Velocity Ratio Of Worm Geared Screw Jack With Double Threaded Calculator

Velocity Ratio Formula:

\[ Velocity\ Ratio = \frac{2 \times \pi \times Radius\ of\ Effort\ Wheel \times Number\ of\ Teeth\ on\ Worm\ Wheel}{2 \times Pitch} \]

Velocity Ratio:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Velocity Ratio of Worm Geared Screw Jack?

The Velocity Ratio of a Worm Geared Screw Jack with Double Threaded mechanism represents the ratio between the distance moved by the effort and the distance moved by the load. It indicates the mechanical advantage provided by the screw jack system.

2. How Does the Calculator Work?

The calculator uses the Velocity Ratio formula:

\[ Velocity\ Ratio = \frac{2 \times \pi \times Radius\ of\ Effort\ Wheel \times Number\ of\ Teeth\ on\ Worm\ Wheel}{2 \times Pitch} \]

Where:

\( \pi \) — Archimedes' constant (approximately 3.14159)
\( Radius\ of\ Effort\ Wheel \) — Radius of the effort wheel in meters
\( Number\ of\ Teeth\ on\ Worm\ Wheel \) — Count of teeth on the worm wheel
\( Pitch \) — Distance between screw threads in meters

Explanation: The formula calculates how much the input effort is multiplied to produce the output movement in the screw jack system.

3. Importance of Velocity Ratio Calculation

Details: Calculating velocity ratio is essential for determining the mechanical advantage, efficiency, and performance characteristics of worm geared screw jack systems in various engineering applications.

4. Using the Calculator

Tips: Enter the radius of effort wheel in meters, number of teeth on worm wheel, and pitch in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of double threading in worm gears?
A: Double threading increases the lead of the worm, resulting in higher velocity ratio and different mechanical characteristics compared to single-threaded worms.

Q2: How does radius of effort wheel affect velocity ratio?
A: A larger radius of effort wheel increases the velocity ratio, providing greater mechanical advantage in the system.

Q3: What are typical velocity ratio values for worm geared screw jacks?
A: Velocity ratios can vary significantly depending on design, but typically range from 20:1 to 300:1 for most industrial applications.

Q4: How does pitch affect the velocity ratio?
A: A smaller pitch increases the velocity ratio, as it requires more rotations to achieve the same linear movement.

Q5: What is the relationship between velocity ratio and mechanical advantage?
A: Velocity ratio and mechanical advantage are related concepts, with mechanical advantage being the actual force multiplication while velocity ratio represents the ideal mechanical advantage without considering efficiency losses.