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Resultant Force on Gear Formula

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Resultant Force on Spur Gear is the net force acting onto a spur gear. Check FAQs

P rs = \frac{P t}{\cos (Φ)}

P_rs - Resultant Force on Spur Gear?P_t - Tangential Force on Spur Gear?Φ - Pressure Angle of Spur Gear?

Resultant Force on Gear Example

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

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

Here is how the Resultant Force on Gear equation looks like.

1104.8837 = \frac{952}{\cos (30.5)}

1104.8837N = \frac{952N}{\cos (30.5°)}

1104.8837 = \frac{952}{\cos (30.5)}

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Resultant Force on Gear Solution

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

FIRST Step Consider the formula

P rs = \frac{P t}{\cos (Φ)}

Next Step Substitute values of Variables

∴

P rs = \frac{952N}{\cos (30.5°)}

Next Step Convert Units

∴

P rs = \frac{952N}{\cos (0.5323rad)}

Next Step Prepare to Evaluate

∴

P rs = \frac{952}{\cos (0.5323)}

Next Step Evaluate

∴

P rs = 1104.88368280399N

LAST Step Rounding Answer

∴

P rs = 1104.8837N

Resultant Force on Gear Formula Elements

Variables

Functions

Resultant Force on Spur Gear

Resultant Force on Spur Gear is the net force acting onto a spur gear.

Symbol: P_rs

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Resultant 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

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 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 Radial Force of Gear given Tangential Force and Pressure Angle

P r = P t \cdot \tan (Φ)

Go Tangential Force on Gear given Radial Force and Pressure Angle

P t = P r \cdot \cot (Φ)

How to Evaluate Resultant Force on Gear?

Resultant Force on Gear evaluator uses Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear) to evaluate the Resultant Force on Spur Gear, Resultant force on gear formula is defined as the net force acting onto a gear. It is a summation of the thrust load, axial load, and radial load onto the gear. Resultant force on gear depends on tangential force and pressure angle. Resultant Force on Spur Gear is denoted by P_rs symbol.

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

FAQs on Resultant Force on Gear

What is the formula to find Resultant Force on Gear?

The formula of Resultant Force on Gear is expressed as Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear). Here is an example- 1104.884 = 952/cos(0.53232542185817).

How to calculate Resultant Force on Gear?

With Tangential Force on Spur Gear (P_t) & Pressure Angle of Spur Gear (Φ) we can find Resultant Force on Gear using the formula - Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear). This formula also uses Cosine (cos) function(s).

Can the Resultant Force on Gear be negative?

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

Which unit is used to measure Resultant Force on Gear?

Resultant Force on Gear is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Resultant Force on Gear can be measured.

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Resultant Force on Gear Formula

Resultant Force on Gear Example

Resultant Force on Gear Solution

Resultant Force on Gear Formula Elements

Other formulas in Dynamics of Spur Gear category

How to Evaluate Resultant Force on Gear?

FAQs on Resultant Force on Gear

Variable Name