FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Tangential Force on Gear Shaft Formula

Fx Copy

LaTeX Copy

The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body. Check FAQs

P t = F \cdot \cos (Φ gear)

P_t - Tangential Force?F - Maximum Tooth Pressure?Φ_gear - Pressure Angle of Gear?

Tangential Force on Gear Shaft Example

With values

With units

Only example

Here is how the Tangential Force on Gear Shaft equation looks like with Values.

Here is how the Tangential Force on Gear Shaft equation looks like with Units.

Here is how the Tangential Force on Gear Shaft equation looks like.

11.8727 = 14 \cdot \cos (32)

11.8727N = 14N \cdot \cos (32°)

11.8727 = 14 \cdot \cos (32)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Machine » fx Tangential Force on Gear Shaft

Tangential Force on Gear Shaft Solution

Follow our step by step solution on how to calculate Tangential Force on Gear Shaft?

FIRST Step Consider the formula

P t = F \cdot \cos (Φ gear)

Next Step Substitute values of Variables

∴

P t = 14N \cdot \cos (32°)

Next Step Convert Units

∴

P t = 14N \cdot \cos (0.5585rad)

Next Step Prepare to Evaluate

∴

P t = 14 \cdot \cos (0.5585)

Next Step Evaluate

∴

P t = 11.8726733461907N

LAST Step Rounding Answer

∴

P t = 11.8727N

Tangential Force on Gear Shaft Formula Elements

Variables

Functions

Tangential Force

The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force

Maximum Tooth Pressure

Maximum tooth pressure (neglecting friction at the teeth) is exerted along the common normal through the pitch point.

Symbol: F

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Maximum Tooth Pressure

Pressure Angle of Gear

The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

Symbol: Φ_gear

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Pressure Angle of Gear

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Toothed Gear Terminologies category

Go Torque Exerted on Gear Shaft

τ = P t \cdot \frac{d pitch circle}{2}

Go Work Output on Driven

w = R \cdot \cos (α 2 + Φ) \cdot π \cdot d 2 \cdot N 2

Go Work Output on Driver

w = R \cdot \cos (α 1 - Φ) \cdot π \cdot d 1 \cdot N 1

Go Addendum of Pinion

A p = \frac{Z p}{2} \cdot (\sqrt{1 + \frac{T}{Z p} \cdot (\frac{T}{Z p} + 2) \cdot {(\sin (Φ gear))}^{2}} - 1)

How to Evaluate Tangential Force on Gear Shaft?

Tangential Force on Gear Shaft evaluator uses Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear) to evaluate the Tangential Force, Tangential Force on Gear Shaft formula is defined as the measure of the force exerted tangentially on the gear shaft, which is a critical parameter in determining the efficiency and performance of gear systems, particularly in mechanical power transmission and rotation applications. Tangential Force is denoted by P_t symbol.

How to evaluate Tangential Force on Gear Shaft using this online evaluator? To use this online evaluator for Tangential Force on Gear Shaft, enter Maximum Tooth Pressure (F) & Pressure Angle of Gear (Φ_gear) and hit the calculate button.

FAQs on Tangential Force on Gear Shaft

What is the formula to find Tangential Force on Gear Shaft?

The formula of Tangential Force on Gear Shaft is expressed as Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear). Here is an example- 11.87267 = 14*cos(0.55850536063808).

How to calculate Tangential Force on Gear Shaft?

With Maximum Tooth Pressure (F) & Pressure Angle of Gear (Φ_gear) we can find Tangential Force on Gear Shaft using the formula - Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear). This formula also uses Cosine (cos) function(s).

Can the Tangential Force on Gear Shaft be negative?

No, the Tangential Force on Gear Shaft, measured in Force cannot be negative.

Which unit is used to measure Tangential Force on Gear Shaft?

Tangential Force on Gear Shaft 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 Shaft can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit