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:
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%
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%