__Gear Force Calculator:__>

__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)}.

__Gear Force Formula:__

__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) }= √( Ft^{2}_{(N)} + Fr^{2}_{(N)} + Fa^{2}_{(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.

__Gear Force Calculation:__

__Gear Force Calculation:__

- 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) }= √( Ft^{2}_{(N)} + Fr^{2}_{(N)} + Fa^{2}_{(N)})

FG_{(N) }= √(300^{2} + 400^{2} + 200^{2})

FG_{(N) }= √290000

FG_{(N) }= 538.52N.

- 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) }= √( Ft^{2}_{(N)} + Fr^{2}_{(N)} + Fa^{2}_{(N)})

Fa_{(N)} = √( Ft^{2}_{(N)} – Fr^{2}_{(N)} – FG^{2}_{(N)})

Fa_{(N)} = √(400^{2} – 300^{2} – 600^{2})

Fa_{(N)} = √110000

Fa_{(N)} = 331.66N.