Velocity At Outlet Given Torque By Fluid Calculator

Velocity at Outlet given Torque by Fluid Formula:

\[ v = \frac{\left(\frac{\tau \times G}{w_f}\right) - (v_f \times r)}{r_o} \]

Torque Exerted on Wheel (τ):

N·m

Specific Gravity of Fluid (G):

unitless

Weight of Fluid (w_f):

Final Velocity (v_f):

m/s

Radius of Wheel (r):

Radius of Outlet (r_o):

Velocity of Jet (v):

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1. What is Velocity at Outlet given Torque by Fluid?

Velocity at Outlet given Torque by Fluid is a calculation that determines the velocity of a fluid jet at the outlet based on the torque exerted on a wheel, specific gravity of the fluid, weight of the fluid, final velocity, and various radii measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v = \frac{\left(\frac{\tau \times G}{w_f}\right) - (v_f \times r)}{r_o} \]

Where:

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

Explanation: This formula calculates the velocity of a fluid jet by considering the torque exerted on a wheel, fluid properties, and geometric parameters of the system.

3. Importance of Velocity Calculation

Details: Accurate velocity calculation is crucial for fluid dynamics analysis, hydraulic system design, and understanding energy transfer in fluid machinery systems.

4. Using the Calculator

Tips: Enter all values in appropriate units. Torque in N·m, specific gravity as unitless ratio, weight in Newtons, velocities in m/s, and radii in meters. 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 torque important in this calculation?
A: Torque represents the rotational force exerted by the fluid on the wheel, which is directly related to the energy transfer in the system.

Q3: What are typical values for velocity of jet?
A: Velocity values vary widely depending on the application, ranging from a few m/s in low-pressure systems to hundreds of m/s in high-pressure jet systems.

Q4: How does radius affect the velocity calculation?
A: Both wheel radius and outlet radius are geometric factors that influence the relationship between torque, force, and resulting velocity in the system.

Q5: When is this calculation typically used?
A: This calculation is commonly used in hydraulic engineering, turbine design, and fluid power systems where torque and velocity relationships are critical.