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Velocity Ratio of Worm and Worm Wheel Formula

GoVelocity Ratio of Worm and Worm Wheel, if Worm is Double Threaded Formula

GoVelocity Ratio of Worm and Worm Wheel, if Worm has Multiple Threads 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{D m \cdot T w}{2 \cdot R d}

V_i - Velocity Ratio?D_m - Minimum Diameter of Effort Wheel?T_w - Number of Teeth on Worm Wheel?R_d - Radius of Load Drum?

Velocity Ratio of Worm and Worm Wheel Example

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Here is how the Velocity Ratio of Worm and Worm Wheel equation looks like with Values.

Here is how the Velocity Ratio of Worm and Worm Wheel equation looks like with Units.

Here is how the Velocity Ratio of Worm and Worm Wheel equation looks like.

6.8571 = \frac{0.15 \cdot 32}{2 \cdot 0.35}

6.8571 = \frac{0.15m \cdot 32}{2 \cdot 0.35m}

6.8571 = \frac{0.15 \cdot 32}{2 \cdot 0.35}

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Velocity Ratio of Worm and Worm Wheel Solution

Follow our step by step solution on how to calculate Velocity Ratio of Worm and Worm Wheel?

FIRST Step Consider the formula

V i = \frac{D m \cdot T w}{2 \cdot R d}

Next Step Substitute values of Variables

∴

V i = \frac{0.15m \cdot 32}{2 \cdot 0.35m}

Next Step Prepare to Evaluate

∴

V i = \frac{0.15 \cdot 32}{2 \cdot 0.35}

Next Step Evaluate

∴

V i = 6.85714285714286

LAST Step Rounding Answer

∴

V i = 6.8571

Velocity Ratio of Worm and Worm Wheel Formula Elements

Variables

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

Minimum Diameter of Effort Wheel

Minimum Diameter of Effort Wheel is a chord that runs through the center point of the circle.

Symbol: D_m

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Minimum Diameter of Effort Wheel

Number of Teeth on Worm Wheel

The Number of Teeth on Worm Wheel is the count of teeth on the wheel.

Symbol: T_w

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Teeth on Worm Wheel

Radius of Load Drum

The Radius of Load Drum is a line segment extending from the center of a drum to the circumference of the drum.

Symbol: R_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Load Drum

Other Formulas to find Velocity Ratio

Go Velocity Ratio of Worm and Worm Wheel, if Worm is Double Threaded

V i = \frac{d w \cdot T w}{4 \cdot R d}

Go Velocity Ratio of Worm and Worm Wheel, if Worm has Multiple Threads

V i = \frac{d w \cdot T w}{2 \cdot n \cdot R d}

Other formulas in Worm Wheel category

Go Efficiency of Worm and Worm Wheel

η = \frac{M a}{V i}

How to Evaluate Velocity Ratio of Worm and Worm Wheel?

Velocity Ratio of Worm and Worm Wheel evaluator uses Velocity Ratio = (Minimum Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Radius of Load Drum) to evaluate the Velocity Ratio, Velocity Ratio of Worm and Worm Wheel gear system indicates the mechanical advantage provided by the system. It is the ratio of the distance moved by the effort (input) to the distance moved by the load (output). Velocity Ratio is denoted by V_i symbol.

How to evaluate Velocity Ratio of Worm and Worm Wheel using this online evaluator? To use this online evaluator for Velocity Ratio of Worm and Worm Wheel, enter Minimum Diameter of Effort Wheel (D_m), Number of Teeth on Worm Wheel (T_w) & Radius of Load Drum (R_d) and hit the calculate button.

FAQs on Velocity Ratio of Worm and Worm Wheel

What is the formula to find Velocity Ratio of Worm and Worm Wheel?

The formula of Velocity Ratio of Worm and Worm Wheel is expressed as Velocity Ratio = (Minimum Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Radius of Load Drum). Here is an example- 6.857143 = (0.15*32)/(2*0.35).

How to calculate Velocity Ratio of Worm and Worm Wheel?

With Minimum Diameter of Effort Wheel (D_m), Number of Teeth on Worm Wheel (T_w) & Radius of Load Drum (R_d) we can find Velocity Ratio of Worm and Worm Wheel using the formula - Velocity Ratio = (Minimum Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Radius of Load Drum).

What are the other ways to Calculate Velocity Ratio?

Here are the different ways to Calculate Velocity Ratio-

Velocity Ratio=(Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(4*Radius of Load Drum)
Velocity Ratio=(Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Number of Threads*Radius of Load Drum)

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