Radius Of Wheel Given Angular Momentum At Inlet Calculator

Formula Used:

\[ r = \frac{L}{\left(\frac{w_f \cdot v_f}{G}\right)} \]

Angular Momentum (L):

kg·m²/s

Weight of Fluid (w_f):

Final Velocity (v_f):

m/s

Specific Gravity of Fluid (G):

(dimensionless)

Radius of Wheel (r):

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1. What is Radius of Wheel given Angular Momentum at Inlet?

The radius of wheel given angular momentum at inlet is a calculation used in fluid mechanics to determine the radius of a wheel based on the angular momentum, weight of fluid, final velocity, and specific gravity of the fluid. This is particularly important in turbine and pump design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r = \frac{L}{\left(\frac{w_f \cdot v_f}{G}\right)} \]

Where:

\( r \) — Radius of wheel (m)
\( L \) — Angular Momentum (kg·m²/s)
\( w_f \) — Weight of Fluid (N)
\( v_f \) — Final Velocity (m/s)
\( G \) — Specific Gravity of Fluid (dimensionless)

Explanation: The formula calculates the radius by dividing the angular momentum by the ratio of the product of weight of fluid and final velocity to the specific gravity of the fluid.

3. Importance of Radius Calculation

Details: Accurate radius calculation is crucial for designing efficient turbines and pumps, ensuring optimal performance and energy transfer in fluid systems.

4. Using the Calculator

Tips: Enter angular momentum in kg·m²/s, weight of fluid in Newtons, final velocity in m/s, and specific gravity (dimensionless). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is angular momentum in this context?
A: Angular momentum refers to the rotational momentum of the fluid entering the wheel, which affects the wheel's rotational dynamics.

Q2: Why is specific gravity important?
A: Specific gravity accounts for the density of the fluid relative to water, which influences the fluid's behavior and the forces acting on the wheel.

Q3: What are typical units for these measurements?
A: Angular momentum is in kg·m²/s, weight in Newtons, velocity in m/s, and specific gravity is dimensionless.

Q4: When is this calculation most applicable?
A: This calculation is particularly useful in hydraulic machinery design, such as turbines and pumps where fluid momentum impacts wheel performance.

Q5: Are there limitations to this formula?
A: The formula assumes ideal conditions and may need adjustments for real-world factors like friction, turbulence, and fluid viscosity.