A whirling tool configured to machine a workpiece. The whirling tool includes a plurality of cutting inserts, a cutting insert carrier, and a coolant channel which is arranged in the cutting insert carrier. The cutting insert carrier includes a plurality of cutting insert receptacles for receiving and releasably fastening respectively one of the cutting inserts. The cutting insert receptacles are arranged distributed in the circumferential direction over the cutting insert carrier. The cutting insert carrier further includes a through-opening which extends along a central axis of the cutting insert carrier, and through which the workpiece can be passed during the machining. The cutting inserts protrude into the through-opening, and the coolant channel extends between an inlet opening and an outlet opening, wherein the outlet opening leads into the through-opening and/or is oriented towards the through-opening.

Described herein is a first method of forming a hole in a workpiece, having a first surface and a second surface opposite the first surface. The method includes forming a first hole, having a first diameter, in the workpiece by passing a first cutter through the workpiece from the first surface to the second surface. Additionally, the method includes forming a chamfer in the second surface of the workpiece concentric with the first hole using a second cutter. The chamfer has a second diameter larger than the first diameter. The method further includes forming a second hole, having a third diameter larger than the first diameter, in the workpiece concentric with the first hole by passing a third cutter through the workpiece from the first surface to the second surface.

Whirling tool for machining a workpiece. The whirling tool comprises a plurality of cutting inserts, a cutting insert carrier, and a coolant channel which is arranged in the cutting insert carrier. The cutting insert carrier comprises a plurality of cutting insert receptacles for receiving and releasably fastening respectively one of the cutting inserts. The cutting insert receptacles are arranged so as to be distributed in the circumferential direction over the cutting insert carrier. The cutting insert carrier further comprises a through-opening which extends along a central axis of the cutting insert carrier, and through which the workpiece can be passed during the machining. The cutting inserts protrude into the through-opening, and the coolant channel extends between an inlet opening and an outlet opening, wherein the outlet opening leads into the through-opening and/or is oriented towards the through-opening.

Described herein is a first method of forming a hole in a workpiece, having a first surface and a second surface opposite the first surface. The method includes forming a first hole, having a first diameter, in the workpiece by passing a first cutter through the workpiece from the first surface to the second surface. Additionally, the method includes forming a chamfer in the second surface of the workpiece concentric with the first hole using a second cutter. The chamfer has a second diameter larger than the first diameter. The method further includes forming a second hole, having a third diameter larger than the first diameter, in the workpiece concentric with the first hole by passing a third cutter through the workpiece from the first surface to the second surface.

A cutting method for an inner circumferential face or an outer circumferential face of a work using a cutting tool projecting from a main shaft which turns around a predetermined position serving as a center and for which a turning radius is adjustable, wherein a table that supports the work is set in a rotating central axis that is coaxial with a turning central axis of the main shaft, and the table is rotated in a direction opposite to a turning direction of the main shaft to increase a cutting velocity. The cutting method allows an increase to the cutting velocity under simple control.

A cutting method in which, in cutting a circumferential face of a work, control is enabled to make a cutting velocity constant accurately by using a cutting tool projecting from a main shaft which turns around a predetermined position serving as a center and for which a turning radius is adjustable, wherein, in the case that a turning angular velocity of the main shaft is represented as , a distance from a turning center to a tip of the cutting tool is represented as R, and a cutting velocity of the tip of the cutting tool is set to a constant value C, making the cutting velocity of the cutting tool constant by performing control such that 0 changes in association with a change in the distance R so that
=(C.sup.2{dot over (R)}.sup.2).sup.1/2/R
is formulated (where {dot over (R)} denotes a time differential of the distance R), thus providing an even cut face.

A cutting method in which, in cutting a circumferential face of a work, control is enabled to make a cutting velocity constant accurately by using a cutting tool projecting from a main shaft which turns around a predetermined position serving as a center and for which a turning radius is adjustable, wherein, in the case that a turning angular velocity of the main shaft is represented as , a distance from a turning center to a tip of the cutting tool is represented as R, and a cutting velocity of the tip of the cutting tool is set to a constant value C, making the cutting velocity of the cutting tool constant by performing control such that 0 changes in association with a change in the distance R so that

=(C.sup.2{dot over (R)}.sup.2).sup.1/2/R

is formulated (where {dot over (R)} denotes a time differential of the distance R), thus providing an even cut face.

A cutting method for an inner circumferential face or an outer circumferential face of a work using a cutting tool projecting from a main shaft which turns around a predetermined position serving as a center and for which a turning radius is adjustable, wherein a table that supports the work is set in a rotating central axis that is coaxial with a turning central axis of the main shaft, and the table is rotated in a direction opposite to a turning direction of the main shaft to summate a cutting velocity. The cutting method allows a summation to the cutting velocity under simple control.

A cutting method in which, in cutting an inner circumferential face or an outer circumferential face of a work based on turning of a main shaft around a predetermined position serving as a center, control is enabled to make a cutting velocity constant. To achieve the object, a cutting method is provided for an inner circumferential face or an outer circumferential face of a work, using a cutting tool projecting from a main shaft which turns around a predetermined position serving as a center and for which a turning radius is adjustable, wherein, in the case that a turning angular velocity of the main shaft is represented as , a distance from a turning center to a tip of the cutting tool is represented as R, and a cutting velocity of the tip of the cutting tool is set to a constant value C, making the cutting velocity of the cutting tool is made constant by performing control such that changes in association with a change in the distance R so that

[00001]$={\left(C^2-{\stackrel{.}{R}}^2\right)}^{\frac{1}{2}}/R$

is formulated (where {dot over (R)} denotes a time differential of the distance R), thus providing an even cut face.