Radial Force of Gear given Tangential Force and Pressure Angle 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%

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

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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)
P_r = P_t*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

P_r = P_t*tan(Φ) --> 952*tan(0.53232542185817)

Evaluating ... ...

P_r = 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 00.004 seconds)

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National Institute of Technology (NIT), Tiruchirapalli

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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

Radial Force of Gear given Tangential Force and Pressure Angle Formula

LaTeX Go

Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)
P_r = P_t*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 P_r 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 (P_t) & 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 P_r = P_t*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 (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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