Tube rail cart (1) whereby the wheels (8-12) are provided with an axial wheel section (24, 25) with a small diameter (D 1 , D 2 ) and an axial wheel section (26, 27) with a big diameter (D 3 , D 4 ) and which is provided with a device (28) for determining a condition of the tube rail cart (1) with measurement units (29, 30) for measuring the rotational speeds (ω 1 , ω 2 ) of one of the front wheels (8, 9) and one of the rear wheels (11, 12); a calculation unit (31) for calculating a determination parameter (P) and a determination unit (32) which determines the relevant condition.