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Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Formula

GoRadius of Pinion at Midpoint along Face Width for Bevel Gear Formula

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The Radius of Pinion at Midpoint is the radius of the pinion at the midpoint along the face width. Check FAQs

r m = \frac{M t}{P t}

r_m - Radius of Pinion at Midpoint?M_t - Torque Transmitted by Bevel Pinion?P_t - Tangential Force Transmitted by Bevel Gear?

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Example

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Here is how the Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear equation looks like with Values.

Here is how the Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear equation looks like with Units.

Here is how the Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear equation looks like.

23.0009 = \frac{17092}{743.1}

23.0009mm = \frac{17092N*mm}{743.1N}

23.0009 = \frac{17092}{743.1}

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Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Solution

Follow our step by step solution on how to calculate Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear?

FIRST Step Consider the formula

r m = \frac{M t}{P t}

Next Step Substitute values of Variables

∴

r m = \frac{17092N*mm}{743.1N}

Next Step Convert Units

∴

r m = \frac{17.092N*m}{743.1N}

Next Step Prepare to Evaluate

∴

r m = \frac{17.092}{743.1}

Next Step Evaluate

∴

r m = 0.0230009419997309m

Next Step Convert to Output's Unit

∴

r m = 23.0009419997309mm

LAST Step Rounding Answer

∴

r m = 23.0009mm

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Formula Elements

Variables

Radius of Pinion at Midpoint

The Radius of Pinion at Midpoint is the radius of the pinion at the midpoint along the face width.

Symbol: r_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Pinion at Midpoint

Torque Transmitted by Bevel Pinion

Torque transmitted by bevel pinion is defined as the amount of torque or the rotating power transferred by the bevel gear.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque Transmitted by Bevel Pinion

Tangential Force Transmitted by Bevel Gear

Tangential force transmitted by bevel gear is the force acting tangentially to the surface and is a result of the rated torque on the machine element.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force Transmitted by Bevel Gear

Other Formulas to find Radius of Pinion at Midpoint

Go Radius of Pinion at Midpoint along Face Width for Bevel Gear

r m = \frac{D p - (b \cdot \sin (γ))}{2}

Other formulas in Geometric Properties category

Go Virtual or Formative Number of Teeth of Bevel Gear

z' = \frac{2 \cdot r b}{m}

Go Actual Number of Teeth on Bevel Gear

z g = z' \cdot \cos (γ)

Go Cone Distance of Bevel Gear

A 0 = \sqrt{{(\frac{D p}{2})}^{2} + {(\frac{D g}{2})}^{2}}

Go Back Cone Radius of Bevel Gear

r b = \frac{m \cdot z'}{2}

How to Evaluate Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear?

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear evaluator uses Radius of Pinion at Midpoint = Torque Transmitted by Bevel Pinion/Tangential Force Transmitted by Bevel Gear to evaluate the Radius of Pinion at Midpoint, Radius of Pinion at midpoint given Torque and Tangential Force for Bevel Gear is used to calculate the parameters like tangential force. it is the radius of the smaller of the pair of bevel gears. Radius of Pinion at Midpoint is denoted by r_m symbol.

How to evaluate Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear using this online evaluator? To use this online evaluator for Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear, enter Torque Transmitted by Bevel Pinion (M_t) & Tangential Force Transmitted by Bevel Gear (P_t) and hit the calculate button.

FAQs on Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear

What is the formula to find Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear?

The formula of Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear is expressed as Radius of Pinion at Midpoint = Torque Transmitted by Bevel Pinion/Tangential Force Transmitted by Bevel Gear. Here is an example- 23000.94 = 17.092/743.1.

How to calculate Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear?

With Torque Transmitted by Bevel Pinion (M_t) & Tangential Force Transmitted by Bevel Gear (P_t) we can find Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear using the formula - Radius of Pinion at Midpoint = Torque Transmitted by Bevel Pinion/Tangential Force Transmitted by Bevel Gear.

What are the other ways to Calculate Radius of Pinion at Midpoint?

Here are the different ways to Calculate Radius of Pinion at Midpoint-

Radius of Pinion at Midpoint=(Pitch Circle Diameter of Bevel Pinion-(Face Width of Bevel Gear Tooth*sin(Pitch Angle for Bevel Gear)))/2

Can the Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear be negative?

No, the Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear, measured in Length cannot be negative.

Which unit is used to measure Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear?

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear 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 at Midpoint given Torque and Tangential Force for Bevel Gear can be measured.

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Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Formula

​GoRadius of Pinion at Midpoint along Face Width for Bevel Gear Formula

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Example

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Solution

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Formula Elements

Other Formulas to find Radius of Pinion at Midpoint

Other formulas in Geometric Properties category

How to Evaluate Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear?

FAQs on Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear

Variable Name

GoRadius of Pinion at Midpoint along Face Width for Bevel Gear Formula