Velocity given Angular Momentum at Inlet Solution

STEP 0: Pre-Calculation Summary
Formula Used
Final Velocity = (Angular Momentum*Specific Gravity of Fluid)/(Weight of Fluid*Radius of wheel)
vf = (L*G)/(wf*r)
This formula uses 5 Variables
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.
Angular Momentum - (Measured in Kilogram Square Meter per Second) - Angular Momentum is the degree to which a body rotates, gives its angular momentum.
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.
Weight of Fluid - (Measured in Newton) - Weight of Fluid is the weight of fluid in Newtons or Kilo newton.
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
Angular Momentum: 250 Kilogram Square Meter per Second --> 250 Kilogram Square Meter per Second No Conversion Required
Specific Gravity of Fluid: 10 --> No Conversion Required
Weight of Fluid: 12.36 Newton --> 12.36 Newton No Conversion Required
Radius of wheel: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vf = (L*G)/(wf*r) --> (250*10)/(12.36*3)
Evaluating ... ...
vf = 67.4217907227616
STEP 3: Convert Result to Output's Unit
67.4217907227616 Meter per Second --> No Conversion Required
FINAL ANSWER
67.4217907227616 67.42179 Meter per Second <-- Final Velocity
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology (NIT), Warangal
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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 Angular Momentum at Inlet Formula

Final Velocity = (Angular Momentum*Specific Gravity of Fluid)/(Weight of Fluid*Radius of wheel)
vf = (L*G)/(wf*r)

What is meant by specific gravity?

Specific gravity definition, the ratio of the density of any substance to the density of some other substance taken as standard.

How to Calculate Velocity given Angular Momentum at Inlet?

Velocity given Angular Momentum at Inlet calculator uses Final Velocity = (Angular Momentum*Specific Gravity of Fluid)/(Weight of Fluid*Radius of wheel) to calculate the Final Velocity, The Velocity given Angular Momentum at Inlet 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 Angular Momentum at Inlet using this online calculator? To use this online calculator for Velocity given Angular Momentum at Inlet, enter Angular Momentum (L), Specific Gravity of Fluid (G), Weight of Fluid (wf) & Radius of wheel (r) and hit the calculate button. Here is how the Velocity given Angular Momentum at Inlet calculation can be explained with given input values -> 67.42179 = (250*10)/(12.36*3).

FAQ

What is Velocity given Angular Momentum at Inlet?
The Velocity given Angular Momentum at Inlet 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 = (L*G)/(wf*r) or Final Velocity = (Angular Momentum*Specific Gravity of Fluid)/(Weight of Fluid*Radius of wheel). Angular Momentum is the degree to which a body rotates, gives its angular momentum, Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid, Weight of Fluid is the weight of fluid in Newtons or Kilo newton & Radius of wheel is a radial line from the focus to any point of a curve.
How to calculate Velocity given Angular Momentum at Inlet?
The Velocity given Angular Momentum at Inlet 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 = (Angular Momentum*Specific Gravity of Fluid)/(Weight of Fluid*Radius of wheel). To calculate Velocity given Angular Momentum at Inlet, you need Angular Momentum (L), Specific Gravity of Fluid (G), Weight of Fluid (wf) & Radius of wheel (r). With our tool, you need to enter the respective value for Angular Momentum, Specific Gravity of Fluid, Weight of Fluid & 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 Final Velocity?
In this formula, Final Velocity uses Angular Momentum, Specific Gravity of Fluid, Weight of Fluid & Radius of wheel. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Final Velocity = sqrt(((Work Done*2*Specific Gravity of Fluid)/Weight of Fluid)+Velocity of Jet^2)
  • Final Velocity = Velocity of Jet/sqrt(1-Efficiency of Jet)
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