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Normal Force on Gear Shaft Formula

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Normal Force is the force which is normal to the shear force. Check FAQs

Fn = F \cdot \sin (Φ gear)

Fn - Normal Force?F - Maximum Tooth Pressure?Φ_gear - Pressure Angle of Gear?

Normal Force on Gear Shaft Example

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

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

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

7.4189 = 14 \cdot \sin (32)

7.4189N = 14N \cdot \sin (32°)

7.4189 = 14 \cdot \sin (32)

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Normal Force on Gear Shaft Solution

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

FIRST Step Consider the formula

Fn = F \cdot \sin (Φ gear)

Next Step Substitute values of Variables

∴

Fn = 14N \cdot \sin (32°)

Next Step Convert Units

∴

Fn = 14N \cdot \sin (0.5585rad)

Next Step Prepare to Evaluate

∴

Fn = 14 \cdot \sin (0.5585)

Next Step Evaluate

∴

Fn = 7.41886969926362N

LAST Step Rounding Answer

∴

Fn = 7.4189N

Normal Force on Gear Shaft Formula Elements

Variables

Functions

Normal Force

Normal Force is the force which is normal to the shear force.

Symbol: Fn

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Normal 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(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 Normal Force on Gear Shaft?

Normal Force on Gear Shaft evaluator uses Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear) to evaluate the Normal Force, Normal Force on Gear Shaft formula is defined as the measure of the force exerted on the gear shaft due to the weight of the gear and the external forces acting on it, which is essential in determining the stability and efficiency of the gear system in various mechanical applications. Normal Force is denoted by Fn symbol.

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

FAQs on Normal Force on Gear Shaft

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

The formula of Normal Force on Gear Shaft is expressed as Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear). Here is an example- 7.41887 = 14*sin(0.55850536063808).

How to calculate Normal Force on Gear Shaft?

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

Can the Normal Force on Gear Shaft be negative?

Yes, the Normal Force on Gear Shaft, measured in Force can be negative.

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

Normal 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 Normal Force on Gear Shaft can be measured.

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