The present invention refers to an accelerating cyclone that separates solid particles, comprising in its general structure a lower conical body (1) (17A and 17B), comprising a lower opening (18), a central cylindrical body (2) immediately above the conical body (1) whose diameter is smaller than the largest diameter of the conical body cone (1), and a third upper, also cylindrical, body (3) of smaller diameter than the diameter of the central cylindrical body (2), comprising a side opening for the acceleration air output (5); where the cylindrical central body (2) allows to accelerate the speed of the solid material particles and is the cyclone pressure chamber; and where said cylindrical central body (2) comprises a side opening for the acceleration air input (8) and at least one duct (9).