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Radial Force of Gear given Tangential Force and Pressure Angle Formula

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Radial Force on Spur Gear is defined as the force acting on the gear in the radial direction of the gear. Check FAQs

P r = P t \cdot \tan (Φ)

P_r - Radial Force on Spur Gear?P_t - Tangential Force on Spur Gear?Φ - Pressure Angle of Spur Gear?

Radial Force of Gear given Tangential Force and Pressure Angle Example

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Here is how the Radial Force of Gear given Tangential Force and Pressure Angle equation looks like with Values.

Here is how the Radial Force of Gear given Tangential Force and Pressure Angle equation looks like with Units.

Here is how the Radial Force of Gear given Tangential Force and Pressure Angle equation looks like.

560.7709 = 952 \cdot \tan (30.5)

560.7709N = 952N \cdot \tan (30.5°)

560.7709 = 952 \cdot \tan (30.5)

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Radial Force of Gear given Tangential Force and Pressure Angle Solution

Follow our step by step solution on how to calculate Radial Force of Gear given Tangential Force and Pressure Angle?

FIRST Step Consider the formula

P r = P t \cdot \tan (Φ)

Next Step Substitute values of Variables

∴

P r = 952N \cdot \tan (30.5°)

Next Step Convert Units

∴

P r = 952N \cdot \tan (0.5323rad)

Next Step Prepare to Evaluate

∴

P r = 952 \cdot \tan (0.5323)

Next Step Evaluate

∴

P r = 560.770855632236N

LAST Step Rounding Answer

∴

P r = 560.7709N

Radial Force of Gear given Tangential Force and Pressure Angle Formula Elements

Variables

Functions

Radial Force on Spur Gear

Radial Force on Spur Gear is defined as the force acting on the gear in the radial direction of the gear.

Symbol: P_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Radial Force on Spur Gear

Tangential Force on Spur Gear

Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference..

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force on Spur Gear

Pressure Angle of Spur Gear

Pressure Angle of Spur Gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Pressure Angle of Spur Gear

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Dynamics of Spur Gear category

Go Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

M t = P t \cdot \frac{d}{2}

Go Tangential Force on Gear given Torque and Pitch Circle Diameter

P t = 2 \cdot \frac{M t}{d}

Go Tangential Force on Gear given Radial Force and Pressure Angle

P t = P r \cdot \cot (Φ)

Go Resultant Force on Gear

P rs = \frac{P t}{\cos (Φ)}

How to Evaluate Radial Force of Gear given Tangential Force and Pressure Angle?

Radial Force of Gear given Tangential Force and Pressure Angle evaluator uses Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear) to evaluate the Radial Force on Spur Gear, Radial Force of Gear given Tangential Force and Pressure Angle is defined as the force acting onto the gear in the direction radially to itself. This causes side thrust onto the bearing. Radial Force of Gear depends on tangential force and pressure angle. Radial Force on Spur Gear is denoted by P_r symbol.

How to evaluate Radial Force of Gear given Tangential Force and Pressure Angle using this online evaluator? To use this online evaluator for Radial Force of Gear given Tangential Force and Pressure Angle, enter Tangential Force on Spur Gear (P_t) & Pressure Angle of Spur Gear (Φ) and hit the calculate button.

FAQs on Radial Force of Gear given Tangential Force and Pressure Angle

What is the formula to find Radial Force of Gear given Tangential Force and Pressure Angle?

The formula of Radial Force of Gear given Tangential Force and Pressure Angle is expressed as Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear). Here is an example- 560.7709 = 952*tan(0.53232542185817).

How to calculate Radial Force of Gear given Tangential Force and Pressure Angle?

With Tangential Force on Spur Gear (P_t) & Pressure Angle of Spur Gear (Φ) we can find Radial Force of Gear given Tangential Force and Pressure Angle using the formula - Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear). This formula also uses Tangent function(s).

Can the Radial Force of Gear given Tangential Force and Pressure Angle be negative?

No, the Radial Force of Gear given Tangential Force and Pressure Angle, measured in Force cannot be negative.

Which unit is used to measure Radial Force of Gear given Tangential Force and Pressure Angle?

Radial Force of Gear given Tangential Force and Pressure Angle is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Radial Force of Gear given Tangential Force and Pressure Angle can be measured.

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Radial Force of Gear given Tangential Force and Pressure Angle Formula

Radial Force of Gear given Tangential Force and Pressure Angle Example

Radial Force of Gear given Tangential Force and Pressure Angle Solution

Radial Force of Gear given Tangential Force and Pressure Angle Formula Elements

Other formulas in Dynamics of Spur Gear category

How to Evaluate Radial Force of Gear given Tangential Force and Pressure Angle?

FAQs on Radial Force of Gear given Tangential Force and Pressure Angle

Variable Name