Radial Force of Gear given Tangential Force and Pressure Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)
Pr = Pt*tan(Φ)
This formula uses 1 Functions, 3 Variables
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
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.
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
Pr = Pt*tan(Φ) --> 952*tan(0.53232542185817)
Evaluating ... ...
Pr = 560.770855632236
STEP 3: Convert Result to Output's Unit
560.770855632236 Newton --> No Conversion Required
FINAL ANSWER
560.770855632236 560.7709 Newton <-- Radial Force on Spur Gear
(Calculation completed in 00.020 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
Chilvera Bhanu Teja has verified this Calculator and 200+ more calculators!

25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears
Go Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)
Circular Pitch of Gear given Diameter and Number of Teeth
Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Resultant Force on Gear
Go Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)
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)
Pitch Circle Diameter of holes of Medium Size Gear
Go Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2
Diameter of Holes in Gear Web of Medium Size Diameter
Go Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4
Inner Diameter of Rim of Large Size Gear
Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim
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
Addendum Circle Diameter of Medium Size Gear Diameter given Addendum
Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)
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
Dedendum Circle Diameter of Medium Size Gear given Dedundum
Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)
Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter
Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Large Size Gear
Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
Addendum Circle Diameter of Large Size Gear
Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
Pitch Circle Diameter of Gear given Module and Number of Teeth
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Module of Gear given Pitch Circle Diameter
Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Maximum Torque of Gear given Service Factor
Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear
Service Factor for Gear given Torque
Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear
Gear Ratio given Number of Teeth
Go Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion
Gear Ratio given Speed
Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear
Diametral Pitch of Gear given Circular Pitch
Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Outer Diameter of Hub of Large Size Gear
Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft
Thickness of Rim of Large Size Gear
Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear
Module of Gear given Diametral Pitch
Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Radial Force of Gear given Tangential Force and Pressure Angle Formula

Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)
Pr = Pt*tan(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 Radial Force of Gear given Tangential Force and Pressure Angle?

Radial Force of Gear given Tangential Force and Pressure Angle calculator uses Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear) to calculate the Radial Force on Spur Gear, Radial Force of Gear given Tangential Force and Pressure Angle is defined as the force acting onto the gear in the direction radially to itself. This causes side thrust onto the bearing. Radial Force of Gear depends on tangential force and pressure angle. Radial Force on Spur Gear is denoted by Pr symbol.

How to calculate Radial Force of Gear given Tangential Force and Pressure Angle using this online calculator? To use this online calculator for Radial Force of Gear given Tangential Force and Pressure Angle, enter Tangential Force on Spur Gear (Pt) & Pressure Angle of Spur Gear (Φ) and hit the calculate button. Here is how the Radial Force of Gear given Tangential Force and Pressure Angle calculation can be explained with given input values -> 560.7709 = 952*tan(0.53232542185817).

FAQ

What is Radial Force of Gear given Tangential Force and Pressure Angle?
Radial Force of Gear given Tangential Force and Pressure Angle is defined as the force acting onto the gear in the direction radially to itself. This causes side thrust onto the bearing. Radial Force of Gear depends on tangential force and pressure angle and is represented as Pr = Pt*tan(Φ) or Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(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 Radial Force of Gear given Tangential Force and Pressure Angle?
Radial Force of Gear given Tangential Force and Pressure Angle is defined as the force acting onto the gear in the direction radially to itself. This causes side thrust onto the bearing. Radial Force of Gear depends on tangential force and pressure angle is calculated using Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear). To calculate Radial Force of Gear given Tangential Force and Pressure Angle, you need Tangential Force on Spur Gear (Pt) & 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!