Tangential Force on Gear given Pressure angle and Resultant Force Calculator

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

✖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 Pressure angle and Resultant Force [P_t]

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Tangential Force on Gear given Pressure angle and Resultant Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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..
Resultant Force on Spur Gear - (Measured in Newton) - Resultant Force on Spur Gear is the net force acting onto a spur gear.
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

Resultant Force on Spur Gear: 1100 Newton --> 1100 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_t = P_rs*cos(Φ) --> 1100*cos(0.53232542185817)

Evaluating ... ...

P_t = 947.792076485734

STEP 3: Convert Result to Output's Unit

947.792076485734 Newton --> No Conversion Required

FINAL ANSWER

947.792076485734 ≈ 947.7921 Newton <-- Tangential Force on Spur Gear

(Calculation completed in 00.020 seconds)

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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

Tangential Force on Gear given Pressure angle and Resultant Force Formula

LaTeX Go

Tangential Force on Spur Gear = Resultant Force on Spur Gear*cos(Pressure Angle of Spur Gear)
P_t = P_rs*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 Tangential Force on Gear given Pressure angle and Resultant Force?

Tangential Force on Gear given Pressure angle and Resultant Force calculator uses Tangential Force on Spur Gear = Resultant Force on Spur Gear*cos(Pressure Angle of Spur Gear) to calculate the Tangential Force on Spur Gear, Tangential Force on Gear given Pressure angle and Resultant Force 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 Pressure angle and Resultant Force using this online calculator? To use this online calculator for Tangential Force on Gear given Pressure angle and Resultant Force, enter Resultant Force on Spur Gear (P_rs) & Pressure Angle of Spur Gear (Φ) and hit the calculate button. Here is how the Tangential Force on Gear given Pressure angle and Resultant Force calculation can be explained with given input values -> 947.7921 = 1100*cos(0.53232542185817).

FAQ

What is Tangential Force on Gear given Pressure angle and Resultant Force?

Tangential Force on Gear given Pressure angle and Resultant Force 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 = P_rs*cos(Φ) or Tangential Force on Spur Gear = Resultant Force on Spur Gear*cos(Pressure Angle of Spur Gear). Resultant Force on Spur Gear is the net force acting onto a spur gear & 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 Tangential Force on Gear given Pressure angle and Resultant Force?

Tangential Force on Gear given Pressure angle and Resultant Force 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 = Resultant Force on Spur Gear*cos(Pressure Angle of Spur Gear). To calculate Tangential Force on Gear given Pressure angle and Resultant Force, you need Resultant Force on Spur Gear (P_rs) & Pressure Angle of Spur Gear (Φ). With our tool, you need to enter the respective value for Resultant 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.

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

In this formula, Tangential Force on Spur Gear uses Resultant Force on Spur Gear & Pressure Angle of Spur Gear. We can use 3 other way(s) to calculate the same, which is/are as follows -

Tangential Force on Spur Gear = 2*Torque Transmitted by Spur Gear/Pitch Circle Diameter of Spur Gear
Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(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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