Ball screw is a mechanical transmission device used to convert rotary motion into linear motion. It is commonly used in various CNC machine tools, mechanical equipment and automation systems. Calculating the torque of a ball screw requires considering the following factors: 1. Input torque: Input torque is the external torque acting on the ball screw. It can be provided by the driving force, which can be a motor or other power device. The input torque is transmitted to the output through the ball system of the ball screw. 2. Ball screw transmission efficiency: The transmission efficiency of the ball screw is usually above 90%, which may vary depending on the specific ball screw type and usage conditions. The higher the transmission efficiency, the smaller the difference between output torque and input torque. 3. Ball screw dynamic parameters: The dynamic parameters of the ball screw include pitch, lead and ball diameter. Pitch refers to the distance the ball screw moves axially during one revolution of the nut. Lead refers to the angle of rotation required for a ball screw to move axially for one revolution. Ball diameter refers to the diameter of the balls used in the ball screw. Generally speaking, the following formula can be used to calculate the torque of a ball screw: Torque = (input torque × transmission efficiency) / (pitch × 2π) Among them, the input torque and transmission efficiency are known parameters, the pitch represents the axial movement distance of the ball screw, and 2π represents the rotation angle of one revolution. Please note that the units in the above formula must be consistent, for example, the unit of torque is Newton·meter (N·m) and the unit of pitch is meter (m). It should be noted that the torque calculation of the ball screw is a simplified model. In actual applications, some other factors may need to be considered, such as the loading conditions of the ball screw, friction and wear, etc., which may affect the torque. When designing and selecting a ball screw, it is recommended to refer to the relevant ball screw design manual or consult a professional engineer for more accurate calculation methods and parameter selection.

Here is Shuntai’s answer for you: Ball screw and nut assemblies in CNC machine tools are key components used to transmit rotational motion and convert it into linear motion. The ball screw is a mechanical transmission device composed of a screw and a ball nut. Its working principle is to engage the threads on the screw with the balls on the ball nut, and drive the ball nut to move axially along the screw during rotation. There are many balls inside the ball nut. These balls roll in the ball groove, which can reduce friction resistance, improve transmission efficiency, and have high rigidity and positioning accuracy. Ball screws are widely used in CNC machine tools, automation equipment, precision machinery and other fields. The nut is a component used with the ball screw and is usually made of metal material. The nut has internal threads that match the ball threads and mate with the ball screw threads. When the ball screw rotates, the nut moves along the screw axis, achieving linear motion. The design and processing quality of the nut have an important impact on the accuracy and life of the ball screw transmission. Ball screw and nut assemblies are often used in the feed system and positioning system of CNC machine tools to ensure that the machine tool has high stability, positioning accuracy and fast performance during processing. Their use can improve the processing efficiency and accuracy of machine tools, while reducing friction and wear between moving parts and extending the service life of machine tools. If you have any other questions, please contact us. Thank you for reading. Thank you.