Torque Exerted on Gear Shaft Calculator

✖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 [P_t]			+10% -10%
✖The Diameter of Pitch Circle of gear is an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.ⓘ Diameter of Pitch Circle [d_{pitch circle}]			+10% -10%

✖Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.ⓘ Torque Exerted on Gear Shaft [τ]

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Formula

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Torque Exerted on Gear Shaft

Formula

`"τ" = "P"_{"t"}*"d"_{"pitch circle"}/2`

Example

`"1.375N*m"="25N"*"110mm"/2`

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Torque Exerted on Gear Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2
τ = P_t*d_{pitch circle}/2
This formula uses 3 Variables

Variables Used

Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
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.
Diameter of Pitch Circle - (Measured in Meter) - The Diameter of Pitch Circle of gear is an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.

STEP 1: Convert Input(s) to Base Unit

Tangential Force: 25 Newton --> 25 Newton No Conversion Required
Diameter of Pitch Circle: 110 Millimeter --> 0.11 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = P_t*d_{pitch circle}/2 --> 25*0.11/2

Evaluating ... ...

τ = 1.375

STEP 3: Convert Result to Output's Unit

1.375 Newton Meter --> No Conversion Required

FINAL ANSWER

1.375 Newton Meter <-- Torque Exerted on Wheel

(Calculation completed in 00.020 seconds)

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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

Torque Exerted on Gear Shaft Formula

Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2
τ = P_t*d_{pitch circle}/2

What gear gives the most torque?

The point to change up a gear for maximum acceleration is the point when you'll get better acceleration in the higher gear. In other words, the point when you'll generate more torque at the wheels in the higher gear.

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 Torque Exerted on Gear Shaft?

Torque Exerted on Gear Shaft calculator uses Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2 to calculate the Torque Exerted on Wheel, Torque Exerted on Gear Shaft depends on the motor and will increase based on the gear ratio. Torque Exerted on Wheel is denoted by τ symbol.

How to calculate Torque Exerted on Gear Shaft using this online calculator? To use this online calculator for Torque Exerted on Gear Shaft, enter Tangential Force (P_t) & Diameter of Pitch Circle (d_{pitch circle}) and hit the calculate button. Here is how the Torque Exerted on Gear Shaft calculation can be explained with given input values -> 1.375 = 25*0.11/2.

FAQ

What is Torque Exerted on Gear Shaft?

Torque Exerted on Gear Shaft depends on the motor and will increase based on the gear ratio and is represented as τ = P_t*d_{pitch circle}/2 or Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2. 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 & The Diameter of Pitch Circle of gear is an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.

How to calculate Torque Exerted on Gear Shaft?

Torque Exerted on Gear Shaft depends on the motor and will increase based on the gear ratio is calculated using Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2. To calculate Torque Exerted on Gear Shaft, you need Tangential Force (P_t) & Diameter of Pitch Circle (d_{pitch circle}). With our tool, you need to enter the respective value for Tangential Force & Diameter of Pitch Circle 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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