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Force Applied Tangentially on Driver Formula

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Force applied tangentially on driver is any interaction that, when unopposed, will change the motion of an object. Check FAQs

F 1 = R \cdot \cos (α 1 - Φ)

F₁ - Force Applied Tangentially on Driver?R - Resultant Reaction at Point of Contact?α₁ - Spiral Angle of Gear Teeth for Gear 1?Φ - Angle of Friction?

Force Applied Tangentially on Driver Example

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Here is how the Force Applied Tangentially on Driver equation looks like with Values.

Here is how the Force Applied Tangentially on Driver equation looks like with Units.

Here is how the Force Applied Tangentially on Driver equation looks like.

25.2067 = 27 \cdot \cos (45 - 24)

25.2067N = 27N \cdot \cos (45° - 24°)

25.2067 = 27 \cdot \cos (45 - 24)

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Force Applied Tangentially on Driver Solution

Follow our step by step solution on how to calculate Force Applied Tangentially on Driver?

FIRST Step Consider the formula

F 1 = R \cdot \cos (α 1 - Φ)

Next Step Substitute values of Variables

∴

F 1 = 27N \cdot \cos (45° - 24°)

Next Step Convert Units

∴

F 1 = 27N \cdot \cos (0.7854rad - 0.4189rad)

Next Step Prepare to Evaluate

∴

F 1 = 27 \cdot \cos (0.7854 - 0.4189)

Next Step Evaluate

∴

F 1 = 25.2066715154251N

LAST Step Rounding Answer

∴

F 1 = 25.2067N

Force Applied Tangentially on Driver Formula Elements

Variables

Functions

Force Applied Tangentially on Driver

Force applied tangentially on driver is any interaction that, when unopposed, will change the motion of an object.

Symbol: F₁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Applied Tangentially on Driver

Resultant Reaction at Point of Contact

Resultant reaction at point of contact is the force (magnitude and direction) obtained when two or more forces are combined.

Symbol: R

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Resultant Reaction at Point of Contact

Spiral Angle of Gear Teeth for Gear 1

The spiral angle of gear teeth for gear 1 is the angle between the tooth trace and an element of the pitch cone and corresponds to the helix angle in helical teeth.

Symbol: α₁

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Spiral Angle of Gear Teeth for Gear 1

Angle of Friction

The angle of friction is the angle of a plane to the horizontal when a body placed on the plane will just start to slide.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Friction

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 Force Applied Tangentially on Driver?

Force Applied Tangentially on Driver evaluator uses Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction) to evaluate the Force Applied Tangentially on Driver, Force Applied Tangentially on Driver formula is defined as the measure of the force exerted tangentially on the driver in a toothed gear system, which is influenced by the radius of the driver and the angle of rotation, playing a crucial role in determining the efficiency of the gear mechanism. Force Applied Tangentially on Driver is denoted by F₁ symbol.

How to evaluate Force Applied Tangentially on Driver using this online evaluator? To use this online evaluator for Force Applied Tangentially on Driver, enter Resultant Reaction at Point of Contact (R), Spiral Angle of Gear Teeth for Gear 1 (α₁) & Angle of Friction (Φ) and hit the calculate button.

FAQs on Force Applied Tangentially on Driver

What is the formula to find Force Applied Tangentially on Driver?

The formula of Force Applied Tangentially on Driver is expressed as Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction). Here is an example- 25.20667 = 27*cos(0.785398163397301-0.41887902047856).

How to calculate Force Applied Tangentially on Driver?

With Resultant Reaction at Point of Contact (R), Spiral Angle of Gear Teeth for Gear 1 (α₁) & Angle of Friction (Φ) we can find Force Applied Tangentially on Driver using the formula - Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction). This formula also uses Cosine (cos) function(s).

Can the Force Applied Tangentially on Driver be negative?

Yes, the Force Applied Tangentially on Driver, measured in Force can be negative.

Which unit is used to measure Force Applied Tangentially on Driver?

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

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Force Applied Tangentially on Driver Formula

Force Applied Tangentially on Driver Example

Force Applied Tangentially on Driver Solution

Force Applied Tangentially on Driver Formula Elements

Other formulas in Toothed Gear Terminologies category

How to Evaluate Force Applied Tangentially on Driver?

FAQs on Force Applied Tangentially on Driver

Variable Name