Radius at Inlet with Known Torque by Fluid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of wheel = (((Torque Exerted on Wheel*Specific Gravity of Fluid)/Weight of Fluid)+(Velocity of Jet*Radius of Outlet))/Final Velocity
r = (((ฯ„*G)/wf)+(v*rO))/vf
This formula uses 7 Variables
Variables Used
Radius of wheel - (Measured in Meter) - Radius of wheel is a radial line from the focus to any point of a curve.
Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel is the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by ฯ„.
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.
Velocity of Jet - (Measured in Meter per Second) - Velocity of Jet can be described as the movement of the plate in meters per second.
Radius of Outlet - (Measured in Meter) - Radius of Outlet refers to the distance from the center of the outlet to its outer edge.
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
Torque Exerted on Wheel: 292 Newton Meter --> 292 Newton Meter No Conversion Required
Specific Gravity of Fluid: 10 --> No Conversion Required
Weight of Fluid: 12.36 Newton --> 12.36 Newton No Conversion Required
Velocity of Jet: 9.69 Meter per Second --> 9.69 Meter per Second No Conversion Required
Radius of Outlet: 12 Meter --> 12 Meter 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
r = (((ฯ„*G)/wf)+(v*rO))/vf --> (((292*10)/12.36)+(9.69*12))/40
Evaluating ... ...
r = 8.81314886731392
STEP 3: Convert Result to Output's Unit
8.81314886731392 Meter --> No Conversion Required
FINAL ANSWER
8.81314886731392 โ‰ˆ 8.813149 Meter <-- Radius of wheel
(Calculation completed in 00.020 seconds)

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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

Radius at Inlet with Known Torque by Fluid Formula

Radius of wheel = (((Torque Exerted on Wheel*Specific Gravity of Fluid)/Weight of Fluid)+(Velocity of Jet*Radius of Outlet))/Final Velocity
r = (((ฯ„*G)/wf)+(v*rO))/vf

What is meant by Torque?

The Torque(T) Exerted by the Fluid is the twisting force that tends to cause rotation. It is the measure of how much a force acting on an object causes that object to rotate.

How to Calculate Radius at Inlet with Known Torque by Fluid?

Radius at Inlet with Known Torque by Fluid calculator uses Radius of wheel = (((Torque Exerted on Wheel*Specific Gravity of Fluid)/Weight of Fluid)+(Velocity of Jet*Radius of Outlet))/Final Velocity to calculate the Radius of wheel, Radius at inlet with known torque by fluid 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 calculate Radius at Inlet with Known Torque by Fluid using this online calculator? To use this online calculator for Radius at Inlet with Known Torque by Fluid, enter Torque Exerted on Wheel (ฯ„), Specific Gravity of Fluid (G), Weight of Fluid (wf), Velocity of Jet (v), Radius of Outlet (rO) & Final Velocity (vf) and hit the calculate button. Here is how the Radius at Inlet with Known Torque by Fluid calculation can be explained with given input values -> 3.918327 = (((292*10)/12.36)+(9.69*12))/40.

FAQ

What is Radius at Inlet with Known Torque by Fluid?
Radius at inlet with known torque by fluid is a straight line extending from the center of a circle or sphere to the circumference or surface and is represented as r = (((ฯ„*G)/wf)+(v*rO))/vf or Radius of wheel = (((Torque Exerted on Wheel*Specific Gravity of Fluid)/Weight of Fluid)+(Velocity of Jet*Radius of Outlet))/Final Velocity. Torque Exerted on Wheel is the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by ฯ„, 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, Velocity of Jet can be described as the movement of the plate in meters per second, Radius of Outlet refers to the distance from the center of the outlet to its outer edge & The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.
How to calculate Radius at Inlet with Known Torque by Fluid?
Radius at inlet with known torque by fluid is a straight line extending from the center of a circle or sphere to the circumference or surface is calculated using Radius of wheel = (((Torque Exerted on Wheel*Specific Gravity of Fluid)/Weight of Fluid)+(Velocity of Jet*Radius of Outlet))/Final Velocity. To calculate Radius at Inlet with Known Torque by Fluid, you need Torque Exerted on Wheel (ฯ„), Specific Gravity of Fluid (G), Weight of Fluid (wf), Velocity of Jet (v), Radius of Outlet (rO) & Final Velocity (vf). With our tool, you need to enter the respective value for Torque Exerted on Wheel, Specific Gravity of Fluid, Weight of Fluid, Velocity of Jet, Radius of Outlet & Final Velocity 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 Radius of wheel?
In this formula, Radius of wheel uses Torque Exerted on Wheel, Specific Gravity of Fluid, Weight of Fluid, Velocity of Jet, Radius of Outlet & Final Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radius of wheel = (((Work Done*Specific Gravity of Fluid)/ (Weight of Fluid*Angular Velocity))-(Velocity of Jet*Radius of Outlet))/Final Velocity
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