Ball Screw Force Calculator, Formula, Ball Screw Force Calculation

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).

 Enter The Torque: N-m Enter The Gear Reduction Ratio: Enter The Lead: meter Enter The Efficiency: % Result – The Ball Screw Force: Newton

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 :

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%

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