Work Done On Wheel Per Second Calculator

Formula Used:

\[ Work\ Done = \frac{Weight\ of\ Fluid}{Specific\ Gravity\ of\ Fluid} \times (Final\ Velocity \times Radius\ of\ wheel + Velocity\ of\ Jet \times Radius\ of\ Outlet) \times Angular\ Velocity \]

Weight of Fluid:

Newton

Specific Gravity of Fluid:

(dimensionless)

Final Velocity:

m/s

Radius of wheel:

Velocity of Jet:

m/s

Radius of Outlet:

Angular Velocity:

rad/s

Work Done:

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1. What is Work Done on Wheel per Second?

Work Done on Wheel per Second refers to the energy transferred to or from a wheel system per unit time. It quantifies the rate at which work is performed by or on the wheel in fluid mechanics applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Work\ Done = \frac{Weight\ of\ Fluid}{Specific\ Gravity\ of\ Fluid} \times (Final\ Velocity \times Radius\ of\ wheel + Velocity\ of\ Jet \times Radius\ of\ Outlet) \times Angular\ Velocity \]

Where:

\( Weight\ of\ Fluid \) — Weight of fluid in Newtons
\( Specific\ Gravity\ of\ Fluid \) — Ratio of fluid density to standard fluid density
\( Final\ Velocity \) — Speed of moving body after maximum acceleration (m/s)
\( Radius\ of\ wheel \) — Distance from center to outer edge of wheel (m)
\( Velocity\ of\ Jet \) — Movement speed of the jet/fluid (m/s)
\( Radius\ of\ Outlet \) — Distance from center to outer edge of outlet (m)
\( Angular\ Velocity \) — Rate of rotation (rad/s)

Explanation: This formula calculates the work done per second by considering fluid properties, velocities, and geometric parameters of the wheel system.

3. Importance of Work Done Calculation

Details: Calculating work done on wheel per second is crucial for analyzing energy transfer efficiency in hydraulic systems, turbine design, and fluid machinery performance evaluation.

4. Using the Calculator

Tips: Enter all values in appropriate units. Weight of fluid in Newtons, velocities in m/s, radii in meters, angular velocity in rad/s. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of specific gravity in this calculation?
A: Specific gravity accounts for the density difference between the working fluid and a reference fluid, affecting the effective weight and energy transfer.

Q2: How does angular velocity affect work done?
A: Higher angular velocity increases the rate of work done as it represents faster rotation and energy transfer.

Q3: What are typical applications of this calculation?
A: This calculation is used in hydraulic turbines, water wheels, and various fluid power transmission systems.

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

Q5: What units should be used for accurate results?
A: Use consistent SI units: Newtons for weight, meters for distances, m/s for velocities, and rad/s for angular velocity.