Resultant Force on Gear Calculator

✖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%
✖Pressure Angle of Spur Gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.ⓘ Pressure Angle of Spur Gear [Φ]			+10% -10%

✖Resultant Force on Spur Gear is the net force acting onto a spur gear.ⓘ Resultant Force on Gear [P_rs]

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Resultant Force on Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)
P_rs = P_t/cos(Φ)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Resultant Force on Spur Gear - (Measured in Newton) - Resultant Force on Spur Gear is the net force acting onto a 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..
Pressure Angle of Spur Gear - (Measured in Radian) - Pressure Angle of Spur Gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

STEP 1: Convert Input(s) to Base Unit

Tangential Force on Spur Gear: 952 Newton --> 952 Newton No Conversion Required
Pressure Angle of Spur Gear: 30.5 Degree --> 0.53232542185817 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_rs = P_t/cos(Φ) --> 952/cos(0.53232542185817)

Evaluating ... ...

P_rs = 1104.88368280399

STEP 3: Convert Result to Output's Unit

1104.88368280399 Newton --> No Conversion Required

FINAL ANSWER

1104.88368280399 ≈ 1104.884 Newton <-- Resultant Force on Spur Gear

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Dynamics of Spur Gear Calculators

Radial Force of Gear given Tangential Force and Pressure Angle

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go Tangential Force on Spur Gear = 2*Torque Transmitted by Spur Gear/Pitch Circle Diameter of Spur Gear

Resultant Force on Gear Formula

LaTeX Go

Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)
P_rs = P_t/cos(Φ)

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 Resultant Force on Gear?

Resultant Force on Gear calculator uses Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear) to calculate the Resultant Force on Spur Gear, Resultant force on gear formula is defined as the net force acting onto a gear. It is a summation of the thrust load, axial load, and radial load onto the gear. Resultant force on gear depends on tangential force and pressure angle. Resultant Force on Spur Gear is denoted by P_rs symbol.

How to calculate Resultant Force on Gear using this online calculator? To use this online calculator for Resultant Force on Gear, enter Tangential Force on Spur Gear (P_t) & Pressure Angle of Spur Gear (Φ) and hit the calculate button. Here is how the Resultant Force on Gear calculation can be explained with given input values -> 1104.884 = 952/cos(0.53232542185817).

FAQ

What is Resultant Force on Gear?

Resultant force on gear formula is defined as the net force acting onto a gear. It is a summation of the thrust load, axial load, and radial load onto the gear. Resultant force on gear depends on tangential force and pressure angle and is represented as P_rs = P_t/cos(Φ) or Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of 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 & Pressure Angle of Spur Gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

How to calculate Resultant Force on Gear?

Resultant force on gear formula is defined as the net force acting onto a gear. It is a summation of the thrust load, axial load, and radial load onto the gear. Resultant force on gear depends on tangential force and pressure angle is calculated using Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear). To calculate Resultant Force on Gear, you need Tangential Force on Spur Gear (P_t) & Pressure Angle of Spur Gear (Φ). With our tool, you need to enter the respective value for Tangential Force on Spur Gear & Pressure Angle 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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