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Tangential Force on Gear given Radial Force and Pressure Angle Formula

GoTangential Force on Gear given Torque and Pitch Circle Diameter Formula

GoTangential Force on Gear given Pressure angle and Resultant Force Formula

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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.. Check FAQs

P t = P r \cdot \cot (Φ)

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

Tangential Force on Gear given Radial Force and Pressure Angle Example

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

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

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

933.7147 = 550 \cdot \cot (30.5)

933.7147N = 550N \cdot \cot (30.5°)

933.7147 = 550 \cdot \cot (30.5)

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Tangential Force on Gear given Radial Force and Pressure Angle Solution

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

FIRST Step Consider the formula

P t = P r \cdot \cot (Φ)

Next Step Substitute values of Variables

∴

P t = 550N \cdot \cot (30.5°)

Next Step Convert Units

∴

P t = 550N \cdot \cot (0.5323rad)

Next Step Prepare to Evaluate

∴

P t = 550 \cdot \cot (0.5323)

Next Step Evaluate

∴

P t = 933.714715629564N

LAST Step Rounding Answer

∴

P t = 933.7147N

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

Variables

Functions

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

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

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

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other Formulas to find Tangential Force on Spur Gear

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 Pressure angle and Resultant Force

P t = P rs \cdot \cos (Φ)

Go Tangential Force on Gear due to Rated Torque

P t = \frac{P tmax}{K s}

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 Radial Force of Gear given Tangential Force and Pressure Angle

P r = P t \cdot \tan (Φ)

Go Resultant Force on Gear

P rs = \frac{P t}{\cos (Φ)}

Go Service Factor for Gear given Torque

K s = \frac{M Tmax}{M τ}

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

Tangential Force on Gear given Radial Force and Pressure Angle evaluator uses Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear) to evaluate the Tangential Force on Spur Gear, Tangential Force on Gear given Radial Force and Pressure Angle is defined as the force that acts on a spur gear in the direction of a tangent to the curved surface of the gear's circumference. This force tends to rotate the spur gear. Tangential Force on Spur Gear is denoted by P_t symbol.

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

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

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

The formula of Tangential Force on Gear given Radial Force and Pressure Angle is expressed as Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear). Here is an example- 933.7147 = 550*cot(0.53232542185817).

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

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

What are the other ways to Calculate Tangential Force on Spur Gear?

Here are the different ways to Calculate Tangential Force on Spur Gear-

Tangential Force on Spur Gear=2*Torque Transmitted by Spur Gear/Pitch Circle Diameter of Spur Gear
Tangential Force on Spur Gear=Resultant Force on Spur Gear*cos(Pressure Angle of Spur Gear)
Tangential Force on Spur Gear=Maximum Tangential Force on Spur Gear/Service Factor for Spur Gear

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

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

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

Tangential Force on Gear given Radial 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 Tangential Force on Gear given Radial Force and Pressure Angle can be measured.

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Tangential Force on Gear given Radial Force and Pressure Angle Formula

​GoTangential Force on Gear given Torque and Pitch Circle Diameter Formula

​GoTangential Force on Gear given Pressure angle and Resultant Force Formula

Tangential Force on Gear given Radial Force and Pressure Angle Example

Tangential Force on Gear given Radial Force and Pressure Angle Solution

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

Other Formulas to find Tangential Force on Spur Gear

Other formulas in Dynamics of Spur Gear category

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

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

Variable Name

GoTangential Force on Gear given Torque and Pitch Circle Diameter Formula

GoTangential Force on Gear given Pressure angle and Resultant Force Formula