Velocity Ratio of Worm Geared Screw Jack Calculator

✖The Radius of Effort Wheel is any of the line segments from its center of the wheel to its perimeter.ⓘ Radius of Effort Wheel [R_w]			+10% -10%
✖Number of Teeth in Screw Shaft refers to the number of threads or helical ridges present on the screw shaft of the jack.ⓘ Number of Teeth in Screw Shaft [T_s]			+10% -10%
✖Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.ⓘ Pitch [P_s]			+10% -10%

✖Velocity Ratio is the distance through which any part of a machine moves to that which the driving part moves during the same time.ⓘ Velocity Ratio of Worm Geared Screw Jack [V_i]

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Formula

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Velocity Ratio of Worm Geared Screw Jack

Formula

V i = \frac{2 \cdot π \cdot R w \cdot T s}{P s}

Example

6.485145 = \frac{2 \cdot π \cdot 0.85 m \cdot 17}{14 m}

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Velocity Ratio of Worm Geared Screw Jack Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch
V_i = (2*pi*R_w*T_s)/P_s
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 in Screw Shaft - Number of Teeth in Screw Shaft refers to the number of threads or helical ridges present on the screw shaft of the jack.
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 in Screw Shaft: 17 --> No Conversion Required
Pitch: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_i = (2*pi*R_w*T_s)/P_s --> (2*pi*0.85*17)/14

Evaluating ... ...

V_i = 6.48514483491036

STEP 3: Convert Result to Output's Unit

6.48514483491036 --> No Conversion Required

FINAL ANSWER

6.48514483491036 ≈ 6.485145 <-- Velocity Ratio

(Calculation completed in 00.020 seconds)

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Home » Physics » Mechanics » Engineering Mechanics » Lifting Machines » Mechanical » Screw Jack » Velocity Ratio of Worm Geared Screw Jack

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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< Screw Jack Calculators

Torque Required while Load is Descending in Screw Jack

Go Torque Required While Load is Descending = Mean Diameter of Screw/2*Load*tan(Angle of Friction-Limiting Angle of Friction)

Torque Required while Load is Ascending in Screw Jack

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

Go Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100

Velocity Ratio of Simple Screw Jack

Go Velocity Ratio = (2*pi*Length of Lever Arm)/Pitch

Velocity Ratio of Worm Geared Screw Jack Formula

Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch
V_i = (2*pi*R_w*T_s)/P_s

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?

Velocity Ratio of Worm Geared Screw Jack calculator uses Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch to calculate the Velocity Ratio, Velocity Ratio of Worm Geared Screw Jack measures the mechanical advantage of the system by comparing the distance moved by the effort to the distance moved by the load. In a worm-geared screw jack, the worm gear drives the screw mechanism, and the velocity ratio is influenced by the gear and screw parameters. Velocity Ratio is denoted by V_i symbol.

How to calculate Velocity Ratio of Worm Geared Screw Jack using this online calculator? To use this online calculator for Velocity Ratio of Worm Geared Screw Jack, enter Radius of Effort Wheel (R_w), Number of Teeth in Screw Shaft (T_s) & Pitch (P_s) and hit the calculate button. Here is how the Velocity Ratio of Worm Geared Screw Jack calculation can be explained with given input values -> 6.485145 = (2*pi*0.85*17)/14.

FAQ

What is Velocity Ratio of Worm Geared Screw Jack?

Velocity Ratio of Worm Geared Screw Jack measures the mechanical advantage of the system by comparing the distance moved by the effort to the distance moved by the load. In a worm-geared screw jack, the worm gear drives the screw mechanism, and the velocity ratio is influenced by the gear and screw parameters and is represented as V_i = (2*pi*R_w*T_s)/P_s or Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch. The Radius of Effort Wheel is any of the line segments from its center of the wheel to its perimeter, Number of Teeth in Screw Shaft refers to the number of threads or helical ridges present on the screw shaft of the jack & 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?

Velocity Ratio of Worm Geared Screw Jack measures the mechanical advantage of the system by comparing the distance moved by the effort to the distance moved by the load. In a worm-geared screw jack, the worm gear drives the screw mechanism, and the velocity ratio is influenced by the gear and screw parameters is calculated using Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch. To calculate Velocity Ratio of Worm Geared Screw Jack, you need Radius of Effort Wheel (R_w), Number of Teeth in Screw Shaft (T_s) & Pitch (P_s). With our tool, you need to enter the respective value for Radius of Effort Wheel, Number of Teeth in Screw Shaft & 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 in Screw Shaft & 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 on Worm Wheel)/(2*Pitch)

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