FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Pinion Pitch Circle Radius Formula

Fx Copy

LaTeX Copy

Pinion Pitch Circle Radius is the radius of the circle that passes through the pitch point of the pinion gear in a steering system. Check FAQs

R p = \frac{t \cdot p}{2 \cdot π}

R_p - Pinion Pitch Circle Radius?t - Number of Pinion Teeth?p - Linear or Circular Pitch?π - Archimedes' constant?

Pinion Pitch Circle Radius Example

With values

With units

Only example

Here is how the Pinion Pitch Circle Radius equation looks like with Values.

Here is how the Pinion Pitch Circle Radius equation looks like with Units.

Here is how the Pinion Pitch Circle Radius equation looks like.

10.5042 = \frac{6 \cdot 11}{2 \cdot 3.1416}

10.5042mm = \frac{6 \cdot 11mm}{2 \cdot 3.1416}

10.5042 = \frac{6 \cdot 11}{2 \cdot 3.1416}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Automobile » fx Pinion Pitch Circle Radius

Pinion Pitch Circle Radius Solution

Follow our step by step solution on how to calculate Pinion Pitch Circle Radius?

FIRST Step Consider the formula

R p = \frac{t \cdot p}{2 \cdot π}

Next Step Substitute values of Variables

∴

R p = \frac{6 \cdot 11mm}{2 \cdot π}

Next Step Substitute values of Constants

∴

R p = \frac{6 \cdot 11mm}{2 \cdot 3.1416}

Next Step Convert Units

∴

R p = \frac{6 \cdot 0.011m}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

R p = \frac{6 \cdot 0.011}{2 \cdot 3.1416}

Next Step Evaluate

∴

R p = 0.0105042262440651m

Next Step Convert to Output's Unit

∴

R p = 10.5042262440651mm

LAST Step Rounding Answer

∴

R p = 10.5042mm

Pinion Pitch Circle Radius Formula Elements

Variables

Constants

Pinion Pitch Circle Radius

Pinion Pitch Circle Radius is the radius of the circle that passes through the pitch point of the pinion gear in a steering system.

Symbol: R_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pinion Pitch Circle Radius

Number of Pinion Teeth

Number of Pinion Teeth is the total count of teeth on the pinion gear in a steering system, which affects the overall steering ratio and efficiency.

Symbol: t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Pinion Teeth

Linear or Circular Pitch

Linear or Circular Pitch is the distance between two consecutive threads or grooves in a circular or linear arrangement in a steering system.

Symbol: p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Linear or Circular 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 in Steering Parameters category

Go Angle of Outside Wheel Lock Satisfying Correct Steering Condition

θ out = a \cot (\cot (θ in) + \frac{c}{L})

Go Angle of Inside Wheel Lock Satisfying Correct Steering Condition

θ in = a \cot (\cot (θ out) - \frac{c}{L})

Go Motion Ratio or Installation Ratio in Suspension

M.R. = \frac{ST}{WT}

Go Angle of Inside Lock given Turning Radius of Inner Front Wheel

θ in = a \sin (\frac{L}{R IF + \frac{a tw - c}{2}})

How to Evaluate Pinion Pitch Circle Radius?

Pinion Pitch Circle Radius evaluator uses Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi) to evaluate the Pinion Pitch Circle Radius, Pinion Pitch Circle Radius formula is defined as the radial distance from the centre of the gear to the point where the teeth of the pinion gear and the mating gear make contact, playing a crucial role in determining the gear ratio and overall performance of the gear system. Pinion Pitch Circle Radius is denoted by R_p symbol.

How to evaluate Pinion Pitch Circle Radius using this online evaluator? To use this online evaluator for Pinion Pitch Circle Radius, enter Number of Pinion Teeth (t) & Linear or Circular Pitch (p) and hit the calculate button.

FAQs on Pinion Pitch Circle Radius

What is the formula to find Pinion Pitch Circle Radius?

The formula of Pinion Pitch Circle Radius is expressed as Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi). Here is an example- 10504.23 = (6*0.011)/(2*pi).

How to calculate Pinion Pitch Circle Radius?

With Number of Pinion Teeth (t) & Linear or Circular Pitch (p) we can find Pinion Pitch Circle Radius using the formula - Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi). This formula also uses Archimedes' constant .

Can the Pinion Pitch Circle Radius be negative?

No, the Pinion Pitch Circle Radius, measured in Length cannot be negative.

Which unit is used to measure Pinion Pitch Circle Radius?

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

Let Others Know

✖

Facebook

Twitter

Copied!

Pinion Pitch Circle Radius Formula

Pinion Pitch Circle Radius Example

Pinion Pitch Circle Radius Solution

Pinion Pitch Circle Radius Formula Elements

Other formulas in Steering Parameters category

How to Evaluate Pinion Pitch Circle Radius?

FAQs on Pinion Pitch Circle Radius

Variable Name