Ball Screw Linear Force Formula:
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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.
The calculator uses the ball screw linear force equation:
Where:
Explanation: The equation converts rotational torque to linear force based on the screw's lead (distance traveled per revolution).
Details: Accurate force calculation is essential for selecting appropriate ball screws, motors, and ensuring the system can handle required loads without failure.
Tips: Enter torque in Newton-meters (Nm) and lead in meters (m). Both values must be positive numbers.
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.