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

GoRadius of Steering Wheel given Movement Ratio Formula

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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. Check FAQs

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

r_sw - Radius of Steering Wheel?MR - Movement Ratio?Z_p - Number of Teeth on Pinion?p - Circular Pitch of Pinion?π - Archimedes' constant?

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

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Here is how the Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch equation looks like with Values.

Here is how the Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch equation looks like with Units.

Here is how the Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch equation looks like.

150 = \frac{15}{2 \cdot \frac{3.1416}{9 \cdot 6.9813}}

150mm = \frac{15}{2 \cdot \frac{3.1416}{9 \cdot 6.9813mm}}

150 = \frac{15}{2 \cdot \frac{3.1416}{9 \cdot 6.9813}}

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

Follow our step by step solution on how to calculate Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r sw = \frac{15}{2 \cdot \frac{π}{9 \cdot 6.9813mm}}

Next Step Substitute values of Constants

∴

r sw = \frac{15}{2 \cdot \frac{3.1416}{9 \cdot 6.9813mm}}

Next Step Convert Units

∴

r sw = \frac{15}{2 \cdot \frac{3.1416}{9 \cdot 0.007m}}

Next Step Prepare to Evaluate

∴

r sw = \frac{15}{2 \cdot \frac{3.1416}{9 \cdot 0.007}}

Next Step Evaluate

∴

r sw = 0.150000000043459m

Next Step Convert to Output's Unit

∴

r sw = 150.000000043459mm

LAST Step Rounding Answer

∴

r sw = 150mm

Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch Formula Elements

Variables

Constants

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

Number of Teeth on Pinion

Number of Teeth on Pinion refers to the total count of gear teeth around its circumference.

Symbol: Z_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Pinion

Circular Pitch of Pinion

Circular Pitch of Pinion is the distance between corresponding points on adjacent teeth, measured along the pitch circle.

Symbol: p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Circular Pitch of Pinion

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 Radius of Steering Wheel

Go Radius of Steering Wheel given Movement Ratio

r sw = MR \cdot r

Other formulas in Movement Ratio category

Go Movement Ratio

MR = \frac{r sw}{r}

Go Radius of Pinion Pitch Circle given Movement Ratio

r = \frac{r sw}{MR}

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 Steering Wheel given Movement Ratio and Circular Pinion Pitch?

Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch evaluator uses Radius of Steering Wheel = Movement Ratio/(2*pi/(Number of Teeth on Pinion*Circular Pitch of Pinion)) to evaluate the Radius of Steering Wheel, Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch formula is defined as a measure of the radius of the steering wheel in a vehicle, which is a critical component in the steering system, and is influenced by the movement ratio and circular pinion pitch. Radius of Steering Wheel is denoted by r_sw symbol.

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

FAQs on Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch

What is the formula to find Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch?

The formula of Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch is expressed as Radius of Steering Wheel = Movement Ratio/(2*pi/(Number of Teeth on Pinion*Circular Pitch of Pinion)). Here is an example- 149971.7 = 15/(2*pi/(9*0.00698131701)).

How to calculate Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch?

With Movement Ratio (MR), Number of Teeth on Pinion (Z_p) & Circular Pitch of Pinion (p) we can find Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch using the formula - Radius of Steering Wheel = Movement Ratio/(2*pi/(Number of Teeth on Pinion*Circular Pitch of Pinion)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Radius of Steering Wheel?

Here are the different ways to Calculate Radius of Steering Wheel-

Radius of Steering Wheel=Movement Ratio*Radius of Pitch Circle of Pinion

Can the Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch be negative?

No, the Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch, measured in Length cannot be negative.

Which unit is used to measure Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch?

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

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

​GoRadius of Steering Wheel given Movement Ratio Formula

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

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

Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch Formula Elements

Other Formulas to find Radius of Steering Wheel

Other formulas in Movement Ratio category

How to Evaluate Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch?

FAQs on Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch

Variable Name

GoRadius of Steering Wheel given Movement Ratio Formula