What problems will occur with work turned between centers when the live center does not run true?

When a live center does not run true, it can lead to inaccuracies in the workpiece, resulting in uneven wear, poor surface finish, and potential dimensional errors. This misalignment may cause vibrations during machining, affecting tool life and overall process stability. Additionally, it can lead to increased setup times and difficulty in achieving the desired tolerances, ultimately impacting productivity and quality.