did the cavalry participate in any campaigns?
Yes
Roman cavalry
 Examples include the Heraclea (280 BC), in where the Roman cavalry dismayed the enemy leader Pyrrhus by gaining the advantage in a bitterly contested melee against his Thessalian cavalry, then regarded as some of the finest in the Western world, and were only driven back when Pyrrhus deployed his elephants, which panicked the Roman horses.
what is the emesa helmet? A Roman cavalry helmet can you please describe it? It consists of an iron head piece and face mask, the latter of which is covered in a sheet of silver and presents the individualised portrait of a face, likely its owner. when was it discovered? August 1936 what is its function? The Emesa helmet is highly functional, and was likely made for both parades and battle. where was it discovered? The modern-day city of Homs is it on display anywhere? Yes, the National Museum of Damascus. has it been restored? Yes,  the Emesa helmet underwent several unsuccessful restorations, eventually it was taken to the British Museum, where a final restoration was finished what was the helmet made out of? Iron what other equipment did the cavalry you mentioned before use? A Corinthian helmet, mail armour, saddle how was the recruitment done? Large numbers of young men from the First Class of commoners were regularly volunteering for the service, which was considered more glamorous than the infantry. what was the unit size? Each Polybian legion contained a cavalry contingent of 300 horse, and the cavalry contingent was divided into 10 "turmae" of 30 men each what was the unit structure? The cavalry contingent was divided into 10 "turmae" of 30 men each and he squadron members would elect as their officers three "decuriones" , of whom the first to be chosen would act as the squadron's leader and the other two as his deputies. what was the unit structure? The cavalry contingent was divided into 10 "turmae" of 30 men each and the squadron members would elect as their officers three "decuriones", of whom the first to be chosen would act as the squadron's leader and the other two as his deputies. do you know which type of horses were used? UNANSWERABLE
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Roman cavalry [SEP] Campaign record
A key reason for some historians' disparagement of the Roman cavalry were the crushing defeats, at the Trebia and at Cannae, that it suffered at the hands of the Carthaginian general Hannibal during the latter's invasion of Rome (218-6 BC) which were only rendered possible because of a powerful cavalry force. But Sidnell argues that this is only because of a consistent numerical superiority in cavalry. Another disadvantage for the Romans in the Second Punic War was that their respective cavalry were melee cavalry better suited for combating enemy melee cavalry and engaging the rear and flanks of infantry formations.