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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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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< Toothed Gear Terminologies Calculators

Addendum of Pinion

LaTeX 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)

Work Output on Driven

LaTeX 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

LaTeX 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

Torque Exerted on Gear Shaft

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

Torque Exerted on Gear Shaft Formula

LaTeX Go

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 formula is defined as the rotational force that causes the gear shaft to rotate, measured by the product of the tangential force and the distance from the axis of rotation to the point of application of the force, playing a crucial role in gear train systems and mechanical power transmission. 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 formula is defined as the rotational force that causes the gear shaft to rotate, measured by the product of the tangential force and the distance from the axis of rotation to the point of application of the force, playing a crucial role in gear train systems and mechanical power transmission 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 formula is defined as the rotational force that causes the gear shaft to rotate, measured by the product of the tangential force and the distance from the axis of rotation to the point of application of the force, playing a crucial role in gear train systems and mechanical power transmission 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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