Radius At Inlet For Work Done On Wheel Per Second Calculator

Formula Used:

\[ r = \frac{\left(\frac{w \times G}{wf \times \omega}\right) - (v \times rO)}{vf} \]

Work Done:

Joule

Specific Gravity of Fluid:

Weight of Fluid:

Newton

Angular Velocity:

rad/s

Velocity of Jet:

m/s

Radius of Outlet:

Final Velocity:

m/s

Radius at Inlet (r):

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1. What is Radius at Inlet for Work Done on Wheel per Second?

The Radius at Inlet for Work Done on Wheel per Second is a calculation used in fluid mechanics to determine the radial distance from the center of a wheel to its inlet point, based on various fluid and mechanical parameters.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r = \frac{\left(\frac{w \times G}{wf \times \omega}\right) - (v \times rO)}{vf} \]

Where:

\( r \) — Radius at Inlet (m)
\( w \) — Work Done (Joule)
\( G \) — Specific Gravity of Fluid
\( wf \) — Weight of Fluid (Newton)
\( \omega \) — Angular Velocity (rad/s)
\( v \) — Velocity of Jet (m/s)
\( rO \) — Radius of Outlet (m)
\( vf \) — Final Velocity (m/s)

Explanation: This formula calculates the radius at the inlet point by considering the work done, fluid properties, angular velocity, and velocity components.

3. Importance of Radius at Inlet Calculation

Details: Accurate calculation of the radius at inlet is crucial for designing efficient fluid machinery systems, optimizing energy transfer, and ensuring proper functioning of hydraulic turbines and pumps.

4. Using the Calculator

Tips: Enter all required values in appropriate units. Ensure all values are positive and within reasonable physical limits for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of specific gravity in this calculation?
A: Specific gravity represents the density ratio of the fluid to a standard fluid, which affects the work done and energy transfer in the system.

Q2: How does angular velocity affect the radius calculation?
A: Angular velocity determines the rotational speed of the wheel, which influences the energy transfer and consequently the required inlet radius.

Q3: What are typical units for these parameters?
A: Work done in Joules, weights in Newtons, velocities in m/s, radii in meters, and angular velocity in rad/s.

Q4: When is this calculation most commonly used?
A: This calculation is primarily used in hydraulic engineering, turbine design, and fluid machinery analysis.

Q5: Are there limitations to this formula?
A: The formula assumes ideal fluid conditions and may need adjustments for real-world applications with friction losses and other non-ideal factors.