Tangential Force on Gear given Torque and Pitch Circle Diameter Calculator

✖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 Spur Gear [M_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%

✖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 Gear given Torque and Pitch Circle Diameter [P_t]

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Formula

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Tangential Force on Gear given Torque and Pitch Circle Diameter

Formula

P t = 2 \cdot \frac{M t}{d}

Example

952.5424 N = 2 \cdot \frac{56200 N*mm}{118 mm}

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Tangential Force on Gear given Torque and Pitch Circle Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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..
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.
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

Torque Transmitted by Spur Gear: 56200 Newton Millimeter --> 56.2 Newton Meter (Check conversion here)
Pitch Circle Diameter of Spur Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_t = 2*M_t/d --> 2*56.2/0.118

Evaluating ... ...

P_t = 952.542372881356

STEP 3: Convert Result to Output's Unit

952.542372881356 Newton --> No Conversion Required

FINAL ANSWER

952.542372881356 ≈ 952.5424 Newton <-- Tangential Force on Spur Gear

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Mechanical » Dynamics of Spur Gear » Tangential Force on Gear given Torque and Pitch Circle Diameter

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< Dynamics of Spur Gear Calculators

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)

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

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

Tangential Force on Gear given Torque and Pitch Circle Diameter Formula

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

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 Tangential Force on Gear given Torque and Pitch Circle Diameter?

Tangential Force on Gear given Torque and Pitch Circle Diameter calculator uses Tangential Force on Spur Gear = 2*Torque Transmitted by Spur Gear/Pitch Circle Diameter of Spur Gear to calculate the Tangential Force on Spur Gear, Tangential Force on Gear given Torque and Pitch Circle Diameter is defined as the force that acts on a spur gear in the direction of a tangent to the curved surface of the gear's circumference. This force tends to rotate the spur gear. Tangential Force on Spur Gear is denoted by P_t symbol.

How to calculate Tangential Force on Gear given Torque and Pitch Circle Diameter using this online calculator? To use this online calculator for Tangential Force on Gear given Torque and Pitch Circle Diameter, enter Torque Transmitted by Spur Gear (M_t) & Pitch Circle Diameter of Spur Gear (d) and hit the calculate button. Here is how the Tangential Force on Gear given Torque and Pitch Circle Diameter calculation can be explained with given input values -> 952.5424 = 2*56.2/0.118.

FAQ

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

Tangential Force on Gear given Torque and Pitch Circle Diameter is defined as the force that acts on a spur gear in the direction of a tangent to the curved surface of the gear's circumference. This force tends to rotate the spur gear and is represented as P_t = 2*M_t/d or Tangential Force on Spur Gear = 2*Torque Transmitted by Spur Gear/Pitch Circle Diameter of Spur Gear. Torque transmitted by spur gear is described as the turning effect of force on the axis of rotation of the 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.

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

Tangential Force on Gear given Torque and Pitch Circle Diameter is defined as the force that acts on a spur gear in the direction of a tangent to the curved surface of the gear's circumference. This force tends to rotate the spur gear is calculated using Tangential Force on Spur Gear = 2*Torque Transmitted by Spur Gear/Pitch Circle Diameter of Spur Gear. To calculate Tangential Force on Gear given Torque and Pitch Circle Diameter, you need Torque Transmitted by Spur Gear (M_t) & Pitch Circle Diameter of Spur Gear (d). With our tool, you need to enter the respective value for Torque Transmitted by 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.

How many ways are there to calculate Tangential Force on Spur Gear?

In this formula, Tangential Force on Spur Gear uses Torque Transmitted by Spur Gear & Pitch Circle Diameter of Spur Gear. We can use 3 other way(s) to calculate the same, which is/are as follows -

Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)
Tangential Force on Spur Gear = Resultant Force on Spur Gear*cos(Pressure Angle of Spur Gear)
Tangential Force on Spur Gear = Maximum Tangential Force on Spur Gear/Service Factor for Spur Gear

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