__Ball Screw Force Calculator:__

__Ball Screw Force Calculator:__

Enter the values of the torque T_{(N-m)} , the gear reduction ratio GRR , the lead L_{(meter)} & the efficiency E_{(%)} to determine the value of the ball screw force F_{(Newton).}

__Ball Screw Force Formula:__

__Ball Screw Force Formula:__

The torque T_{(N-m)} in Newton meter multiply by 6.282 times of the gear reduction ratio GRR is divided by the product of lead L_{(meter)} in meter and the efficiency E_{(%)} in percentage is equal to the ball screw force F_{(Newton)} in Newton.

The equation of the ball screw force F_{(Newton)} can be written as,

F_{(Newton)} = T_{(N-m)} * 2 * PI * GRR / L_{(meter)} * E_{(%)}

Here,

F_{(Newton)} = the ball screw force in Newton

T_{(N-m)} = the torque in Newton meter

GRR = the gear reduction ratio

L_{(meter)} = the lead in meter

E_{(%)} = the efficiency in percentage

__Examples Problems for the Ball Screw Force :__

__Examples Problems for the Ball Screw Force :__

To calculate the ball screw force and the torque 250N/m and the gear reduction ratio 2.4 and the lead .3m and the efficiency 75%

Answer

F = T * 2 * PI * GRR / ( L * E )

F = 250 * 2 * 3.14159 * 2.4 / ( .3 * .75 )

F = 9424.77N

To calculate the efficiency and the ball screw force 9424N and the torque 250N/m and the gear reduction ratio 2.4 and the lead .3m

Answer

F = T * 2 * PI * GRR / ( L * E )

9424 = 250 * 2 * 3.14159 * 2.4 / ( .3 * E )

E = 75%