An angular speed,acceleration and tangential leakage of a synchronal rotary compressor in which both bladed rotor and a cylinder are discussed.The calculation formulae of revolving speed of cylinder and relative speed between the cylinder and bladed rotor are deduced detailedly in this paper.The variation of tangential speed and cylinder acceleration with angular position is investigated for a complete cycle.And some key parameters affected the relative speed are found out,viz,the relative speed depends on the radius of the cylinder and rotary speed of the axis,and the ratio of the cylinder to bladed rotor has not too much influence.It is the theoretic basis of designing and optimizing of structure characteristic of a synchronal rotary compressor.Also a computing formula of leakage related with rotary speed is deduced.It could supply references to thermodynamic calculating.
