a surface structure configuration or a prominent or clearly defined structure of the tire can be put into storage by means of the sensing device 26 in that respect storage may be effected in the sensed region over a complete revolution or full angle of 360 u00b0 in which case the entire structural pattern contained in that angle on the vehicle wheel tire is sensed and stored in a structure storage device as indicated diagrammatically at 28 in fig3 which is suitably connected to the sensing device 26 structural configurations or clearly defined structural patterns on the tire can be called up from the storage device 28 and passed in the form of intents to the counter 3 subsequent operation and evaluation of the counter results then takes place in the same manner as described above with reference to the embodiment of fig1 to which attention is therefore accordingly directed again at this time it will be noted from the foregoing that the invention affords the advantage that there is no longer any need for the sensing device for sensing a reference mark on the vehicle wheel to be oriented centrally with respect to the wheel insofar as the sensing device can be arranged on the lifting means for lifting the wheel it is however also possible for the sensing device to be provided on the movable unbalance measuring unit which includes the friction wheel indicated at in fig1 and 3 furthermore a vehicle wheel to which at least one balancing weight is to be fixed.