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Ball Screw Linear Force Calculator Tool

Ball Screw Linear Force Formula:

\[ F = \frac{2 \pi \times \tau}{L} \]

Nm
m

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1. What is Ball Screw Linear Force?

The linear force in a ball screw system is the force generated along the axis of the screw when torque is applied. It's a crucial parameter in mechanical design and motion control systems.

2. How Does the Calculator Work?

The calculator uses the ball screw linear force equation:

\[ F = \frac{2 \pi \times \tau}{L} \]

Where:

Explanation: The equation converts rotational torque to linear force based on the screw's lead (distance traveled per revolution).

3. Importance of Linear Force Calculation

Details: Accurate force calculation is essential for selecting appropriate ball screws, motors, and ensuring the system can handle required loads without failure.

4. Using the Calculator

Tips: Enter torque in Newton-meters (Nm) and lead in meters (m). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between lead and pitch?
A: Lead is the distance the nut moves in one revolution, while pitch is the distance between threads. For single-start screws, lead equals pitch.

Q2: How does efficiency affect the calculation?
A: This formula assumes 100% efficiency. For more accurate results, divide by efficiency (typically 0.9 for ball screws).

Q3: What are typical lead values?
A: Leads vary from 1mm to 50mm or more, depending on application. Smaller leads provide more force but less speed.

Q4: Can this be used for acme screws?
A: The basic principle applies, but efficiency is much lower (typically 0.3-0.5) for acme screws due to higher friction.

Q5: How to account for preload?
A: Preload increases friction torque but doesn't contribute to output force. It should be considered separately in system design.

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