# Gear Force Calculator, Formula, Gear Force Calculation

## Gear Force Calculator:>

Enter the values of tangential force, Ft(N), radial force, Fr(N) and axial force, Fa(N) to determine the value of gear force, FG(N).

 Enter Tangential Force: N Enter Radial Force: N Enter Axial Force: N Result – Gear Force: N

## Gear Force Formula:

Gear force is the resultant force experienced by a gear, combining tangential, radial, and axial forces due to meshing gears. It indicates the overall stress on a gear system during operation.

Gear Force, FG(N) in Newtons is calculated by taking the square root of the sum of the squares of the tangential force, Ft(N) in Newtons, radial force, Fr(N) in Newtons and axial force, Fa(N) in Newtons.

Gear Force, FG(N) = √( Ft2(N) + Fr2(N) + Fa2(N))

FG(N) = gear force in Newtons, N.

Ft(N) = tangential force in Newtons, N.

Fr(N) = radial force in Newtons, N.

Fa(N) = axial force in Newtons, N.

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### Gear Force Calculation:

1. A gear system experiences a tangential force of 300N, a radial force of 400N, and an axial force of 200N. Calculate the total gear force acting on the system.

Given: Ft(N) = 300N, Fr(N) = 400N, Fa(N) = 200N.

Gear Force, FG(N) = √( Ft2(N) + Fr2(N) + Fa2(N))

FG(N) = √(3002 + 4002 + 2002)

FG(N) = √290000

FG(N) = 538.52N.

1. Given a gear force (FG) of 600N, a tangential force (Ft) of 400N, and a radial force (Fr) of 300N, find the axial force (Fa).

Given: Ft(N) = 400N, Fr(N) = 300N, FG(N) = 600N.

Gear Force, FG(N) = √( Ft2(N) + Fr2(N) + Fa2(N))

Fa(N) = √( Ft2(N) – Fr2(N) – FG2(N))

Fa(N) = √(4002 – 3002 – 6002)

Fa(N) = √110000

Fa(N) = 331.66N.