Weight Of Fluid For Work Done On Wheel Per Second Calculator

Formula Used:

\[ w_f = \frac{w \times G}{(v_f \times r + v \times r_o) \times \omega} \]

Work Done (w):

Joule

Specific Gravity of Fluid (G):

(unitless)

Final Velocity (v_f):

m/s

Radius of Wheel (r):

Velocity of Jet (v):

m/s

Radius of Outlet (r_o):

Angular Velocity (ω):

rad/s

Weight of Fluid (w_f):

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1. What is the Weight of Fluid Calculation?

The Weight of Fluid calculation determines the weight of fluid in Newtons based on work done, specific gravity, velocities, radii, and angular velocity. This is important in fluid mechanics and engineering applications involving rotating machinery.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w_f = \frac{w \times G}{(v_f \times r + v \times r_o) \times \omega} \]

Where:

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

Explanation: This formula calculates the weight of fluid by considering the work done and the combined effects of linear and angular motion parameters.

3. Importance of Weight of Fluid Calculation

Details: Accurate calculation of fluid weight is crucial for designing hydraulic systems, turbines, pumps, and other fluid machinery to ensure proper performance and safety.

4. Using the Calculator

Tips: Enter all values in appropriate units. Work done in Joules, velocities in m/s, radii in meters, and angular velocity in rad/s. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is specific gravity of fluid?
A: Specific gravity is the ratio of the density of a substance to the density of a reference substance, typically water for liquids.

Q2: Why is angular velocity important in this calculation?
A: Angular velocity accounts for the rotational motion component in the system, which affects the overall energy transfer and fluid behavior.

Q3: What are typical applications of this calculation?
A: This calculation is used in hydraulic engineering, turbine design, pump systems, and any application involving fluid flow through rotating machinery.

Q4: What happens if the denominator becomes zero?
A: The result becomes undefined (division by zero), which indicates an invalid physical scenario where the combined motion parameters cannot produce the described work.

Q5: Can this formula be used for any type of fluid?
A: Yes, the formula is general and can be used for any fluid, with the specific gravity parameter accounting for different fluid densities.