Tangential Force on Gear Shaft Calculator

✖Maximum tooth pressure (neglecting friction at the teeth) is exerted along the common normal through the pitch point.ⓘ Maximum Tooth Pressure [F]			+10% -10%
✖The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.ⓘ Pressure Angle of Gear [Φ_gear]			+10% -10%

✖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.ⓘ Tangential Force on Gear Shaft [P_t]

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Formula

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Tangential Force on Gear Shaft

Formula

`"P"_{"t"} = "F"*cos("Φ"_{"gear"})`

Example

`"11.87267N"="14N"*cos("32°")`

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Tangential Force on Gear Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear)
P_t = F*cos(Φ_gear)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Tangential Force - (Measured in Newton) - 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.
Maximum Tooth Pressure - (Measured in Newton) - Maximum tooth pressure (neglecting friction at the teeth) is exerted along the common normal through the pitch point.
Pressure Angle of Gear - (Measured in Radian) - The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

STEP 1: Convert Input(s) to Base Unit

Maximum Tooth Pressure: 14 Newton --> 14 Newton No Conversion Required
Pressure Angle of Gear: 32 Degree --> 0.55850536063808 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_t = F*cos(Φ_gear) --> 14*cos(0.55850536063808)

Evaluating ... ...

P_t = 11.8726733461907

STEP 3: Convert Result to Output's Unit

11.8726733461907 Newton --> No Conversion Required

FINAL ANSWER

11.8726733461907 ≈ 11.87267 Newton <-- Tangential Force

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Toothed Gearing » Toothed Gear Terminologies » Tangential Force on Gear Shaft

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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

Tangential Force on Gear Shaft Formula

Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear)
P_t = F*cos(Φ_gear)

what is tangential force on gear shaft?

The gear force can be resolved into two components – the tangential component which is used to transmit the power, and the radial component, which will cause bending of the gear shaft.

How do gears use forces?

Gears are wheels with teeth that slot together. When one gear is turned the other one turns as well. If the gears are of different sizes, they can be used to increase the power of a turning force. The smaller wheel turns more quickly but with less force, while the bigger one turns more slowly with more force.

How to Calculate Tangential Force on Gear Shaft?

Tangential Force on Gear Shaft calculator uses Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear) to calculate the Tangential Force, Tangential Force on Gear Shaft is the component that is used to transmit the power. The gear force can be resolved into two components – the tangential component which is used to transmit the power, and the radial component, which will cause bending of the gear shaft. Tangential Force is denoted by P_t symbol.

How to calculate Tangential Force on Gear Shaft using this online calculator? To use this online calculator for Tangential Force on Gear Shaft, enter Maximum Tooth Pressure (F) & Pressure Angle of Gear (Φ_gear) and hit the calculate button. Here is how the Tangential Force on Gear Shaft calculation can be explained with given input values -> 11.87267 = 14*cos(0.55850536063808).

FAQ

What is Tangential Force on Gear Shaft?

Tangential Force on Gear Shaft is the component that is used to transmit the power. The gear force can be resolved into two components – the tangential component which is used to transmit the power, and the radial component, which will cause bending of the gear shaft and is represented as P_t = F*cos(Φ_gear) or Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear). Maximum tooth pressure (neglecting friction at the teeth) is exerted along the common normal through the pitch point & The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

How to calculate Tangential Force on Gear Shaft?

Tangential Force on Gear Shaft is the component that is used to transmit the power. The gear force can be resolved into two components – the tangential component which is used to transmit the power, and the radial component, which will cause bending of the gear shaft is calculated using Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear). To calculate Tangential Force on Gear Shaft, you need Maximum Tooth Pressure (F) & Pressure Angle of Gear (Φ_gear). With our tool, you need to enter the respective value for Maximum Tooth Pressure & Pressure Angle of Gear 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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