Final answer:
The term 'cutting speed' refers to the distance a point on the circumference of a cutter travels in one minute. It's calculated using the formula that combines the radius of the cutter and its angular velocity. Cutting speed is critical in the machining process, as it influences the quality and efficiency of the work.
Step-by-step explanation:
The distance that a point on the circumference of a cutter moves in one minute is known as the cutting speed. It is determined by the formula v = rω, where v is the tangential speed, r is the radius, and ω represents the angular velocity. The cutting speed relates to how fast the cutter is moving at its edge and is an important factor in machining and manufacturing processes.
When you consider a rotating object, all points on the object have the same angular velocity but different tangential speeds depending on their distances from the center of rotation. Points further away from the center of rotation move faster to cover more distance in the same period of rotation. Hence, this speed increases linearly with the radius for an object with constant angular velocity.