Diagnose router bit burning from burn location, chips, sound, edge condition and toolpath. Verify one cause and change one variable at a time.

Calculate n and C from a worked Taylor tool life example, predict life at a new speed, and plan controlled trials before choosing production settings.

Decide when a small insert nose radius can reduce radial-force risk, how it trades corner strength and theoretical finish, and when to check the setup first.

Use the cutting speed formula to convert Vc or SFM to RPM, choose the correct active diameter, separate feed models, and check machine limits.

Match planer marks to likely causes, confirm the pattern safely, and decide whether to clean, adjust, inspect or replace planer knives.

Diagnose drill breakage by where and when it happens. Check chips, coolant, runout, entry, breakthrough and workholding before changing parameters.