Radius of Base Circle of Pinion Calculator

✖The Radius of Pitch Circle of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.ⓘ Radius of Pitch Circle of Pinion [r]			+10% -10%
✖The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.ⓘ Pressure Angle of Gear [Φ_gear]			+10% -10%

✖Radius of base circle of pinion is the radius of circle from which the involute portion of the tooth profile is generated.ⓘ Radius of Base Circle of Pinion [r_b]

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Radius of Base Circle of Pinion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Base Circle of Pinion = Radius of Pitch Circle of Pinion*cos(Pressure Angle of Gear)
r_b = r*cos(Φ_gear)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Radius of Base Circle of Pinion - (Measured in Meter) - Radius of base circle of pinion is the radius of circle from which the involute portion of the tooth profile is generated.
Radius of Pitch Circle of Pinion - (Measured in Meter) - The Radius of Pitch Circle of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.
Pressure Angle of Gear - (Measured in Radian) - The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

STEP 1: Convert Input(s) to Base Unit

Radius of Pitch Circle of Pinion: 10.2 Millimeter --> 0.0102 Meter (Check conversion here)
Pressure Angle of Gear: 32 Degree --> 0.55850536063808 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_b = r*cos(Φ_gear) --> 0.0102*cos(0.55850536063808)

Evaluating ... ...

r_b = 0.00865009058079612

STEP 3: Convert Result to Output's Unit

0.00865009058079612 Meter -->8.65009058079612 Millimeter (Check conversion here)

FINAL ANSWER

8.65009058079612 ≈ 8.650091 Millimeter <-- Radius of Base Circle of Pinion

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Toothed Gearing » Mechanical » Toothed Gear Terminologies » Radius of Base Circle of Pinion

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< Toothed Gear Terminologies Calculators

Addendum of Pinion

LaTeX Go Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1)

Work Output on Driven

LaTeX Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*pi*Pitch Circle Diameter of Gear 2*Speed of Gear 2

Work Output on Driver

LaTeX Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1

Torque Exerted on Gear Shaft

LaTeX Go Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2

Radius of Base Circle of Pinion Formula

LaTeX Go

Radius of Base Circle of Pinion = Radius of Pitch Circle of Pinion*cos(Pressure Angle of Gear)
r_b = r*cos(Φ_gear)

What is the function of pinion?

Pinion converts the rotational motion of the steering wheel into the linear motion needed to turn the wheels. It provides a gear reduction, making it easier to turn the wheels.

Why is pinion weaker than gear?

When the different materials are used, the product decides the weaker between the pinion and gear. The Lewis form factor is always less for a pinion compared with gear. When the same material is used for the pinion and gear, the pinion is always weaker than the gear

How to Calculate Radius of Base Circle of Pinion?

Radius of Base Circle of Pinion calculator uses Radius of Base Circle of Pinion = Radius of Pitch Circle of Pinion*cos(Pressure Angle of Gear) to calculate the Radius of Base Circle of Pinion, Radius of Base Circle of Pinion formula is defined as the radius of the circle that forms the base of the toothed pinion gear, which is a critical parameter in designing and manufacturing gear systems, as it affects the gear's overall performance and efficiency. Radius of Base Circle of Pinion is denoted by r_b symbol.

How to calculate Radius of Base Circle of Pinion using this online calculator? To use this online calculator for Radius of Base Circle of Pinion, enter Radius of Pitch Circle of Pinion (r) & Pressure Angle of Gear (Φ_gear) and hit the calculate button. Here is how the Radius of Base Circle of Pinion calculation can be explained with given input values -> 8650.091 = 0.0102*cos(0.55850536063808).

FAQ

What is Radius of Base Circle of Pinion?

Radius of Base Circle of Pinion formula is defined as the radius of the circle that forms the base of the toothed pinion gear, which is a critical parameter in designing and manufacturing gear systems, as it affects the gear's overall performance and efficiency and is represented as r_b = r*cos(Φ_gear) or Radius of Base Circle of Pinion = Radius of Pitch Circle of Pinion*cos(Pressure Angle of Gear). The Radius of Pitch Circle of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space & The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

How to calculate Radius of Base Circle of Pinion?

Radius of Base Circle of Pinion formula is defined as the radius of the circle that forms the base of the toothed pinion gear, which is a critical parameter in designing and manufacturing gear systems, as it affects the gear's overall performance and efficiency is calculated using Radius of Base Circle of Pinion = Radius of Pitch Circle of Pinion*cos(Pressure Angle of Gear). To calculate Radius of Base Circle of Pinion, you need Radius of Pitch Circle of Pinion (r) & Pressure Angle of Gear (Φ_gear). With our tool, you need to enter the respective value for Radius of Pitch Circle of Pinion & Pressure Angle of Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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