Torque Exerted By Fluid Calculator

Formula Used:

\[ \tau = \frac{w_f}{G} \times (v_f \times r + v \times rO) \]

Weight of Fluid:

Specific Gravity of Fluid:

Final Velocity:

m/s

Radius of Wheel:

Velocity of Jet:

m/s

Radius of Outlet:

Torque Exerted on Wheel:

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1. What is Torque Exerted by Fluid?

Torque Exerted on Wheel is the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ. This calculation is essential in fluid mechanics and engineering applications involving rotating machinery.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \tau = \frac{w_f}{G} \times (v_f \times r + v \times rO) \]

Where:

\( \tau \) — Torque Exerted on Wheel (N·m)
\( w_f \) — Weight of Fluid (N)
\( G \) — Specific Gravity of Fluid
\( v_f \) — Final Velocity (m/s)
\( r \) — Radius of Wheel (m)
\( v \) — Velocity of Jet (m/s)
\( rO \) — Radius of Outlet (m)

Explanation: The formula calculates the torque generated by fluid forces acting on a rotating wheel, accounting for fluid weight, specific gravity, velocities, and radial distances.

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial for designing and analyzing fluid machinery, ensuring proper power transmission, and preventing mechanical failures in rotating systems.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of torque in fluid systems?
A: Torque represents the rotational force generated by fluid interaction with mechanical components, determining the power output and efficiency of fluid machinery.

Q2: How does specific gravity affect the torque calculation?
A: Specific gravity accounts for the density of the fluid relative to water, affecting the effective weight and momentum transfer in the system.

Q3: What are typical applications of this calculation?
A: This calculation is used in designing turbines, pumps, water wheels, and other fluid-powered rotating equipment.

Q4: Are there limitations to this formula?
A: The formula assumes ideal fluid behavior and may need adjustments for viscous effects, turbulence, and complex flow patterns in real-world applications.

Q5: How accurate is this calculation for engineering purposes?
A: While providing a good estimate, for critical applications, additional factors such as friction losses, efficiency factors, and experimental validation should be considered.