Velocity At Inlet Given Work Done On Wheel Calculator

Formula Used:

\[ v_f = \frac{\left(\frac{w \times G}{w_f \times \omega} - v \times r_O\right)}{r} \]

Work Done:

Joule

Specific Gravity of Fluid:

Weight of Fluid:

Newton

Angular Velocity:

rad/s

Velocity of Jet:

m/s

Radius of Outlet:

Radius of Wheel:

Final Velocity:

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1. What is Velocity At Inlet Given Work Done On Wheel?

The Velocity At Inlet Given Work Done On Wheel calculation determines the final velocity of a fluid based on work done, specific gravity, weight of fluid, angular velocity, jet velocity, and various radii measurements in a fluid mechanics system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v_f = \frac{\left(\frac{w \times G}{w_f \times \omega} - v \times r_O\right)}{r} \]

Where:

\( v_f \) — Final Velocity (m/s)
\( w \) — Work Done (Joule)
\( G \) — Specific Gravity of Fluid
\( w_f \) — Weight of Fluid (Newton)
\( \omega \) — Angular Velocity (rad/s)
\( v \) — Velocity of Jet (m/s)
\( r_O \) — Radius of Outlet (m)
\( r \) — Radius of Wheel (m)

Explanation: This formula calculates the final velocity by considering the energy transfer and geometric parameters in a fluid system with rotating components.

3. Importance of Final Velocity Calculation

Details: Accurate final velocity calculation is crucial for designing and analyzing fluid machinery systems, optimizing energy transfer efficiency, and ensuring proper system performance in various engineering applications.

4. Using the Calculator

Tips: Enter all required values with appropriate units. Ensure all inputs are positive values. Work Done, Weight of Fluid, Angular Velocity, Velocity of Jet, and all radius measurements must be greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of specific gravity in this calculation?
A: Specific gravity represents the ratio of the fluid's density to that of a reference fluid, affecting how the fluid interacts with the mechanical system and influences energy transfer.

Q2: How does angular velocity affect the final velocity?
A: Angular velocity determines the rotational speed of the wheel, which directly impacts the energy transfer and consequently the final velocity of the fluid.

Q3: What are typical applications of this calculation?
A: This calculation is commonly used in turbine design, pump systems, hydraulic machinery, and other fluid power applications where rotational energy transfer occurs.

Q4: Are there limitations to this formula?
A: The formula assumes ideal fluid behavior and may need adjustments for real-world conditions involving fluid viscosity, turbulence, and mechanical losses.

Q5: How accurate is this calculation for engineering purposes?
A: While providing a good theoretical estimate, actual engineering applications often require additional factors and safety margins to account for real-world conditions and system inefficiencies.