Velocity Ratio of Worm Geared Screw Jack with Double Threaded Calculator

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Engineering Mechanics

Friction

General Principal to Dynamics

Properties of Planes and Solids

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Machine Design Characteristics

Pulley Block

Worm Wheel

✖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_ww]			+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_scw]			+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 Double Threaded [i]

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Formula

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Velocity Ratio of Worm Geared Screw Jack with Double Threaded

Formula

`"i" = (2*pi*"R"_{"w"}*"T"_{"ww"})/(2*"P"_{"scw"})`

Example

`"6.103666"=(2*pi*"0.85m"*"32")/(2*"14m")`

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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)
i = (2*pi*R_w*T_ww)/(2*P_scw)
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

i = (2*pi*R_w*T_ww)/(2*P_scw) --> (2*pi*0.85*32)/(2*14)

Evaluating ... ...

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 00.020 seconds)

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< 10+ 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)

Velocity Ratio of Worm Geared Screw Jack with Multiple Threads

Go Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(Number of Threads*Pitch)

Efficiency of Screw Jack

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

Velocity Ratio of Worm Geared Screw Jack with Double Threaded

Go Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Pitch)

Velocity Ratio of Worm Geared Screw Jack

Go Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch

Velocity Ratio of Differential Screw Jack

Go Velocity Ratio = (2*pi*Length of Lever Arm)/(Pitch of Screw A-Pitch of Screw B)

Velocity Ratio of Simple Screw Jack

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

Efficiency of Differential Screw Jack

Go Efficiency = Mechanical Advantage/Velocity Ratio

Efficiency of Worm Geared Screw Jack

Go Efficiency = Mechanical Advantage/Velocity Ratio

Velocity Ratio of Worm Geared Screw Jack with Double Threaded Formula

Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Pitch)
i = (2*pi*R_w*T_ww)/(2*P_scw)

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 formula is defined as the ratio of two times π multiplied to radius of effort wheel, number of teeth on worm wheel to the 2 times pitch of the screw. Velocity Ratio is denoted by i 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 (R_w), Number of Teeth on Worm Wheel (T_ww) & Pitch (P_scw) 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 -> 3.231352 = (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 formula is defined as the ratio of two times π multiplied to radius of effort wheel, number of teeth on worm wheel to the 2 times pitch of the screw and is represented as i = (2*pi*R_w*T_ww)/(2*P_scw) 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 formula is defined as the ratio of two times π multiplied to radius of effort wheel, number of teeth on worm wheel to the 2 times pitch of the screw 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 (R_w), Number of Teeth on Worm Wheel (T_ww) & Pitch (P_scw). 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 4 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
Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(Number of Threads*Pitch)

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