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)
Pt = Pres*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
Pt = Pres*cos(Φ) --> 1100*cos(0.53232542185817)
Evaluating ... ...
Pt = 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 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has created this Calculator and 600+ more calculators!
Verified by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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Tangential Force on Gear given Pressure angle and Resultant Force
Go Tangential Force on Spur Gear = Resultant Force on Spur Gear*cos(Pressure Angle of Spur Gear)
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Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module
Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
Addendum Circle Diameter of Medium Size Gear given Module and Number of Teeth
Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
Addendum Circle Diameter of Small Size Gear given Module and Number of Teeth
Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
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Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
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Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
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Factor of Safety given Ultimate Stress and Working Stress
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Tangential Force on Gear given Pressure angle and Resultant Force Formula

Tangential Force on Spur Gear = Resultant Force on Spur Gear*cos(Pressure Angle of Spur Gear)
Pt = Pres*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 Pt 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 (Pres) & 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 Pt = Pres*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 (Pres) & 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.
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