Processing apparatus and image forming system with rotating punch that punches sheet at punching position

An image forming system comprising:

• an image forming unit configured to form an image on a sheet;
• a punch unit comprising a punch and being configured to punch a sheet, on which an image is formed by the image forming unit at a punching position while the punch is rotating with respect to the sheet;
• a first motor configured to drive the punch unit;
• a first rotary member disposed upstream of the punch unit in a conveyance direction of the sheet and configured to convey the sheet, the first rotary member comprising a roller;
• a second motor configured to drive the first rotary member;
• a control unit configured to control driving of the first motor and the second motor, the control unit comprising (a) circuitry, (b) a processor, or (c) circuitry and a processor;
• and
• a first detection unit comprising a sensor and being configured to detect a surface speed of the first rotary member,
• wherein the control unit is configured to adjust a rotation speed of the second motor so that a surface speed of the first rotary member obtained based on a detection result of the first detection unit substantially matches a tangential component of a rotation speed of the punch at the punching position.

A processing apparatus processing on a sheet, the apparatus comprising:

• a sheet processing unit configured to perform processing on a sheet;
• a first rotary member disposed upstream of the sheet processing unit in a conveyance direction of the sheet and configured to convey the sheet to the sheet processing unit, the first rotary member comprising a roller;
• a motor configured to drive the first rotary member;
• a third rotary member comprising a roller and being configured to be in contact with the first rotary member and to rotate the first rotary member, the third rotary member having a Young's modulus higher than that of the first rotary member;
• and
• a first detection unit comprising a sensor and being configured to detect a rotation cycle of the third rotary member.