Tangential Force on Gear given Radial Force and Pressure Angle Calculator

✖Radial Force on Spur Gear is defined as the force acting on the gear in the radial direction of the gear.ⓘ Radial Force on Spur Gear [P_r]			+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 Radial Force and Pressure Angle [P_t]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Spur Gears Formulas PDF PDF Image

Tangential Force on Gear given Radial Force and Pressure Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)
P_t = P_r*cot(Φ)
This formula uses 1 Functions, 3 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(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..
Radial Force on Spur Gear - (Measured in Newton) - Radial Force on Spur Gear is defined as the force acting on the gear in the radial direction of the 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

Radial Force on Spur Gear: 550 Newton --> 550 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_r*cot(Φ) --> 550*cot(0.53232542185817)

Evaluating ... ...

P_t = 933.714715629564

STEP 3: Convert Result to Output's Unit

933.714715629564 Newton --> No Conversion Required

FINAL ANSWER

933.714715629564 ≈ 933.7147 Newton <-- Tangential Force on Spur Gear

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Mechanical » Dynamics of Spur Gear » Tangential Force on Gear given Radial Force and Pressure Angle

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

Chilvera Bhanu Teja has verified this Calculator and 200+ more calculators!

< 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 Radial Force and Pressure Angle Formula

LaTeX Go

Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)
P_t = P_r*cot(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 Radial Force and Pressure Angle?

Tangential Force on Gear given Radial Force and Pressure Angle calculator uses Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear) to calculate the Tangential Force on Spur Gear, Tangential Force on Gear given Radial Force and Pressure Angle 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 Radial Force and Pressure Angle using this online calculator? To use this online calculator for Tangential Force on Gear given Radial Force and Pressure Angle, enter Radial Force on Spur Gear (P_r) & Pressure Angle of Spur Gear (Φ) and hit the calculate button. Here is how the Tangential Force on Gear given Radial Force and Pressure Angle calculation can be explained with given input values -> 933.7147 = 550*cot(0.53232542185817).

FAQ

What is Tangential Force on Gear given Radial Force and Pressure Angle?

Tangential Force on Gear given Radial Force and Pressure Angle 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_r*cot(Φ) or Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear). Radial Force on Spur Gear is defined as the force acting on the gear in the radial direction of the 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 Radial Force and Pressure Angle?

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

Home

FREE PDFs

🔍 Search