Velocity Ratio of Worm Geared Screw Jack with Multiple Threads 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%
✖The Number of Teeth on Worm Wheel is the count of teeth on the wheel.ⓘ Number of Teeth on Worm Wheel [T_w]			+10% -10%
✖Number of Threads is total no. of threads in a screw.ⓘ Number of Threads [n]			+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 with Multiple Threads [V_i]

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Velocity Ratio of Worm Geared Screw Jack with Multiple Threads Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(Number of Threads*Pitch)
V_i = (2*pi*R_w*T_w)/(n*P_s)
This formula uses 1 Constants, 5 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.
Number of Threads - Number of Threads is total no. of threads in a screw.
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
Number of Threads: 2 --> 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_w)/(n*P_s) --> (2*pi*0.85*32)/(2*14)

Evaluating ... ...

V_i = 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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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Screw Jack Calculators

Torque Required while Load is Descending in Screw Jack

LaTeX 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

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 Multiple Threads Formula

LaTeX Go

Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(Number of Threads*Pitch)
V_i = (2*pi*R_w*T_w)/(n*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 with Multiple Threads?

Velocity Ratio of Worm Geared Screw Jack with Multiple Threads calculator uses Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(Number of Threads*Pitch) to calculate the Velocity Ratio, Velocity Ratio of Worm Geared Screw Jack with Multiple Threads is affected by the number of threads, which determines the lead of the screw. Velocity Ratio is denoted by V_i symbol.

How to calculate Velocity Ratio of Worm Geared Screw Jack with Multiple Threads using this online calculator? To use this online calculator for Velocity Ratio of Worm Geared Screw Jack with Multiple Threads, enter Radius of Effort Wheel (R_w), Number of Teeth on Worm Wheel (T_w), Number of Threads (n) & Pitch (P_s) and hit the calculate button. Here is how the Velocity Ratio of Worm Geared Screw Jack with Multiple Threads 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 Multiple Threads?

Velocity Ratio of Worm Geared Screw Jack with Multiple Threads is affected by the number of threads, which determines the lead of the screw and is represented as V_i = (2*pi*R_w*T_w)/(n*P_s) or Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(Number of Threads*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, Number of Threads is total no. of threads in a screw & 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 Multiple Threads?

Velocity Ratio of Worm Geared Screw Jack with Multiple Threads is affected by the number of threads, which determines the lead of the screw is calculated using Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(Number of Threads*Pitch). To calculate Velocity Ratio of Worm Geared Screw Jack with Multiple Threads, you need Radius of Effort Wheel (R_w), Number of Teeth on Worm Wheel (T_w), Number of Threads (n) & Pitch (P_s). With our tool, you need to enter the respective value for Radius of Effort Wheel, Number of Teeth on Worm Wheel, Number of Threads & 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, Number of Threads & 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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