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Radius of Base Circle of Wheel Formula

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Radius of base circle of wheel is the radius of circle from which the involute portion of the tooth profile is generated. Check FAQs

R b = R wheel \cdot \cos (Φ gear)

R_b - Radius of Base Circle of Wheel?R_wheel - Radius of Pitch Circle of Wheel?Φ_gear - Pressure Angle of Gear?

Radius of Base Circle of Wheel Example

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Here is how the Radius of Base Circle of Wheel equation looks like with Values.

Here is how the Radius of Base Circle of Wheel equation looks like with Units.

Here is how the Radius of Base Circle of Wheel equation looks like.

10.5158 = 12.4 \cdot \cos (32)

10.5158mm = 12.4mm \cdot \cos (32°)

10.5158 = 12.4 \cdot \cos (32)

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Radius of Base Circle of Wheel Solution

Follow our step by step solution on how to calculate Radius of Base Circle of Wheel?

FIRST Step Consider the formula

R b = R wheel \cdot \cos (Φ gear)

Next Step Substitute values of Variables

∴

R b = 12.4mm \cdot \cos (32°)

Next Step Convert Units

∴

R b = 0.0124m \cdot \cos (0.5585rad)

Next Step Prepare to Evaluate

∴

R b = 0.0124 \cdot \cos (0.5585)

Next Step Evaluate

∴

R b = 0.0105157963923404m

Next Step Convert to Output's Unit

∴

R b = 10.5157963923404mm

LAST Step Rounding Answer

∴

R b = 10.5158mm

Radius of Base Circle of Wheel Formula Elements

Variables

Functions

Radius of Base Circle of Wheel

Radius of base circle of wheel is the radius of circle from which the involute portion of the tooth profile is generated.

Symbol: R_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Base Circle of Wheel

Radius of Pitch Circle of Wheel

Radius of pitch circle of wheel is radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.

Symbol: R_wheel

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Pitch Circle of Wheel

Pressure Angle of Gear

The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

Symbol: Φ_gear

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Pressure Angle of Gear

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Toothed Gear Terminologies category

Go Torque Exerted on Gear Shaft

τ = P t \cdot \frac{d pitch circle}{2}

Go Work Output on Driven

w = R \cdot \cos (α 2 + Φ) \cdot π \cdot d 2 \cdot N 2

Go Work Output on Driver

w = R \cdot \cos (α 1 - Φ) \cdot π \cdot d 1 \cdot N 1

Go Addendum of Pinion

A p = \frac{Z p}{2} \cdot (\sqrt{1 + \frac{T}{Z p} \cdot (\frac{T}{Z p} + 2) \cdot {(\sin (Φ gear))}^{2}} - 1)

How to Evaluate Radius of Base Circle of Wheel?

Radius of Base Circle of Wheel evaluator uses Radius of Base Circle of Wheel = Radius of Pitch Circle of Wheel*cos(Pressure Angle of Gear) to evaluate the Radius of Base Circle of Wheel, Radius of Base Circle of Wheel formula is defined as the distance from the center of the wheel to the base of the gear tooth, which plays a crucial role in the design and functionality of toothed gear systems, particularly in determining the gear's overall size and shape. Radius of Base Circle of Wheel is denoted by R_b symbol.

How to evaluate Radius of Base Circle of Wheel using this online evaluator? To use this online evaluator for Radius of Base Circle of Wheel, enter Radius of Pitch Circle of Wheel (R_wheel) & Pressure Angle of Gear (Φ_gear) and hit the calculate button.

FAQs on Radius of Base Circle of Wheel

What is the formula to find Radius of Base Circle of Wheel?

The formula of Radius of Base Circle of Wheel is expressed as Radius of Base Circle of Wheel = Radius of Pitch Circle of Wheel*cos(Pressure Angle of Gear). Here is an example- 10515.8 = 0.0124*cos(0.55850536063808).

How to calculate Radius of Base Circle of Wheel?

With Radius of Pitch Circle of Wheel (R_wheel) & Pressure Angle of Gear (Φ_gear) we can find Radius of Base Circle of Wheel using the formula - Radius of Base Circle of Wheel = Radius of Pitch Circle of Wheel*cos(Pressure Angle of Gear). This formula also uses Cosine function(s).

Can the Radius of Base Circle of Wheel be negative?

No, the Radius of Base Circle of Wheel, measured in Length cannot be negative.

Which unit is used to measure Radius of Base Circle of Wheel?

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

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Radius of Base Circle of Wheel Formula

Radius of Base Circle of Wheel Example

Radius of Base Circle of Wheel Solution

Radius of Base Circle of Wheel Formula Elements

Other formulas in Toothed Gear Terminologies category

How to Evaluate Radius of Base Circle of Wheel?

FAQs on Radius of Base Circle of Wheel

Variable Name