Axial Thrust on Driver Calculator

✖Force applied tangentially on driver is any interaction that, when unopposed, will change the motion of an object.ⓘ Force Applied Tangentially on Driver [F₁]			+10% -10%
✖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.ⓘ Spiral Angle of Gear Teeth for Gear 1 [α₁]			+10% -10%

✖Axial thrust on driver refers to a propelling force applied along the axis (also called axial direction) of an object in order to push the object against a platform in a particular direction.ⓘ Axial Thrust on Driver [F_a1]

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Formula

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Axial Thrust on Driver

Formula

`"F"_{"a1"} = "F"_{"1"}*tan("α"_{"1"})`

Example

`"9N"="9N"*tan("45°")`

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Axial Thrust on Driver Solution

STEP 0: Pre-Calculation Summary

Formula Used

Axial Thrust on Driver = Force Applied Tangentially on Driver*tan(Spiral Angle of Gear Teeth for Gear 1)
F_a1 = F₁*tan(α₁)
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Axial Thrust on Driver - (Measured in Newton) - Axial thrust on driver refers to a propelling force applied along the axis (also called axial direction) of an object in order to push the object against a platform in a particular direction.
Force Applied Tangentially on Driver - (Measured in Newton) - Force applied tangentially on driver is any interaction that, when unopposed, will change the motion of an object.
Spiral Angle of Gear Teeth for Gear 1 - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Force Applied Tangentially on Driver: 9 Newton --> 9 Newton No Conversion Required
Spiral Angle of Gear Teeth for Gear 1: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_a1 = F₁*tan(α₁) --> 9*tan(0.785398163397301)

Evaluating ... ...

F_a1 = 8.99999999999735

STEP 3: Convert Result to Output's Unit

8.99999999999735 Newton --> No Conversion Required

FINAL ANSWER

8.99999999999735 ≈ 9 Newton <-- Axial Thrust on Driver

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 22 Toothed Gear Terminologies Calculators

Efficiency of Spiral Gears using Pitch Circle Diameter

Go Efficiency = (cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*Pitch Circle Diameter of Gear 2*Speed of Gear 2)/(cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*Pitch Circle Diameter of Gear 1*Speed of Gear 1)

Efficiency of Spiral Gears

Go Efficiency = (cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*cos(Spiral Angle of Gear Teeth for Gear 1))/(cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*cos(Spiral Angle of Gear Teeth for Gear 2))

Addendum of Pinion

Go Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1)

Addendum of Wheel

Go Addendum of Wheel = Number of Teeth on Wheel/2*(sqrt(1+Number of Teeth on Pinion/Number of Teeth on Wheel*(Number of Teeth on Pinion/Number of Teeth on Wheel+2)*(sin(Pressure Angle of Gear))^2)-1)

Work Output on Driven

Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*pi*Pitch Circle Diameter of Gear 2*Speed of Gear 2

Work Output on Driver

Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1

Maximum Efficiency of Spiral Gears

Go Efficiency = (cos(Shaft Angle+Angle of Friction)+1)/(cos(Shaft Angle-Angle of Friction)+1)

Resisting Force Acting Tangentially on Driven

Go Resisting Force acting Tangentially on Driven = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)

Force Applied Tangentially on Driver

Go Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)

Axial Thrust on Driven

Go Axial Thrust on Driven = Resisting Force acting Tangentially on Driven*tan(Spiral Angle of Gear Teeth for Gear 2)

Axial Thrust on Driver

Go Axial Thrust on Driver = Force Applied Tangentially on Driver*tan(Spiral Angle of Gear Teeth for Gear 1)

Radius of Base Circle of Pinion

Go Radius of Base Circle of Pinion = Radius of Pitch Circle of Pinion*cos(Pressure Angle of Gear)

Radius of Base Circle of Wheel

Go Radius of Base Circle of Wheel = Radius of Pitch Circle of Wheel*cos(Pressure Angle of Gear)

Addendum of Rack

Go Addendum of Rack = (Number of Teeth on Pinion*(sin(Pressure Angle of Gear))^2)/2

Tangential Force on Gear Shaft

Go Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear)

Normal Force on Gear Shaft

Go Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear)

Shaft Angle

Go Shaft Angle = Spiral Angle of Gear Teeth for Gear 1+Spiral Angle of Gear Teeth for Gear 2

Gear Ratio

Go Gear Ratio = Radius of Pitch Circle of Wheel/Radius of Pitch Circle of Pinion

Torque Exerted on Gear Shaft

Go Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2

Gear Ratio given Number of Teeth on Wheel and Pinion

Go Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion

Module

Go Module = Diameter of Pitch Circle/Number of Teeth on Wheel

Contact Ratio

Go Contact Ratio = Path of Contact/Circular Pitch

Axial Thrust on Driver Formula

Axial Thrust on Driver = Force Applied Tangentially on Driver*tan(Spiral Angle of Gear Teeth for Gear 1)
F_a1 = F₁*tan(α₁)

What is axial thrust in gears?

The force that acts in the Z-axis direction is defined as the axial force Fx (N) or thrust . Analyzing these forces is very important when designing gears. In designing a gear, it is important to analyze these forces acting upon the gear teeth, shafts, bearings, etc.

How to Calculate Axial Thrust on Driver?

Axial Thrust on Driver calculator uses Axial Thrust on Driver = Force Applied Tangentially on Driver*tan(Spiral Angle of Gear Teeth for Gear 1) to calculate the Axial Thrust on Driver, Axial thrust on driver refers to a propelling force applied along the axis (also called axial direction) of an object in order to push the object against a platform in a particular direction. Axial Thrust on Driver is denoted by F_a1 symbol.

How to calculate Axial Thrust on Driver using this online calculator? To use this online calculator for Axial Thrust on Driver, enter Force Applied Tangentially on Driver (F₁) & Spiral Angle of Gear Teeth for Gear 1 (α₁) and hit the calculate button. Here is how the Axial Thrust on Driver calculation can be explained with given input values -> 9 = 9*tan(0.785398163397301).

FAQ

What is Axial Thrust on Driver?

Axial thrust on driver refers to a propelling force applied along the axis (also called axial direction) of an object in order to push the object against a platform in a particular direction and is represented as F_a1 = F₁*tan(α₁) or Axial Thrust on Driver = Force Applied Tangentially on Driver*tan(Spiral Angle of Gear Teeth for Gear 1). Force applied tangentially on driver is any interaction that, when unopposed, will change the motion of an object & 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.

How to calculate Axial Thrust on Driver?

Axial thrust on driver refers to a propelling force applied along the axis (also called axial direction) of an object in order to push the object against a platform in a particular direction is calculated using Axial Thrust on Driver = Force Applied Tangentially on Driver*tan(Spiral Angle of Gear Teeth for Gear 1). To calculate Axial Thrust on Driver, you need Force Applied Tangentially on Driver (F₁) & Spiral Angle of Gear Teeth for Gear 1 (α₁). With our tool, you need to enter the respective value for Force Applied Tangentially on Driver & Spiral Angle of Gear Teeth for Gear 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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