Velocity given Efficiency of System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Final Velocity = Velocity of Jet/sqrt(1-Efficiency of Jet)
vf = v/sqrt(1-η)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Final Velocity - (Measured in Meter per Second) - The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.
Velocity of Jet - (Measured in Meter per Second) - Velocity of Jet can be described as the movement of the plate in meters per second.
Efficiency of Jet - Efficiency of Jet is an electric motor is defined as the ratio of usable shaft power to electric input power.
STEP 1: Convert Input(s) to Base Unit
Velocity of Jet: 9.69 Meter per Second --> 9.69 Meter per Second No Conversion Required
Efficiency of Jet: 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vf = v/sqrt(1-η) --> 9.69/sqrt(1-0.8)
Evaluating ... ...
vf = 21.667498701973
STEP 3: Convert Result to Output's Unit
21.667498701973 Meter per Second --> No Conversion Required
FINAL ANSWER
21.667498701973 21.6675 Meter per Second <-- Final Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

21 Torque Exerted on a Wheel with Radial Curved Vanes Calculators

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

Velocity given Efficiency of System Formula

Final Velocity = Velocity of Jet/sqrt(1-Efficiency of Jet)
vf = v/sqrt(1-η)

What is meant by Efficiency?

The Efficiency of the System signifies a peak level of performance that uses the least amount of inputs to achieve the highest amount of output.

How to Calculate Velocity given Efficiency of System?

Velocity given Efficiency of System calculator uses Final Velocity = Velocity of Jet/sqrt(1-Efficiency of Jet) to calculate the Final Velocity, The Velocity given Efficiency of System is the rate of change of its position with respect to a frame of reference and is a function of time. Final Velocity is denoted by vf symbol.

How to calculate Velocity given Efficiency of System using this online calculator? To use this online calculator for Velocity given Efficiency of System, enter Velocity of Jet (v) & Efficiency of Jet (η) and hit the calculate button. Here is how the Velocity given Efficiency of System calculation can be explained with given input values -> 21.6675 = 9.69/sqrt(1-0.8).

FAQ

What is Velocity given Efficiency of System?
The Velocity given Efficiency of System is the rate of change of its position with respect to a frame of reference and is a function of time and is represented as vf = v/sqrt(1-η) or Final Velocity = Velocity of Jet/sqrt(1-Efficiency of Jet). Velocity of Jet can be described as the movement of the plate in meters per second & Efficiency of Jet is an electric motor is defined as the ratio of usable shaft power to electric input power.
How to calculate Velocity given Efficiency of System?
The Velocity given Efficiency of System is the rate of change of its position with respect to a frame of reference and is a function of time is calculated using Final Velocity = Velocity of Jet/sqrt(1-Efficiency of Jet). To calculate Velocity given Efficiency of System, you need Velocity of Jet (v) & Efficiency of Jet (η). With our tool, you need to enter the respective value for Velocity of Jet & Efficiency of Jet 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 Final Velocity?
In this formula, Final Velocity uses Velocity of Jet & Efficiency of Jet. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Final Velocity = (Angular Momentum*Specific Gravity of Fluid)/(Weight of Fluid*Radius of wheel)
  • Final Velocity = sqrt(((Work Done*2*Specific Gravity of Fluid)/Weight of Fluid)+Velocity of Jet^2)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!