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Velocity Ratio of Worm Geared Screw Jack Formula

GoVelocity Ratio of Simple Screw Jack Formula

GoVelocity Ratio of Differential Screw Jack Formula

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Velocity Ratio is the distance through which any part of a machine moves to that which the driving part moves during the same time. Check FAQs

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

V_i - Velocity Ratio?R_w - Radius of Effort Wheel?T_s - Number of Teeth in Screw Shaft?P_s - Pitch?π - Archimedes' constant?

Velocity Ratio of Worm Geared Screw Jack Example

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Here is how the Velocity Ratio of Worm Geared Screw Jack equation looks like with Values.

Here is how the Velocity Ratio of Worm Geared Screw Jack equation looks like with Units.

Here is how the Velocity Ratio of Worm Geared Screw Jack equation looks like.

6.4851 = \frac{2 \cdot 3.1416 \cdot 0.85 \cdot 17}{14}

6.4851 = \frac{2 \cdot 3.1416 \cdot 0.85m \cdot 17}{14m}

6.4851 = \frac{2 \cdot 3.1416 \cdot 0.85 \cdot 17}{14}

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Velocity Ratio of Worm Geared Screw Jack Solution

Follow our step by step solution on how to calculate Velocity Ratio of Worm Geared Screw Jack?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

V i = \frac{2 \cdot 3.1416 \cdot 0.85m \cdot 17}{14m}

Next Step Prepare to Evaluate

∴

V i = \frac{2 \cdot 3.1416 \cdot 0.85 \cdot 17}{14}

Next Step Evaluate

∴

V i = 6.48514483491036

LAST Step Rounding Answer

∴

V i = 6.4851

Velocity Ratio of Worm Geared Screw Jack Formula Elements

Variables

Constants

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.

Symbol: V_i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Velocity Ratio

Radius of Effort Wheel

The Radius of Effort Wheel is any of the line segments from its center of the wheel to its perimeter.

Symbol: R_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Effort Wheel

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.

Symbol: T_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Teeth in Screw Shaft

Pitch

Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.

Symbol: P_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pitch

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Velocity Ratio

Go Velocity Ratio of Simple Screw Jack

V i = \frac{2 \cdot π \cdot l}{P s}

Go Velocity Ratio of Differential Screw Jack

V i = \frac{2 \cdot π \cdot l}{p a - p b}

Go Velocity Ratio of Worm Geared Screw Jack with Double Threaded

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

Go Velocity Ratio of Worm Geared Screw Jack with Multiple Threads

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

Other formulas in Screw Jack category

Go Torque Required while Load is Ascending in Screw Jack

T asc = \frac{d m}{2} \cdot W \cdot \tan (θ + Φ)

Go Torque Required while Load is Descending in Screw Jack

T des = \frac{d m}{2} \cdot W \cdot \tan (θ - Φ)

Go Efficiency of Screw Jack

η = \frac{\tan (ψ)}{\tan (ψ + θ)} \cdot 100

Go Efficiency of Differential Screw Jack

η = \frac{M a}{V i}

How to Evaluate Velocity Ratio of Worm Geared Screw Jack?

Velocity Ratio of Worm Geared Screw Jack evaluator uses Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch to evaluate 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 evaluate Velocity Ratio of Worm Geared Screw Jack using this online evaluator? To use this online evaluator 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.

FAQs on Velocity Ratio of Worm Geared Screw Jack

What is the formula to find Velocity Ratio of Worm Geared Screw Jack?

The formula of Velocity Ratio of Worm Geared Screw Jack is expressed as Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch. Here is an example- 6.485145 = (2*pi*0.85*17)/14.

How to calculate Velocity Ratio of Worm Geared Screw Jack?

With Radius of Effort Wheel (R_w), Number of Teeth in Screw Shaft (T_s) & Pitch (P_s) we can find Velocity Ratio of Worm Geared Screw Jack using the formula - Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch. This formula also uses Archimedes' constant .

What are the other ways to Calculate Velocity Ratio?

Here are the different ways to Calculate Velocity Ratio-

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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Velocity Ratio of Worm Geared Screw Jack Formula

​GoVelocity Ratio of Simple Screw Jack Formula

​GoVelocity Ratio of Differential Screw Jack Formula

Velocity Ratio of Worm Geared Screw Jack Example

Velocity Ratio of Worm Geared Screw Jack Solution

Velocity Ratio of Worm Geared Screw Jack Formula Elements

Other Formulas to find Velocity Ratio

Other formulas in Screw Jack category

How to Evaluate Velocity Ratio of Worm Geared Screw Jack?

FAQs on Velocity Ratio of Worm Geared Screw Jack

Variable Name

GoVelocity Ratio of Simple Screw Jack Formula

GoVelocity Ratio of Differential Screw Jack Formula