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Movement Ratio Formula

GoMovement Ratio given Number of Teeth on Pinion Formula

GoMovement Ratio given Load and Effort Formula

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Movement Ratio is the ratio of the output movement to the input movement in a mechanical system. It indicates how much the system amplifies or reduces motion. Check FAQs

MR = \frac{r sw}{r}

MR - Movement Ratio?r_sw - Radius of Steering Wheel?r - Radius of Pitch Circle of Pinion?

Movement Ratio Example

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With units

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Here is how the Movement Ratio equation looks like with Values.

Here is how the Movement Ratio equation looks like with Units.

Here is how the Movement Ratio equation looks like.

15 = \frac{150}{10}

15 = \frac{150mm}{10mm}

15 = \frac{150}{10}

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Movement Ratio Solution

Follow our step by step solution on how to calculate Movement Ratio?

FIRST Step Consider the formula

MR = \frac{r sw}{r}

Next Step Substitute values of Variables

∴

MR = \frac{150mm}{10mm}

Next Step Convert Units

∴

MR = \frac{0.15m}{0.01m}

Next Step Prepare to Evaluate

∴

MR = \frac{0.15}{0.01}

LAST Step Evaluate

∴

MR = 15

Movement Ratio Formula Elements

Variables

Movement Ratio

Movement Ratio is the ratio of the output movement to the input movement in a mechanical system. It indicates how much the system amplifies or reduces motion.

Symbol: MR

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Movement Ratio

Radius of Steering Wheel

Radius of Steering Wheel is the distance from the center of the wheel to its edge. It affects the leverage and effort required to turn the steering wheel.

Symbol: r_sw

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Steering Wheel

Radius of Pitch Circle of Pinion

Radius of Pitch Circle of Pinion is the distance from the center of the pinion to the pitch circle, where the gear teeth engage with the teeth of a mating gear.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Pitch Circle of Pinion

Other Formulas to find Movement Ratio

Go Movement Ratio given Number of Teeth on Pinion

MR = 2 \cdot π \cdot \frac{r sw}{Z p \cdot p}

Go Movement Ratio given Load and Effort

MR = \frac{W}{E}

Other formulas in Movement Ratio category

Go Radius of Steering Wheel given Movement Ratio

r sw = MR \cdot r

Go Radius of Pinion Pitch Circle given Movement Ratio

r = \frac{r sw}{MR}

Go Pinion Teeth given Movement Ratio

Z p = \frac{2 \cdot π \cdot r sw}{p \cdot MR}

Go Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch

r sw = \frac{MR}{2 \cdot \frac{π}{Z p \cdot p}}

How to Evaluate Movement Ratio?

Movement Ratio evaluator uses Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion to evaluate the Movement Ratio, Movement Ratio formula is defined as a measure of the relationship between the rate of return of a portfolio and the rate of return of a benchmark, providing insights into the portfolio's performance relative to the benchmark. Movement Ratio is denoted by MR symbol.

How to evaluate Movement Ratio using this online evaluator? To use this online evaluator for Movement Ratio, enter Radius of Steering Wheel (r_sw) & Radius of Pitch Circle of Pinion (r) and hit the calculate button.

FAQs on Movement Ratio

What is the formula to find Movement Ratio?

The formula of Movement Ratio is expressed as Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion. Here is an example- 15 = 0.15/0.01.

How to calculate Movement Ratio?

With Radius of Steering Wheel (r_sw) & Radius of Pitch Circle of Pinion (r) we can find Movement Ratio using the formula - Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion.

What are the other ways to Calculate Movement Ratio?

Here are the different ways to Calculate Movement Ratio-

Movement Ratio=2*pi*Radius of Steering Wheel/(Number of Teeth on Pinion*Circular Pitch of Pinion)
Movement Ratio=Output Load at Rack/Input Effort at Stepping Wheel

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: Unit

Movement Ratio Formula

​GoMovement Ratio given Number of Teeth on Pinion Formula

​GoMovement Ratio given Load and Effort Formula

Movement Ratio Example

Movement Ratio Solution

Movement Ratio Formula Elements

Other Formulas to find Movement Ratio

Other formulas in Movement Ratio category

How to Evaluate Movement Ratio?

FAQs on Movement Ratio

Variable Name

GoMovement Ratio given Number of Teeth on Pinion Formula

GoMovement Ratio given Load and Effort Formula