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
Pr=Pttan(Φ)
Pr - Radial Force on Spur Gear?Pt - 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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With units
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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.

560.7709Edit=952Edittan(30.5Edit)
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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
Pr=Pttan(Φ)
Next Step Substitute values of Variables
Pr=952Ntan(30.5°)
Next Step Convert Units
Pr=952Ntan(0.5323rad)
Next Step Prepare to Evaluate
Pr=952tan(0.5323)
Next Step Evaluate
Pr=560.770855632236N
LAST Step Rounding Answer
Pr=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: Pr
Measurement: ForceUnit: N
Note: Value should be greater than 0.
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: Pt
Measurement: ForceUnit: N
Note: Value should be greater than 0.
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.
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
Mt=Ptd2
​Go Tangential Force on Gear given Torque and Pitch Circle Diameter
Pt=2Mtd
​Go Tangential Force on Gear given Radial Force and Pressure Angle
Pt=Prcot(Φ)
​Go Resultant Force on Gear
Prs=Ptcos(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 Pr 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 (Pt) & 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 (Pt) & 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 (tan) 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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