Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter Calculator

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Design of Gears

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Design of Spur Gears

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Design of Helical Gears

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✖Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference..ⓘ Tangential Force on Spur Gear [P_t]			+10% -10%
✖Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.ⓘ Pitch Circle Diameter of Spur Gear [d]			+10% -10%

✖Torque transmitted by spur gear is described as the turning effect of force on the axis of rotation of the spur gear.ⓘ Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter [M_t]

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Formula

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Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

Formula

`"M"_{"t"} = "P"_{"t"}*"d"/2`

Example

`"56168N*mm"="952N"*"118mm"/2`

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Download Design of Spur Gears Formulas PDF

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2
M_t = P_t*d/2
This formula uses 3 Variables

Variables Used

Torque transmitted by spur gear - (Measured in Newton Meter) - Torque transmitted by spur gear is described as the turning effect of force on the axis of rotation of the spur gear.
Tangential Force on Spur Gear - (Measured in Newton) - Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference..
Pitch Circle Diameter of Spur Gear - (Measured in Meter) - Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

STEP 1: Convert Input(s) to Base Unit

Tangential Force on Spur Gear: 952 Newton --> 952 Newton No Conversion Required
Pitch Circle Diameter of Spur Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_t = P_t*d/2 --> 952*0.118/2

Evaluating ... ...

M_t = 56.168

STEP 3: Convert Result to Output's Unit

56.168 Newton Meter -->56168 Newton Millimeter (Check conversion here)

FINAL ANSWER

56168 Newton Millimeter <-- Torque transmitted by spur gear

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

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National Institute of Technology (NIT), Tiruchirapalli

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< 25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears

Go Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)

Circular Pitch of Gear given Diameter and Number of Teeth

Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Resultant Force on Gear

Go Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)

Radial Force of Gear given Tangential Force and Pressure Angle

Go Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)

Tangential Force on Gear given Radial Force and Pressure Angle

Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)

Pitch Circle Diameter of holes of Medium Size Gear

Go Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2

Diameter of Holes in Gear Web of Medium Size Diameter

Go Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4

Inner Diameter of Rim of Large Size Gear

Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

Go Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2

Addendum Circle Diameter of Medium Size Gear Diameter given Addendum

Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)

Tangential Force on Gear given Torque and Pitch Circle Diameter

Go Tangential Force on Spur Gear = 2*Torque transmitted by spur gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Medium Size Gear given Dedundum

Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Large Size Gear

Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)

Addendum Circle Diameter of Large Size Gear

Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)

Pitch Circle Diameter of Gear given Module and Number of Teeth

Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear

Module of Gear given Pitch Circle Diameter

Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Maximum Torque of Gear given Service Factor

Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear

Service Factor for Gear given Torque

Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear

Gear Ratio given Number of Teeth

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

Gear Ratio given Speed

Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear

Diametral Pitch of Gear given Circular Pitch

Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Outer Diameter of Hub of Large Size Gear

Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft

Thickness of Rim of Large Size Gear

Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter Formula

Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2
M_t = P_t*d/2

What is a gear?

Gears are defined as toothed wheels or multilobed-cams, which transmit power and motion from one shaft to another by means of successive engagement of teeth.

How to Calculate Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter?

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter calculator uses Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2 to calculate the Torque transmitted by spur gear, Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter is defined as half the value of the product of diameter of the pitch circle and tangential force. Torque transmitted by spur gear is denoted by M_t symbol.

How to calculate Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter using this online calculator? To use this online calculator for Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter, enter Tangential Force on Spur Gear (P_t) & Pitch Circle Diameter of Spur Gear (d) and hit the calculate button. Here is how the Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter calculation can be explained with given input values -> 5.6E+7 = 952*0.118/2.

FAQ

What is Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter?

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter is defined as half the value of the product of diameter of the pitch circle and tangential force and is represented as M_t = P_t*d/2 or Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2. Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference & Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

How to calculate Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter?

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter is defined as half the value of the product of diameter of the pitch circle and tangential force is calculated using Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2. To calculate Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter, you need Tangential Force on Spur Gear (P_t) & Pitch Circle Diameter of Spur Gear (d). With our tool, you need to enter the respective value for Tangential Force on Spur Gear & Pitch Circle Diameter of Spur 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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