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Ball Screw Linear Force Calculator

Ball Screw Linear Force Formula:

\[ Force = \frac{T \times 2\pi}{p} \]

Nm
m

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1. What is Ball Screw Linear Force?

The ball screw linear force represents the axial force generated by a ball screw mechanism when torque is applied. This conversion from rotational motion to linear motion is fundamental in precision machinery and automation systems.

2. How Does the Calculator Work?

The calculator uses the ball screw linear force equation:

\[ Force = \frac{T \times 2\pi}{p} \]

Where:

Explanation: The equation shows that linear force is directly proportional to the applied torque and inversely proportional to the screw pitch.

3. Importance of Linear Force Calculation

Details: Accurate force calculation is essential for selecting appropriate ball screws, sizing motors, and ensuring system performance meets application requirements without overloading components.

4. Using the Calculator

Tips: Enter torque in Newton-meters (Nm) and pitch in meters (m). Both values must be positive numbers. The calculator will compute the resulting linear force in Newtons (N).

5. Frequently Asked Questions (FAQ)

Q1: What affects ball screw efficiency?
A: Efficiency depends on factors like lubrication, screw quality, alignment, and load conditions. Typical ball screw efficiency is 90% or higher.

Q2: How does pitch affect force and speed?
A: Smaller pitch increases force but reduces linear speed for a given rotational speed, while larger pitch does the opposite.

Q3: What are typical pitch values?
A: Pitches range from 1mm (0.001m) for high-force applications to 20mm (0.02m) for high-speed applications.

Q4: How does this relate to motor selection?
A: The calculated force helps determine the required motor torque when considering the mechanical advantage of the screw.

Q5: Are there limitations to this calculation?
A: This is an ideal calculation that doesn't account for friction, efficiency losses, or dynamic effects during acceleration.

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