifies peak level of performance that uses least amount of inputs to achieve highest amount of output and is represented as η = (1-(v/v_f)^2) or Efficiency of Jet = (1-(Velocity of Jet/Final Velocity)^2). Velocity of Jet can be described as the movement of the plate in meters per second & The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.

How to calculate Efficiency of System?

The Efficiency of System signifies peak level of performance that uses least amount of inputs to achieve highest amount of output is calculated using Efficiency of Jet = (1-(Velocity of Jet/Final Velocity)^2). To calculate Efficiency of System, you need Velocity of Jet (v) & Final Velocity (v_f). With our tool, you need to enter the respective value for Velocity of Jet & Final Velocity 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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