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Radius of Pinion Pitch Circle given Movement Ratio Formula

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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. Check FAQs

r = \frac{r sw}{MR}

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

Radius of Pinion Pitch Circle given Movement Ratio Example

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Here is how the Radius of Pinion Pitch Circle given Movement Ratio equation looks like with Values.

Here is how the Radius of Pinion Pitch Circle given Movement Ratio equation looks like with Units.

Here is how the Radius of Pinion Pitch Circle given Movement Ratio equation looks like.

10 = \frac{150}{15}

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

10 = \frac{150}{15}

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Radius of Pinion Pitch Circle given Movement Ratio Solution

Follow our step by step solution on how to calculate Radius of Pinion Pitch Circle given Movement Ratio?

FIRST Step Consider the formula

r = \frac{r sw}{MR}

Next Step Substitute values of Variables

∴

r = \frac{150mm}{15}

Next Step Convert Units

∴

r = \frac{0.15m}{15}

Next Step Prepare to Evaluate

∴

r = \frac{0.15}{15}

Next Step Evaluate

∴

r = 0.01m

LAST Step Convert to Output's Unit

∴

r = 10mm

Radius of Pinion Pitch Circle given Movement Ratio Formula Elements

Variables

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

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

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

Other formulas in Movement Ratio category

Go Movement Ratio

MR = \frac{r sw}{r}

Go Radius of Steering Wheel given Movement Ratio

r sw = MR \cdot r

Go Movement Ratio given Number of Teeth on Pinion

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

Go Pinion Teeth given Movement Ratio

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

How to Evaluate Radius of Pinion Pitch Circle given Movement Ratio?

Radius of Pinion Pitch Circle given Movement Ratio evaluator uses Radius of Pitch Circle of Pinion = Radius of Steering Wheel/Movement Ratio to evaluate the Radius of Pitch Circle of Pinion, Radius of Pinion Pitch Circle given Movement Ratio formula is defined as a dimension that characterizes the pitch circle of a pinion gear in a mechanical system, providing a crucial parameter for gear design and engineering applications, particularly in the context of gear trains and power transmission systems. Radius of Pitch Circle of Pinion is denoted by r symbol.

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

FAQs on Radius of Pinion Pitch Circle given Movement Ratio

What is the formula to find Radius of Pinion Pitch Circle given Movement Ratio?

The formula of Radius of Pinion Pitch Circle given Movement Ratio is expressed as Radius of Pitch Circle of Pinion = Radius of Steering Wheel/Movement Ratio. Here is an example- 10000 = 0.15/15.

How to calculate Radius of Pinion Pitch Circle given Movement Ratio?

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

Can the Radius of Pinion Pitch Circle given Movement Ratio be negative?

Yes, the Radius of Pinion Pitch Circle given Movement Ratio, measured in Length can be negative.

Which unit is used to measure Radius of Pinion Pitch Circle given Movement Ratio?

Radius of Pinion Pitch Circle given Movement Ratio is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Pinion Pitch Circle given Movement Ratio can be measured.

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Radius of Pinion Pitch Circle given Movement Ratio Formula

Radius of Pinion Pitch Circle given Movement Ratio Example

Radius of Pinion Pitch Circle given Movement Ratio Solution

Radius of Pinion Pitch Circle given Movement Ratio Formula Elements

Other formulas in Movement Ratio category

How to Evaluate Radius of Pinion Pitch Circle given Movement Ratio?

FAQs on Radius of Pinion Pitch Circle given Movement Ratio

Variable Name