Velocity Ratio of Worm Geared Screw Jack with Double Threaded Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Pitch)
Vi = (2*pi*Rw*Tw)/(2*Ps)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Velocity Ratio - Velocity Ratio is the distance through which any part of a machine moves to that which the driving part moves during the same time.
Radius of Effort Wheel - (Measured in Meter) - The Radius of Effort Wheel is any of the line segments from its center of the wheel to its perimeter.
Number of Teeth on Worm Wheel - The Number of Teeth on Worm Wheel is the count of teeth on the wheel.
Pitch - (Measured in Meter) - Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.
STEP 1: Convert Input(s) to Base Unit
Radius of Effort Wheel: 0.85 Meter --> 0.85 Meter No Conversion Required
Number of Teeth on Worm Wheel: 32 --> No Conversion Required
Pitch: 14 Meter --> 14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vi = (2*pi*Rw*Tw)/(2*Ps) --> (2*pi*0.85*32)/(2*14)
Evaluating ... ...
Vi = 6.10366572697446
STEP 3: Convert Result to Output's Unit
6.10366572697446 --> No Conversion Required
FINAL ANSWER
6.10366572697446 6.103666 <-- Velocity Ratio
(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Screw Jack Calculators

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​ LaTeX ​ Go Torque Required While Load is Descending = Mean Diameter of Screw/2*Load*tan(Angle of Friction-Limiting Angle of Friction)
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​ LaTeX ​ Go Torque Required While Load is Ascending = Mean Diameter of Screw/2*Load*tan(Angle of Friction+Limiting Angle of Friction)
Efficiency of Screw Jack
​ LaTeX ​ Go Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100
Velocity Ratio of Simple Screw Jack
​ LaTeX ​ Go Velocity Ratio = (2*pi*Length of Lever Arm)/Pitch

Velocity Ratio of Worm Geared Screw Jack with Double Threaded Formula

​LaTeX ​Go
Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Pitch)
Vi = (2*pi*Rw*Tw)/(2*Ps)

What is velocity ratio?

Velocity ratio is the ratio of distance moved by the effort to distance moved by load in the same interval of time.

How to Calculate Velocity Ratio of Worm Geared Screw Jack with Double Threaded?

Velocity Ratio of Worm Geared Screw Jack with Double Threaded calculator uses Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Pitch) to calculate the Velocity Ratio, Velocity Ratio of Worm Geared Screw Jack with Double Threaded running parallel to each other, which affects the lead and consequently the velocity ratio. Velocity Ratio is denoted by Vi symbol.

How to calculate Velocity Ratio of Worm Geared Screw Jack with Double Threaded using this online calculator? To use this online calculator for Velocity Ratio of Worm Geared Screw Jack with Double Threaded, enter Radius of Effort Wheel (Rw), Number of Teeth on Worm Wheel (Tw) & Pitch (Ps) and hit the calculate button. Here is how the Velocity Ratio of Worm Geared Screw Jack with Double Threaded calculation can be explained with given input values -> 6.103666 = (2*pi*0.85*32)/(2*14).

FAQ

What is Velocity Ratio of Worm Geared Screw Jack with Double Threaded?
Velocity Ratio of Worm Geared Screw Jack with Double Threaded running parallel to each other, which affects the lead and consequently the velocity ratio and is represented as Vi = (2*pi*Rw*Tw)/(2*Ps) or Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Pitch). The Radius of Effort Wheel is any of the line segments from its center of the wheel to its perimeter, The Number of Teeth on Worm Wheel is the count of teeth on the wheel & Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.
How to calculate Velocity Ratio of Worm Geared Screw Jack with Double Threaded?
Velocity Ratio of Worm Geared Screw Jack with Double Threaded running parallel to each other, which affects the lead and consequently the velocity ratio is calculated using Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Pitch). To calculate Velocity Ratio of Worm Geared Screw Jack with Double Threaded, you need Radius of Effort Wheel (Rw), Number of Teeth on Worm Wheel (Tw) & Pitch (Ps). With our tool, you need to enter the respective value for Radius of Effort Wheel, Number of Teeth on Worm Wheel & Pitch and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Velocity Ratio?
In this formula, Velocity Ratio uses Radius of Effort Wheel, Number of Teeth on Worm Wheel & Pitch. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Velocity Ratio = (2*pi*Length of Lever Arm)/Pitch
  • Velocity Ratio = (2*pi*Length of Lever Arm)/(Pitch of Screw A-Pitch of Screw B)
  • Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch
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