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

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Torque transmitted by spur gear is described as the turning effect of force on the axis of rotation of the spur gear. Check FAQs
Mt=Ptd2
Mt - Torque Transmitted by Spur Gear?Pt - Tangential Force on Spur Gear?d - Pitch Circle Diameter of Spur Gear?

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

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Here is how the Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter equation looks like with Values.

Here is how the Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter equation looks like with Units.

Here is how the Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter equation looks like.

56168Edit=952Edit118Edit2
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Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter Solution

Follow our step by step solution on how to calculate Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter?

FIRST Step Consider the formula
Mt=Ptd2
Next Step Substitute values of Variables
Mt=952N118mm2
Next Step Convert Units
Mt=952N0.118m2
Next Step Prepare to Evaluate
Mt=9520.1182
Next Step Evaluate
Mt=56.168N*m
LAST Step Convert to Output's Unit
Mt=56168N*mm

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

Variables
Torque Transmitted by Spur Gear
Torque transmitted by spur gear is described as the turning effect of force on the axis of rotation of the spur gear.
Symbol: Mt
Measurement: TorqueUnit: N*mm
Note: Value should be greater than 0.
Tangential Force on Spur Gear
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..
Symbol: Pt
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Pitch Circle Diameter of Spur Gear
Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
Symbol: d
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Dynamics of Spur Gear category

​Go Tangential Force on Gear given Torque and Pitch Circle Diameter
Pt=2Mtd
​Go Radial Force of Gear given Tangential Force and Pressure Angle
Pr=Pttan(Φ)
​Go Tangential Force on Gear given Radial Force and Pressure Angle
Pt=Prcot(Φ)
​Go Resultant Force on Gear
Prs=Ptcos(Φ)

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

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter evaluator uses Torque Transmitted by Spur Gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2 to evaluate 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 Mt symbol.

How to evaluate Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter using this online evaluator? To use this online evaluator for Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter, enter Tangential Force on Spur Gear (Pt) & Pitch Circle Diameter of Spur Gear (d) and hit the calculate button.

FAQs on Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

What is the formula to find Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter?
The formula of Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter is expressed as Torque Transmitted by Spur Gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2. Here is an example- 5.6E+7 = 952*0.118/2.
How to calculate Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter?
With Tangential Force on Spur Gear (Pt) & Pitch Circle Diameter of Spur Gear (d) we can find Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter using the formula - Torque Transmitted by Spur Gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2.
Can the Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter be negative?
No, the Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter, measured in Torque cannot be negative.
Which unit is used to measure Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter?
Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter can be measured.
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